Maths Solved Exercises

Maths Solved Exercises | Enjoy Learning Mathematics

Choose a problem to access the corresponding solution.

Find the volume of the square pyramid as a function of \(a\) and \(H\) by slicing method.

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Prove that \[\lim_{x \rightarrow 0}\frac{\sin x}{x}=1\]

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Prove that

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Calculate the half derivative of \(x\)

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Prove Wallis Product Using Integration

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Calculate the radius R

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Calculate the volume of Torus using cylindrical shells

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Find the derivative of exponential \(x\) from first principles

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Calculate the sum of areas of the three squares

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Find the equation of the curve formed by a cable suspended between two points at the same height

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Solve the equation for real values of \(x\)

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Solve the equation for \(x\epsilon\mathbb{R}\)

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Determine the angle \(x\)

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Calculate the following limit

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Calculate the following limit

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Calculate the integral

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Challenging problem

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Prove that

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Prove that \(e\) is an irrational number

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Find the derivative of \(y\) with respect to \(x\)

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Find the limit of width and height ratio

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How Tall Is The Table ?

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Why 0.9999999...=1

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Solve the equation for \(x \in \mathbb{R}\)

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Is the walk possible?

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Calculate the following

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Is \(\pi\) an irrational number ?

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How far apart are the poles ?

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Solve for \(x \in \mathbb{R}\)

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What values of \(x\) satisfy this inequality

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Prove that the function \(f(x)=\frac{x^{3}+2 x^{2}+3 x+4}{x} \) has a curvilinear asymptote \(y=x^{2}+2 x+3\)

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Why does the number \(98\) disappear when writing the decimal expansion of \(\frac{1}{9801}\) ?

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Only one in 1000 can solve this math problem

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Error to avoid that leads to:

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What's the problem ?

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Explain your answer without using calculator

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Determine the square's side \(x\)

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Find out what is a discriminant of a quadratic equation.

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Calculate the rectangle's area

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Infinitely nested radicals

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Determine the square's side \(x\)

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Wonderful math fact: 12542 x 11 = 137962

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Find the volume of the interior of the kiln

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Calculate the sum

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What is the new distance between the two circles ?

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Calculate the area of the Squid Game diagram blue part

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Calculate the limit

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Find the infinite sum

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Calculate the integral

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Prove that

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Can we set up this tent ?

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Find the value of \(h\)

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Find the length of the black segment

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Prove that pi is less than 22/7

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Find the value of \(x\)

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Amazing !

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Prove that

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What is the weight of all animals ?

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Determine the length \(x\) of the blue segment

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How many triangles does the figure contain ?

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if we draw an infinite number of circles packed in a square using the method shown below, will the sum of circles areas approach the square's area?

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What is the value of the following infinite product?

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Which object weighs the same as the four squares?

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What is \((-1)^{\pi}\) equal to?

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Can you solve it?

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Can you solve it?

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Great Math Problem

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Calculate the integral \(\int_{0}^{1}(-1)^{x} d x\)

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Find the general term of the sequence

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Find the radius of the blue circles

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Determine the area of the green square

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Find the area of the square

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Calculate the integral

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Calculate the integral

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Calculate

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What is the radius of the smallest circle ?

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Find the Cartesian equation of the surface

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Calculate the integral

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Calculate the limit

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Can you solve this ?

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Solve the quintic equation for real \(x\)

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How many students study no language ?

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Probability of seeing a car in 10 minutes

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What is the number of where the car stands ?

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What is the value of \(x\) ?

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Prove that

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Is it possible to solve for \(x\) so that \(ln(x)\), \(ln(2x)\), and \(ln(3x)\) form a right triangle?

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How many times will circle A revolve around itself in total ?

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Find the distance \(BC\)

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Solve for a^6, a : positive number

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Solve the quadratic equation by Completing the Square

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Prove that

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The area of a circle by slicing

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Determine the length and width of the rectangular region of the house

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a+b=20, find the maximum value of a²b

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Why 1+2+3+4+... is not equal to -1/12

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Elon Musk's interview question

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Proof of Thales' Theorem

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How to check if two line segments intersect?

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What is the minimum number of operations required to reach 100?

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Fundamental Theorem of Calculus

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"100 doors" problem

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