## If the perimeter and the area of a circle are numerically equal, then the radius of the circle is

Let’s denote the radius of the circle as “r.” The perimeter (circumference) of a circle is given by the formula 2πr^2, and the area of the circle is given by […]

## How can we solve this integral ∫xdx/ (1+x^2) by integration by parts?

To solve the integral ∫(x dx) / (1 + x^2) using integration by parts, you can apply the following formula for integration by parts: ∫u dv = uv – ∫v […]

## If one root of the equation 2x^2-3x+b is double the other, what is b?

Let’s call the roots of the quadratic equation 2x^2 – 3x + b as r₁ and r₂. According to the given information, one root is double the other. This means […]

## What is the x value of 3x – 5 = 16?

To find the value of x that satisfies the equation 3x – 5 = 16, you can follow these steps: Step 1: Add 5 to both sides of the equation […]