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.
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.
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.
Solve for y(t). dy/dt + 2x = et dx/dt-2y= 1 +t when x(0) = 1, y(0) = 2
7. Solve the following differential equations. dy 2 y= 5x, x>0. + a) dx dx 1+2x 4e', t>0 b) t dt 7. Solve the following differential equations. dy 2 y= 5x, x>0. + a) dx dx 1+2x 4e', t>0 b) t dt
dy dx 2x-1 Q1) find for the following functions a) y = b) y = x3e-* c) y = cos x + d) x3 + y2 = 1 x-3 1 tanx
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 =
Assume that x and y are both differentiable functions of t and are related by the equation 42 y= 22 +3 Find dy when 2 = 0, given dt de dt 2 when x = 0 Enter the exact answer. 11 dt
dx/dt = -2x-4y dy/dt = 0.5x draw the x(t) graph for the solution that starts at (x,y)=(1,1)
Prob.II. Differentiate the following functions, and simplify. 1. f(x) 2x-3 x+4 2. f(x) = x²(x - 2)* 3. f(x) = In (x V1 - x2) 4. f(x) = x2e-* 5. Find dy/dx = y' for the equation x2 + y2 = 25 and find y" (check H.W)
Given that x and y are functions of time, find the indicated rate of change. Find dy/ dt when x equals = 2 and dx/ dt equals = −3, given that x3+y3=35.