Question

(part a) Assume that x and y are positive functions of t. If x2 + y2...

(part a) Assume that x and y are positive functions of t. If x2 + y2 = 100 and dy/dt = 4, find dx/dt when y = 6.

(part b) Suppose x, y, and z are positive functions of t. If z2 = x2 + y2, dx/dt = 2, and dy/dt = 3, find dz/dt when x = 5 and y = 12.

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
(A) Assume that x and y are functions of t. If y = x3 + 6x...
(A) Assume that x and y are functions of t. If y = x3 + 6x and dx/dt = 5, find dy/dt when x = 3. dy dt = ? (B) Assume that x and y are positive functions of t. If x2 + y2 = 100 and dy/dt = 4, find dx/dt when y = 6.
1) If z=Ln(x2+y2 ) , x=e-1 ,y=et the total derivative dz/dt will become-------------- Select one: A....
1) If z=Ln(x2+y2 ) , x=e-1 ,y=et the total derivative dz/dt will become-------------- Select one: A. dz/dt=2x/x2+ y2 . (-e-t) - 2x/(x2+ y2 ). et B. dz/dt=2x/x2+ y2 . (-e-t)+2x/(x2+ y2 ). e-t C. dz/dt=2x/x2+ y2 . (-e-t)+2x/(x2+ y2 ). et D. dz/dt=2x/x2+ y2 . (e-t)+2x/(x2+ y2 ). et 2) The second order partial derivative with respect to x of f(x,y)=cos(x)+xyexy+xsin(y) is------------- Select one: A. ∂/∂x(∂f/∂x) = 2y2exy + xy3exy B. ∂/∂x(∂f/∂x) = −cos(x) + 2y2exy + xy3exy + sin(y)...
List these six partial derivatives for z = 3 x2 y + cos (x y) –...
List these six partial derivatives for z = 3 x2 y + cos (x y) – ex+y dz/dx dz/dy d2z/dx2 d2z/ dy2 d2z/dxdy d2z/dydx                   Evaluate the partial derivative            dz        at the point (2, 3, 30) for the function z = 3 x4 – x y2 dx
Use the Chain Rule to find dw/dt. w = ln x2 + y2 + z2 ,    x...
Use the Chain Rule to find dw/dt. w = ln x2 + y2 + z2 ,    x = 9 sin(t),    y = 4 cos(t),    z = 5 tan(t) dw dt =
Let w(x,y,z) = x^2+y^2+z^2 where x=sin(8t), y=cos(8t) , z= e^t Calculate dw/dt by first finding dx/dt,...
Let w(x,y,z) = x^2+y^2+z^2 where x=sin(8t), y=cos(8t) , z= e^t Calculate dw/dt by first finding dx/dt, dy/dt, and dz/dt and using the chain rule dx/dt = dy/dt= dz/dt= now using the chain rule calculate dw/dt 0=
Calculate ∫ ∫S f(x,y,z)dS for the given surface and function. x2+y2+z2=144, 6≤z≤12; f(x,y,z)=z2(x2+y2+z2)−1.
Calculate ∫ ∫S f(x,y,z)dS for the given surface and function. x2+y2+z2=144, 6≤z≤12; f(x,y,z)=z2(x2+y2+z2)−1.
Evaluate ∫∫Sf(x,y,z)dS , where f(x,y,z)=0.4sqrt(x2+y2+z2)) and S is the hemisphere x2+y2+z2=36,z≥0
Evaluate ∫∫Sf(x,y,z)dS , where f(x,y,z)=0.4sqrt(x2+y2+z2)) and S is the hemisphere x2+y2+z2=36,z≥0
Find a parametric representation for the surface. The part of the sphere x2 + y2 +...
Find a parametric representation for the surface. The part of the sphere x2 + y2 + z2 = 16 that lies above the conez = x2 + y2 . (Enter your answer as a comma-separated list of equations. Let x, y, and z be in terms of u and/or v.) where z > x2 + y2
Suppose f(x,y,z)=x2+y2+z2f(x,y,z)=x2+y2+z2 and WW is the solid cylinder with height 55 and base radius 44 that...
Suppose f(x,y,z)=x2+y2+z2f(x,y,z)=x2+y2+z2 and WW is the solid cylinder with height 55 and base radius 44 that is centered about the z-axis with its base at z=−1z=−1. Enter θ as theta. with limits of integration A = 0 B = 2pi C = 0 D = 4 E = -1 F = 4 (b). Evaluate the integral
Assume that (X, dX) and (Y, dY ) are complete spaces, and give X × Y...
Assume that (X, dX) and (Y, dY ) are complete spaces, and give X × Y the metric d defined by d((x1, y1),(x2, y2)) = dX(x1, x2) + dY (y1, y2) Show that (X × Y, d) is complete.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT