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Intuitive Math
United States
Приєднався 28 лис 2019
This channel features simple proofs and problems aimed at providing math insights to middle and high school students.
Proving Undecidability With Turing Reduction To LHalt
In this video, we prove that the language LAllReject (the set of machines that reject all inputs) is undecidable via a Turing reduction to LHalt.
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Відео
Introduction To C Style Strings (Null Character, Array Decay, Pointer Arithmetic)
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This video provides a brief introduction to c-style strings. 0:00 - Introduction (Representation of C-Style Strings) 3:45 - Finding Length of C-Style String
Discrete Math: Proof By Mathematical Induction (2 Examples)
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In this video, we explain how to use mathematical induction to prove formulas/statements and then work through two examples. 0:00 - Introduction 1:10 - Example #1 (Sum of Numbers From 1 to N = N(N 1)/2) 3:38 - Example #2 (Inequality Proof)
Can You Solve Tricky Geometry Problem? | Math Olympiad Question
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In this video, we go over the following geometry problem: The area of the region where the 2 quarter-circles overlap is 16. What is the area of the shaded region? Original Problem: Cshearer41/status/1106831918279155713/photo/1
Can You Solve Fascinating Geometry Problem? | Math Olympiad
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In this video, we go over the following geometry problem: These two circles have the same center. What is the area of the shaded region? Original Problem: Cshearer41/status/1380901089390780422/photo/1
Can You Solve Fun Geometry Problem? | Math Olympiad
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In this video, we go over the following geometry problem: This figure is composed of three parallelograms of equal height. What is the area of the middle parallelogram, if the areas of the green and pink parallelograms are 12 and 24, respectively? Original Problem: MathyMahdi/status/1409905756451729409/photo/1
Can You Solve This Satisfying Geometry Problem? | Math Olympiad
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In this video, we go over the following geometry problem: Two semicircles are drawn in a square with a side length of 8. A full circle is then drawn tangent to all three shapes. What is the radius of that circle?
Can You Solve This Viral Geometry Problem? | Math Olympiad
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In this video, we go over the following geometry problem: The pair of rectangles are congruent and two units long. What is the area of the semicircle?
Can You Solve This Clever Geometry Problem? | Math Olympiad
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In this video, we go over the following geometry problem: the blue rectangle has an area of 12, and the pink rectangle has an area of 6. What is the area of the green rectangle?
Challenging Geometry Problem Solved In Two Ways | Math Olympiad
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In this video, we go over the following geometry problem: what is the area of the green shaded region in this figure composed of four squares? Original Problem: Cshearer41/status/1372545154607894528/photo/1
Parabolas - Everything You Need To Know (Part 2)
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In this video, I cover the vertex form of parabolas and how to convert between standard and vertex form. In addition, I work through an example of graphing a parabola given in vertex form. 0:24 - Vertex Form of Parabola (How to Find Coordinates of Vertex, Y-Intercept) 1:46 - Converting From Standard to Vertex Form By Completing The Square (Example 1) 4:46 - Example 2: Graph Parabola in Vertex F...
