Evaluate the integral by changing to polar coordinatesye^x da, where r is in the first quadrant enclosed by the circle x^2+y^2=25

How to solve a simultaneous equation involved with fractions?

The area of a rectangle is 10 cm^2. one side of the rectangle is x cm. express the perimeter of the rectangle in terms of x and show that this rectangle cannot have a perimeter of 12 cm. the perimeter of the rectangle in terms of x is __ cm

Use the method of cylindrical shells to find the volume v generated by rotating the region bounded by the curves about the given axis.y = 7ex, y = 7e^-x, x = 1; about the y-axis