Question

Let z=f(a,b,c) where a=g(s,t), b=h(l(s+t),t), c=tsin(s). f,g,h,l are all differentiable functions. Compute the partial derivatives of...

Let z=f(a,b,c) where a=g(s,t), b=h(l(s+t),t), c=tsin(s). f,g,h,l are all differentiable functions. Compute the partial derivatives of z with respect to s and the partial of z with respect to t.

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
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...
Suppose that  f   is a twice differentiable function and that its second partial derivatives are continuous....
Suppose that  f   is a twice differentiable function and that its second partial derivatives are continuous. Let  h(t) = f (x(t), y(t))  where  x = 2e^ t  and  y = 2t. Suppose that  fx(2, 0) = 1,  fy(2, 0) = 3,  fxx(2, 0) = 4,  fyy(2, 0) = 1,  and  fxy(2, 0) = 4. Find   d ^2h/ dt ^2  when t = 0.
Suppose that  f   is a twice differentiable function and that its second partial derivatives are continuous....
Suppose that  f   is a twice differentiable function and that its second partial derivatives are continuous. Let  h(t) = f (x(t), y(t))  where  x = 3e ^t  and  y = 2t. Suppose that  fx(3, 0) = 2,  fy(3, 0) = 1,  fxx(3, 0) = 3,  fyy(3, 0) = 2,  and  fxy(3, 0) = 1. Find   d 2h dt 2  when t = 0.
Assume that all the given functions have continuous second-order partial derivatives. If z = f(x, y),...
Assume that all the given functions have continuous second-order partial derivatives. If z = f(x, y), where x = r2 + s2 and y = 6rs, find ∂2z/∂r∂s. (Compare with Example 7.) ∂2z/∂r∂s = ∂2z/∂x2 + ∂2z/∂y2 + ∂2z/∂x∂y + ∂z/∂y
2. (a) Determine all first and second order partial derivatives of f(x,y,z) = x2y3 sin(xz) (b)...
2. (a) Determine all first and second order partial derivatives of f(x,y,z) = x2y3 sin(xz) (b) Determine all first-order partial derivatives of g(x,y,z)=u2y+x2v where u=exz, v=sin(yz)
Let S = {a,b,c,d,e,f,g} and let T = {1,2,3,4,5,6,7,8}. a.  How many different functions are there from...
Let S = {a,b,c,d,e,f,g} and let T = {1,2,3,4,5,6,7,8}. a.  How many different functions are there from S to T? b. How many different one-to-one functions are there from S to T? c. How many different one-to-one functions are there from T to S? d. How many different onto functions are there from T to S?
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
Let f(z) and g(z) be entire functions, with |f(z) - g(z)| < M for some positive...
Let f(z) and g(z) be entire functions, with |f(z) - g(z)| < M for some positive real number M and all z in C. Prove that f'(z) = g'(z) for all z in C.
Let S be the set of all functions from Z to Z, and consider the relation...
Let S be the set of all functions from Z to Z, and consider the relation on S: R = {(f,g) : f(0) + g(0) = 0}. Determine whether R is (a) reflexive; (b) symmetric; (c) transitive; (d) an equivalence relation.
1. Let A = {1,2,3,4} and let F be the set of all functions f from...
1. Let A = {1,2,3,4} and let F be the set of all functions f from A to A. Prove or disprove each of the following statements. (a)For all functions f, g, h∈F, if f◦g=f◦h then g=h. (b)For all functions f, g, h∈F, iff◦g=f◦h and f is one-to-one then g=h. (c) For all functions f, g, h ∈ F , if g ◦ f = h ◦ f then g = h. (d) For all functions f, g, h ∈...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT