Assume that x and y are both differentiable functions of t and are related by the...
Assume that x and y are functions of t, and x and y are related by the equation y= 4x+3. (a) Given that dx/dt=1, find dy/dt when x=2. (b) Given that dy/dt=4, find dx/dt when x=3.
Assume that I and y are both differentiable functions of t and are related by the equation y=cos (2x) dy Find when 11 given . -3 when = Enter the exact answer. = Number Hint Penalty Hint1 0.0 View Hint Memaining Time: 37:32:32 The volume of a sphere is increasing at a rate of 15 cubic centimeters per second. Find the rate of change of the radius when it is 5 milimeters. Round your answer to two decimal places. The...
1. -/5 POINTS LARCALC11 2.6.003. 0/2 Submissions Used Assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt. y = x (a) Find dy/dt, given x = 1 and dx/dt = 8. dy/dt = (b) Find dx/dt, given x = 64 and dy/dt = 7. dx/dt =
oft Let's X and Y are both differentiable danction Find dx when (x,y) is (4,3), and dy dt for the equation xty² =25
Assuming that the equation defines x and y implicitly as differentiable functions x =f(t), y =g(t), find the slope of the curve x =f(t), y=g(t) at the given value of t. x3 +41? = 37, 2y3 - 22 = 110, t = 3 The slope of the curve at t= 3 is (Type an integer or simplified fraction.)
5) Both x andy denote functions of t that are Irelated by the given equation. x² ty² = 2x+ly Find dy when ox 2 and de de x-3
Suppose y = √(2x + 1), where x and y are functions of t. (a) If dx/dt = 3, find dy/dt when x = 4 (b) If dy/dt = 4, find dx/dt when x = 40.
7. Assume x and y are functions of t. Evaluate dy/dt for each of the following. (a) y2 - 8x3 = -55, 5= -4,2 = 2, y = 3 (b) = 2, r = 4, y = 2 (e) cell = 2 - In 2 + In 2, 6,2 = 2, y = 0
15. Suppose y= V5x+1 where x and y are functions of t. (a) If dv/dt = 10, find dy/dt when x= 3. 6) If dyldt = 7, find dx/dt when x = 7.
Given two functions, M(x, y) and N(x,y), suppose that ON/ that an/az-amay is M-N a function of x +y. That is, let f(t) be a function such that ON _ OM dc du f(x+y) = M-N Assume that you can solve the differential equation Mdx + Ndy = 0 by multiplying by an integrating factor u that makes it exact and that it can also be written as a function of x + y, u = g(x + y) for...