Parabolas - Everything You Need to Know (Part 1)
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Parabolas - Everything You Need to Know (Part 1)
How To Use Quadratic Formula To Solve Quadratic Equations - Quick and Easy (Algebra 2)
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How To Use Quadratic Formula To Solve Quadratic Equations - Quick and Easy (Algebra 2)
How To Solve Quadratic Equations by Factoring - Comprehensive Guide (Algebra 2 Made Easy)
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How To Solve Quadratic Equations by Factoring - Comprehensive Guide (Algebra 2 Made Easy)
Algebra 2 Word Problems: Practice Solving Systems of Equations (Quick and Easy)
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Algebra 2 Word Problems: Practice Solving Systems of Equations (Quick and Easy)
How To Solve Systems of Equations With 3 Variables - Comprehensive Guide (Algebra 2)
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How To Solve Systems of Equations With 3 Variables - Comprehensive Guide (Algebra 2)
Useful Math Olympiad Trick - Number of Games In Knock-Out Tournament
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Useful Math Olympiad Trick - Number of Games In Knock-Out Tournament
How To Solve System of Equations With Substitution and Elimination - Comprehensive Guide (Algebra 2)
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How To Solve System of Equations With Substitution and Elimination - Comprehensive Guide (Algebra 2)
Slope-Intercept, Standard, and Point-Slope Form - Comprehensive Guide (Algebra 2 Made Easy)
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Slope-Intercept, Standard, and Point-Slope Form - Comprehensive Guide (Algebra 2 Made Easy)
How To Graph Transformations of Functions - Comprehensive Guide (Algebra 2 Made Easy)
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How To Graph Transformations of Functions - Comprehensive Guide (Algebra 2 Made Easy)
Stretching and Shrinking Transformations - Comprehensive Guide (Algebra 2 Made Easy)
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Stretching and Shrinking Transformations - Comprehensive Guide (Algebra 2 Made Easy)
Parent Functions and Transformations - Comprehensive Guide (Algebra 2 Made Easy)
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Parent Functions and Transformations - Comprehensive Guide (Algebra 2 Made Easy)
Can You Solve This Tricky Geometry Problem For High School Students | Math Olympiad
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Can You Solve This Tricky Geometry Problem For High School Students | Math Olympiad
Volume of Water in a Horizontal Cylindrical Tank (General Formula)
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Volume of Water in a Horizontal Cylindrical Tank (General Formula)
Length of Elastic Band Wrapped Around Pipes
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Length of Elastic Band Wrapped Around Pipes
Vectors - All You Need to Know For Pre-Calculus!
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Vectors - All You Need to Know For Pre-Calculus!
SAT Math Section Walkthrough (No Calculator)
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SAT Math Section Walkthrough (No Calculator)
Verifying Trigonometric Identities/Equations (4 Examples)
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Verifying Trigonometric Identities/Equations (4 Examples)
How area of a quadrilateral can be determined when its four sides are given?
Heron’s formula for quadrilaterals
Wow this is so good
Very good explanation
ua-cam.com/video/Kmpy2nYnZQM/v-deo.htmlsi=usj5ctPa9do49QyD
👍
Yay, that was my solution.
What is the volume of water in terms of h only
Outstanding proof! The clearest I've seen so far, thank you so much 😎
VISHNU KANNAN!????
This was a quality video, it should gain more attention.
awesome! Super clear proof. Thanks!!!
May God bless you ❤❤❤❤
yo make more trig videos
Please standardize your g coefficient or explain that this must be on a different planet with different gravity.
good stuff man
wow!!!
I was confused on this part when reading "cracking the coding interview" and this cleared it up. Thank you !
The divisibility rules of every number from 1 to 100 1: Any number is a multiple of 1 2: The number ends in 0, 2, 4, 6 or 8 3: The sum of the digits is a multiple of 3 4: The 10s digit is even and the last digit is 0, 4 or 8, or the 10s digit is odd and the last digit is 2 or 6 5: The number ends in 0 or 5 6: The number is a multiple of 2 and 3 at the same time 7: The difference between twice the last digit and the rest of the number is a multiple of 7 8: The 100s digit is even and the last 2 digits are a multiple of 8, or the 100s digit is odd and the last 2 digits are 4 times an odd number 9: The sum of the digits is a multiple of 9 10: The number ends in 0 11: The difference between the last digit and the rest of the number is a multiple of 11 12: The number is a multiple of 3 and 4 at the same time 13: The sum of 4 times the last digit and the rest of the number is a multiple of 13 14: The number is a multiple of 2 and 7 at the same time 15: The number is a multiple of 3 and 5 at the same time 16: The 1,000s digit is even and the last 3 digits are a multiple of 16 or the 1,000s digit is odd and the last 3 digits are 8 times an odd number 17: The difference between 5 times the last digit and the rest of the number is a multiple of 17 18: The number is a multiple of 2 and 9 at the same time 19: The sum of twice the last digit and the rest of the number is a multiple of 19 20: The number ends in 00, 20, 40, 60 or 80 21: The number is a multiple of 3 and 7 at the same time 22: The number is a multiple of 2 and 11 at the same time 23: The sum of 7 times the last digit and the rest of the number is a multiple of 23 24: The number is a multiple of 3 and 