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)=

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

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 2 -z)/ y4 , x = t3+7, y = cos(2t), z =...
Let w = (x 2 -z)/ y4 , x = t3+7, y = cos(2t), z = 4t. Use the Chain Rule to express dw/ dt in terms of t. Then evaluate dw/ dt at t = π/ 2
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=
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