3 1 related rates homework answers

Given that x and y are functions of time, find the indicate rate of change. Find dx/dt when y = 2 and dy/dt = 1, given that x^3 = 9y^4 - 136. A particle moves along the curve below. y=sqrt {1 + x^3} As it reaches the point (2, 3), the y-coordinate is increasing at a rate of 2 rm {cm/s}.

In the following assume that x x, y y and z z are all functions of t t. Given x = 4 x = 4, y = −2 y = − 2, z = 1 z = 1, x′ =9 x ′ = 9 and y′ = −3 y ′ = − 3 determine z′ z ′ for the following equation. x(1−y)+5z3 = y2z2 +x2 −3 x ( 1 − y) + 5 z 3 = y 2 z 2 + x 2 − 3 Solution

Given x = 4 x = 4, y = −2 y = − 2, z = 1 z = 1, x′ =9 x ′ = 9 and y′ = −3 y ′ = − 3 determine z′ z ′ for the following equation. x(1−y)+5z3 = y2z2 +x2 −3 x ( 1 − y) + 5 z 3 = y 2 z 2 + x 2 − 3 Solution For a certain rectangle the length of one side is always three times the length of the other side.

��Related Rates Worksheet Calculus 1500 Related Rates page 1 1. An airplane is flying towards a radar station at a constant height of 6 km above the ground. If the distance s between the airplane and the radar station is decreasing at a rate of 400 km per hour when s 10 Ian., what is the horizontal speed of the plane? 2.