8 at the same time 25: The number ends in 00, 25, 50 or 75 26: The number is a multiple of 2 and 13 at the same time 27: The difference between 8 times the last digit and the rest of the number is a multiple of 27 28: The number is a multiple of 4 and 7 at the same time 29: The sum of thrice the last digit and the rest of the number is a multiple of 29 30: The number is a multiple of 3 and 10 at the same time 31: The difference between thrice the last digit and the rest of the number is a multiple of 31 32: The 10,000s digit is even and the last 4 digits are a multiple of 32 or the 10,000s digit is odd and the last 4 digits are 16 times an odd number 33: The number is a multiple of 3 and 11 at the same time 34: The number is a multiple of 2 and 17 at the same time 35: The number is a multiple of 5 and 7 at the same time 36: The number is a multiple of 4 and 9 at the same time 37: The difference between 11 times the last digit and the rest of the number is a multiple of 37 38: The number is a multiple of 2 and 19 at the same time 39: The number is a multiple of 3 and 13 at the same time 40: The 100s digit is even and the last 2 digits are 00, 40 or 80, or the 100s digit is odd and the last 2 digits are 20 or 60 41: The difference between 4 times the last digit and the rest of the number is a multiple of 41 42: The number is a multiple of 2, 3 and 7 at the same time 43: The sum of 13 times the last digit and the rest of the number is a multiple of 43 44: The number is a multiple of 4 and 11 at the same time 45: The number is a multiple of 5 and 9 at the same time 46: The number is a multiple of 2 and 23 at the same time 47: The difference between 14 times the last digit and the rest of the number is a multiple of 47 48: The number is a multiple of 3 and 16 at the same time 49: The sum of 5 times the last digit and the rest of the number is a multiple of 49 50: The number ends in 00 or 50 51: The number is a multiple of 3 and 17 at the same time 52: The number is a multiple of 4 and 13 at the same time 53: The sum of 16 times the last digit and the rest of the number is a multiple of 53 54: The number is a multiple of 2 and 27 at the same time 55: The number is a multiple of 5 and 11 at the same time 56: The number is a multiple of 7 and 8 at the same time 57: The number is a multiple of 3 and 19 at the same time 58: The number is a multiple of 2 and 29 at the same time 59: The sum of 6 times the last digit and the rest of the number is a multiple of 59 60: The number is a multiple of 3 and 20 at the same time 61: The difference between 6 times the last digit and the rest of the number is a multiple of 61 62: The number is a multiple of 2 and 31 at the same time 63: The number is a multiple of 7 and 9 at the same time 64: The 100,000s digit is even and the last 5 digits are a multiple of 64 or the 100,000s digit is odd and the last 5 digits are 32 times an odd number 65: The number is a multiple of 5 and 13 at the same time 66: The number is a multiple of 2, 3 and 11 at the same time 67: The difference between 20 times the last digit and the rest of the number is a multiple of 67 68: The number is a multiple of 4 and 17 at the same time 69: The number is a multiple of 3 and 23 at the same time 70: The number is a multiple of 7 and 10 at the same time 71: The difference between 7 times the last digit and the rest of the number is a multiple of 71 72: The number is a multiple of 8 and 9 at the same time 73: The sum of 22 times the last digit and the rest of the number is a multiple of 73 74: The number is a multiple of 2 and 37 at the same time 75: The number is a multiple of 3 and 25 at the same time 76: The number is a multiple of 4 and 19 at the same time 77: The number is a multiple of 7 and 11 at the same time 78: The number is a multiple of 2, 3 and 13 at the same time 79: The sum of 8 times the last digit and the rest of the number is a multiple of 79 80: The 1,000s digit is even and the last 3 digits are a multiple of 80 or the 1,000s digit is odd and the last 3 digits are 40 times an odd number 81: The difference between 8 times the last digit and the rest of the number is a multiple of 81 82: The number is a multiple of 2 and 41 at the same time 83: The sum of 25 times the last digit and the rest of the number is a multiple of 83 84: The number is a multiple of 3, 4 and 7 at the same time 85: The number is a multiple of 5 and 17 at the same time 86: The number is a multiple of 2 and 43 at the same time 87: The number is a multiple of 3 and 29 at the same time 88: The number is a multiple of 8 and 11 at the same time 89: The sum of 9 times the last digit and the rest of the number is a multiple of 89 90: The number is a multiple of 9 and 10 at the same time 91: The number is a multiple of 7 and 13 at the same time 92: The number is a multiple of 4 and 23 at the same time 93: The number is a multiple of 3 and 31 at the same time 94: The number is a multiple of 2 and 47 at the same time 95: The number is a multiple of 5 and 19 at the same time 96: The number is a multiple of 3 and 32 at the same time 97: The difference between 29 times the last digit and the rest of the number is a multiple of 97 98: The number is a multiple of 2 and 49 at the same time 99: The number is a multiple of 9 and 11 at the same time 100: The number ends in 00
sinx is equal to x only when x=0
thanks this helped alot❤
Thank you, I have a PMO tomorrow and it will really help
Excellent!👍
my head hurts, but thank u for the explanation :)
This 20 Minuite Video was clearer that my teacher's 4 one hour lectures
at the fist example the cosx+cosxsinx-cosx+cosxsinx/1+sinx-sinx-sin^2 why is the cosx and sin x canceled is it because cos/sin=0 or because cos and cos is the same and is is crossed out also as to sin and sin? ty
Thanks sm for this video
Glad it was helpful!
