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. Solution Prove that \[\lim_{x \rightarrow 0}\frac{\sin x}{x}=1\] Solution Prove that Solution ↓ ↓ Calculate the half derivative of \(x\) Solution Prove Wallis Product Using Integration Solution Calculate the radius R Solution ↓ ↓ Calculate the volume of Torus using cylindrical shells Solution Find the derivative of exponential \(x\) from first principles Solution Calculate the sum of areas of the three squares Solution ↓ ↓ Find the equation of the curve formed by a cable suspended between two points at the same height Solution Solve the equation for real values of \(x\) Solution Solve the equation for \(x\epsilon\mathbb{R}\) Solution ↓ ↓ Determine the angle \(x\) Solution Calculate the following limit Solution Calculate the following limit Solution ↓ ↓ Calculate the integral Solution Challenging problem Solution Prove that Solution ↓ ↓ Prove that \(e\) is an irrational number Solution Find the derivative of \(y\) with respect to \(x\) Solution Find the limit of width and height ratio Solution ↓ ↓ How Tall Is The Table ? Solution Why 0.9999999...=1 Solution Solve the equation for \(x \in \mathbb{R}\) Solution ↓ ↓ Is the walk possible? Solution Calculate the following Solution Is \(\pi\) an irrational number ? Solution ↓ ↓ How far apart are the poles ? Solution Solve for \(x \in \mathbb{R}\) Solution What values of \(x\) satisfy this inequality Solution ↓ ↓ Prove that the function \(f(x)=\frac{x^{3}+2 x^{2}+3 x+4}{x} \) has a curvilinear asymptote \(y=x^{2}+2 x+3\) Solution Why does the number \(98\) disappear when writing the decimal expansion of \(\frac{1}{9801}\) ? Solution Only one in 1000 can solve this math problem Solution ↓ ↓ Error to avoid that leads to: Solution What's the problem ? Solution Explain your answer without using calculator Solution ↓ ↓ Determine the square's side \(x\) Solution Find out what is a discriminant of a quadratic equation. Solution Calculate the rectangle's area Solution ↓ ↓ Infinitely nested radicals Solution Determine the square's side \(x\) Solution Wonderful math fact: 12542 x 11 = 137962 Explanation ↓ ↓ Find the volume of the interior of the kiln Solution Calculate the sum Solution What is the new distance between the two circles ? Solution ↓ ↓ Calculate the area of the Squid Game diagram blue part Solution Calculate the limit Solution Find the infinite sum Solution ↓ ↓ Calculate the integral Solution Prove that Solution Can we set up this tent ? Solution ↓ ↓ Find the value of \(h\) Solution Find the length of the black segment Solution Prove that pi is less than 22/7 Solution ↓ ↓ Find the value of \(x\) Solution Amazing ! Solution Prove that Solution ↓ ↓ What is the weight of all animals ? Solution Determine the length \(x\) of the blue segment Solution How many triangles does the figure contain ? Solution ↓ ↓ 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? Solution What is the value of the following infinite product? Solution Which object weighs the same as the four squares? Solution ↓ ↓ What is \((-1)^{\pi}\) equal to? Solution Can you solve it? Solution Can you solve it? Solution ↓ ↓ Great Math Problem Solution Calculate the integral \(\int_{0}^{1}(-1)^{x} d x\) Solution Find the general term of the sequence Solution ↓ ↓ Find the radius of the blue circles Solution Determine the area of the green square Solution Find the area of the square Solution ↓ ↓ Calculate the integral Solution Calculate the integral Solution Calculate Solution ↓ ↓ What is the radius of the smallest circle ? Solution Find the Cartesian equation of the surface Solution Calculate the integral Solution ↓ ↓ Calculate the limit Solution Can you solve this ? Solution Solve the quintic equation for real \(x\) Solution ↓ ↓ How many students study no language ? Solution Probability of seeing a car in 10 minutes Solution What is the number of where the car stands ? Solution What is the value of \(x\) ? Solution Prove that Solution Is it possible to solve for \(x\) so that \(ln(x)\), \(ln(2x)\), and \(ln(3x)\) form a right triangle? Solution How many times will circle A revolve around itself in total ? Solution Find the distance \(BC\) Solution Solve for a^6, a : positive number Solution Solve the quadratic equation by Completing the Square Solution Prove that Solution The area of a circle by slicing Solution Determine the length and width of the rectangular region of the house Solution a+b=20, find the maximum value of a²b Solution Why 1+2+3+4+... is not equal to -1/12 Solution Elon Musk's interview question Solution Proof of Thales' Theorem Solution How to check if two line segments intersect? Solution What is the minimum number of operations required to reach 100? Solution Fundamental Theorem of Calculus Solution "100 doors" problem Solution