Calculus Answers

Trace the following curves
1) y square equal To (x-1)(x+1)(x-3)
2) y square (x-a) equal to x square (x+a); a is greater than 0

Show that x equal to x square /2 log (1+x) is smaller than x- x square /2(1+x) for all x is greater than 0

Find the length of the curve y equal to log sec x between the points x equal to 0 and x equal to pi/3

The lemniscates r*2equal to a*2 cos2 thita revolves about a tangent at a pole . Show that the volume generated is pi square multiply a cube/4

Find the maximum and minimum values of function f(x) equal to sin x+cos 2x in(0, 2pi)

Find the area of the region enclosed by the curves x*2equal to y and y equal too1/2(x*2+x)

The quotient of negative nineteen and the cube of x.

((0.25)^5)=(4^(5x-3/3))(0.125)^6x

Discuss the continuity of the function f, defined by f(x)={x^2-1 ;x is less or equal to 1 and 1-1/x ;x is greater or equal to 1