the legend is back again
My teacher is forcing me to watch your video. So up yours
Just assume the height of the rectangle is 0 lol, the radius is 2 lol, the area is pi R^2/2 lol, the area is 4pi/2 lol, the area is 2pi lol
I'm so glad your posting again, your videos really help me learn math and I'm so thankful that you explain things in a simple learnable way. Thank you for your work.
Thanks for the kind words!
Hmm, I came up with a purely geometrical argument. I imagined two line segments of length x (where x = 2 is the horizontal dimension of these rectangles) connected together by a pivot point that can otherwise move freely, and the right segment pinned to "the page" by another pivot point. The left segment must remain horizontal as the right segment can be swept upwards by an arbitrary angle, sweeping out an arc of radius = x. Thus one can manipulate this assembly to create the relevant aspects of the situation depicted in this problem. Because the left segment remains horizontal, the left edge of the left segment also sweeps out an arc of radius x. My initial question was, is the radius of the semicircle less than or greater than x? By visual inspection of how my system sweeps, I could see that if R > x or if R < x, there could never be a point "C" where the left end of the left segment intersects the semicircle. I can't really show this without a picture, but if you think about it, you'll see what I mean. Thus, R = x. Thus, the area of the semicircle is simply half the area of a circle of radius x = 2, which is pi*x^2 / 2 = 2 Pi.
I like it
thank you dude
How is 8c2 = 28?
8C2 = (8 * 7)/(2 * 1) = 56/2 = 28
Hello sir, I am a self-learner. I need your help. Could you please help me with this question? Rachel is a keen runner. She is supposed to attend running training five days per week. Rachel finds that if she runs one day, the probability that she will run again the next day is 4\5. And if she does not run one day , the probability that she will not run the next day is 3\4. Suppose that Rachel runs one day: (a) What is the probability that she runs the next day? (b) What is the probability that she runs the day after that? (c) What is the probability that she runs exactly twice in the next three days? Answer from textbook is (a) = 4\5 (b) = 0.79 (c) = 0.31
I did it the same way except up until the point AC^2=AD^2+CD^2. Instead, I derived an equation using the area of the right triangle where AC x BD = AD x CD but eventually got the same result
😊😊😊
Wow it looks so easy with the help of your video
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shut the toot up
i subscribed dont worry ;) winky face winky face winky face
you are rly smart :)
You are a god
Thanks for the explanation :)
this was awesome!
very well done!
muchas gracias senor
Please why is it that with the fifth practice problem, the 2 was negated. Why did it be like -log3x=2 ?
So simple it is !
21:10 Where are you getting a vector with an x-coordinate of negative root 3? You just got done showing us that the component form of v was <root 3,1> , not negative root 3
i think hes showing that the angle theta inside the triangle must =30, since the angle around the vectors =150 degrees. and 180-150 = 30. so by using -root 3, hesw proving that the angle to the vector in the opposite direction is 150 degrees, then the angle theta must be 30 degrees
life saver