Solved Mathematics Exercises

Solved Mathematics Exercises | Enjoy Learning Mathematics

Discover our solved mathematics exercises with clear, step-by-step solutions to improve your math skills. Firstly, explore problems in algebra, geometry, and calculus. Moreover, each solution is explained in detail so that you can follow along easily. Finally, practice regularly to strengthen your understanding and enjoy learning mathematics.

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

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

Prove that

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Calculate the half derivative of \(x\)

Prove Wallis Product Using Integration

Calculate the radius R

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Calculate the volume of Torus using cylindrical shells

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

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

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

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

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Determine the angle \(x\)

Calculate the following limit

Calculate the following limit

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Calculate the integral

Challenging problem

Prove that

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Prove that \(e\) is an irrational number

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

Find the limit of width and height ratio

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How Tall Is The Table ?

Why 0.9999999...=1

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

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Is the walk possible?

Calculate the following

Is \(\pi\) an irrational number ?

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How far apart are the poles ?

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

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 \(y=x^{2}+2 x+3\)

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

Only one in 1000 can solve this math problem

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Error to avoid that leads to:

What's the problem ?

Explain your answer without using calculator

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Determine the square's side \(x\)

Find out what is a discriminant of a quadratic equation.

Calculate the rectangle's area

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Infinitely nested radicals

Determine the square's side \(x\)

Wonderful math fact: 12542 x 11 = 137962

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Find the volume of the interior of the kiln

Calculate the sum

What is the new distance between the two circles ?

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Calculate the area of the Squid Game diagram blue part

Calculate the limit

Find the infinite sum

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Calculate the integral

Prove that

Can we set up this tent ?

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Find the value of \(h\)

Find the length of the black segment

Prove that pi is less than 22/7

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Find the value of \(x\)

Amazing !

Prove that

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What is the weight of all animals ?

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

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?

What is the value of the following infinite product?

Which object weighs the same as the four squares?

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

Can you solve it?

Can you solve it?

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Great Math Problem

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

Find the general term of the sequence

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Find the radius of the blue circles

Determine the area of the green square

Find the area of the square

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Calculate the integral

Calculate the integral

Calculate

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What is the radius of the smallest circle ?

Find the Cartesian equation of the surface

Calculate the integral

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Calculate the limit

Can you solve this ?

Solve the quintic equation for real \(x\)

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How many students study no language ?

Probability of seeing a car in 10 minutes

What is the number of where the car stands ?

What is the value of \(x\) ?

Prove that

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

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

Find the distance \(BC\)

Solve for a^6, a : positive number

Solve the quadratic equation by Completing the Square

Prove that

The area of a circle by slicing

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

a+b=20, find the maximum value of a²b

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

Elon Musk's interview question

Proof of Thales' Theorem

How to check if two line segments intersect?

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

Fundamental Theorem of Calculus

"100 doors" problem