Hi,

I need your help with some of these AP calculus questions. Topic name: Related rates.

Solve the mentioned question and then please capture your work on paper using cam

scanner and send it as a pdf file.

Suppose that x and y are differentiable functions of t and are elated by the equation y = 3x + 5. dx a) Given that = 2, find dy dt dt when x = 1. b) Given that dy = -1, find dt dx when x = 0. dtEquation y = -2x + 1 a) Given that ax = -1, find - when x = 1. dt dt b) Given that at at dy = 2, find- when x = -1. Equation x2 + y2 = 2x + 4y dx dy Given that -=-5, find when dt dt (x , y )=(3, 1 ). dy dx Given that- =-1, find when dt dt (x , y )= (1, -3 ). The radius of a large sphere is increasing at the rate of 3 ft/hr. At what rate is the sphere's when the radius of the sphere is 10 ft ? a.) surface area changing b.) volume changingA sculptor uses a constant volume of modeling clay to form a cylinder with a large height and a relatively small radius. The clay is molded in such a way that the height of the clay increases as the radius decreases, but it retains its cylindrical shape. At time t = c, the height of the clay is 8 inches, the radius of the clay is 3 inches, and the radius of the clay is decreasing at a rate of 12 inch per minute. (a) At time t = c, at what rate is the area of the circular cross section of the clay decreasing with respect to time? Show the computations that lead to your answer. Indicate units of measure. (b) At time t = c, at what rate is the height of the clay increasing with respect to time? Show the computations that lead to your answer. Indicate units of measure. (The volume V of a cylinder with radius r and height h is given by V=Trr2h .)