Question

Let w=−2xy+3yz+4xz,x=st,y=est,z=t2 Compute ∂w/∂s(3,−2)= ∂w/∂t(3,−2)=

Let

w=−2xy+3yz+4xz,x=st,y=est,z=t2

Compute
∂w/∂s(3,−2)=

∂w/∂t(3,−2)=

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
Consider the function w = x^(2) + y^(2) + z^(2) with x = tsin(s), y =...
Consider the function w = x^(2) + y^(2) + z^(2) with x = tsin(s), y = tcos(s), and z = st^(2) (a) Find ∂w/∂s and ∂w/∂t by using the appropriate Chain Rule. (b) Find ∂w/∂s and ∂w/∂t by first substituting and writing w as a function of s and t before differentiating.
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...
1. Let W be the set of all [x y z}^t in R^3 such that xyz...
1. Let W be the set of all [x y z}^t in R^3 such that xyz = 0. Is W a subspace of R^3? 2. Let C^0 (R) denote the space of all continuous real-valued functions f(x) of x in R. Let W be the set of all continuous functions f(x) such that f(1) = 0. Is W a subspace of C^0(R)?
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
Let s = f(x; y; z) and x = x(u; v; w); y = y(u; v;...
Let s = f(x; y; z) and x = x(u; v; w); y = y(u; v; w); z = z(u; v; w). To calculate ∂s ∂u (u = 1, v = 2, w = 3), which of the following pieces of information do you not need? I. f(1, 2, 3) = 5 II. f(7, 8, 9) = 6 III. x(1, 2, 3) = 7 IV. y(1, 2, 3) = 8 V. z(1, 2, 3) = 9 VI. fx(1, 2, 3)...
2. Let Q1 = y(2), Q2 = y(3), where y = y(x) solves y' + 2xy...
2. Let Q1 = y(2), Q2 = y(3), where y = y(x) solves y' + 2xy = 2x^3 , y(0) = 1. Let Q = ln(3 + |Q1| + 2|Q2|). Then T = 5 sin^2 (100Q) satisfies:— (A) 0 ≤ T < 1. — (B) 1 ≤ T < 2. — (C) 2 ≤ T < 3. — (D) 3 ≤ T < 4. — (E) 4 ≤ T ≤ 5.
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...
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=
Find an equation of the normal plane to x = t, y = t2 , z...
Find an equation of the normal plane to x = t, y = t2 , z = t3 at the point (2, 4, 8)
a. Let →u = (x, y, z) ∈ R^3 and define T : R^3 → R^3...
a. Let →u = (x, y, z) ∈ R^3 and define T : R^3 → R^3 as T( →u ) = T(x, y, z) = (x + y, 2z − y, x − z) Find the standard matrix for T and decide whether the map T is invertible. If yes then find the inverse transformation, if no, then explain why. b. Let (x, y, z) ∈ R^3 be given T : R^3 → R^2 by T(x, y, z) = (x...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT