A man 1.7m tall observes a bird on top of a tree at an angle of 300. if the distance between the man's head and the bird is 25m, what is the height of the t...

Find the equation of the locus of a point P(x,y) such that PV = PW, where V = (1,1) and W = (3,5)

Find the area bounded by the curve y = x(2-x). The x-axis, x = 0 and x = 2.

Find the value of x for which the function y = x3 - x has a minimum value.

Find the volume of solid generated when the area enclosed by y = 0, y = 2x, and x = 3 is rotated about the x-axis.

What is the derivative of t2 sin (3t - 5) with respect to t?

Evaluate: \( \int_{0}^{z}(\sin x-\cos x)\,dx \) Where \( z=\frac{\pi}{4}.(\pi=pi) \)

Evaluate \( \int_{-2}^{1} (x - 1)^2 \, dx \)

The shaded portion in the graph is represented by