Question

1. f(x, y, z) = 2x-1 − 3xyz2 + 2z/ x4 2. f(s, t) = e-bst...

1. f(x, y, z) = 2x-1 − 3xyz2 + 2z/ x4

2. f(s, t) = e-bst − a ln(s/t) {NOTE: it is -bst2 }

Find the first and second order partial derivatives for question 1 and 2.

3. Let z = 4exy − 4/y and  x = 2t3 , y = 8/t

Find dz/dt using the chain rule for question 3.

Math   Advanced-Math   
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
Use the Chain Rule to find dz/dt. (Enter your answer only in terms of t.) z=sqrt(1+x^2+y^2),...
Use the Chain Rule to find dz/dt. (Enter your answer only in terms of t.) z=sqrt(1+x^2+y^2), x=ln(t), y=cos(t) dz/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=
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)...
Let z(s,t) z(s,t) be a differentiable function of two variable s and t with continuous first...
Let z(s,t) z(s,t) be a differentiable function of two variable s and t with continuous first partial derivatives. Assume further that s=s(x,y), t=t(x,y) are differentiable functions of variables x and y . (a) find the general chain rule chain rule for (∂z/∂x)y . Your subscripts will be marked. (b) Let equations F(x,y,s,t)=y+x^2+cos(t)−sin(s)+1=0, G(x,y,s,t)=x+y^2−st−2=0, implicitly define s , and t as functions of x and y . Compute ∂s/∂x)y ∂t/∂x)y at the point P(x,y,s,t)=(1,−1,π,0). (c) Let now z(s,t)=s^2+t. By using the...
Let f(x,y,z)=xy+z^3, x=r+s−8t, y=3rt, z=s^6. Use the Chain Rule to calculate the partial derivatives. (Use symbolic...
Let f(x,y,z)=xy+z^3, x=r+s−8t, y=3rt, z=s^6. Use the Chain Rule to calculate the partial derivatives. (Use symbolic notation and fractions where needed. Express the answer in terms of independent variables
1. Let T(x, y, z) = (x + z, y − 2x, −z + 2y) and...
1. Let T(x, y, z) = (x + z, y − 2x, −z + 2y) and S(x, y, z) = (2y − z, x − z, y + 3x). Use matrices to find the composition S ◦ T. 2. Find an equation of the tangent plane to the graph of x 2 − y 2 − 3z 2 = 5 at (6, 2, 3). 3. Find the critical points of f(x, y) = (x 2 + y 2 )e −y...
Use the Chain Rule to find ∂z/∂s and ∂z/∂t. 3. z=x/y, x=se^t, y=1+se^-t 4. z=e^rcos θ,...
Use the Chain Rule to find ∂z/∂s and ∂z/∂t. 3. z=x/y, x=se^t, y=1+se^-t 4. z=e^rcos θ, r=st, θ=√s^2+t^2
elementary linear algebra Solve the system. x+y+z=1 x+y-2z=3 2x+y+z=2
elementary linear algebra Solve the system. x+y+z=1 x+y-2z=3 2x+y+z=2
show that L: x=-1+t , y=3+2t ,z=-t and the plane P : 2x-xy-2z=-3 are parallel then...
show that L: x=-1+t , y=3+2t ,z=-t and the plane P : 2x-xy-2z=-3 are parallel then find the distance btween them
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
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT