Question

Please write down the details of reasons for your solutions. Thanks. Questions 2 a) Let f(x,y)...

Please write down the details of reasons for your solutions. Thanks.

Questions 2

a) Let f(x,y) = sin (y^2 + e^(2x)). Find f(xy) and f(yx) and verify their equality.

b) Find the equation of the tangent plane to the surface z=e^(2x)*cos(3y) at P (0, pi/3, -1)

c) Find the direction in which the function f(x,y) = ((x-2y)/(2x+y))^(1/3) increases most rapidly at (1,0).

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 f(x, y) = sqrt( x^2 − y − 4) ln(xy). • Plot the domain of...
Let f(x, y) = sqrt( x^2 − y − 4) ln(xy). • Plot the domain of f(x, y) on the xy-plane. • Find the equation for the tangent plane to the surface at the point (4, 1/4 , 0). Give full explanation of your work
Let f(x, y) = x tan(xy^2) + ln(2y). Find the equation of the tangent plane at...
Let f(x, y) = x tan(xy^2) + ln(2y). Find the equation of the tangent plane at (π, 1⁄2).
z= f(x,y) = xy-2x-3y+6 has one critical point (x,y,z). Please find it 2) f(xx)= 3) f(xy)=
z= f(x,y) = xy-2x-3y+6 has one critical point (x,y,z). Please find it 2) f(xx)= 3) f(xy)=
Let f(x,y) = xe^sin(x^2y+xy^2) /(x^2 + x^2y^2 + y^4)^3 . Compute ∂f ∂x (√2,0) pointwise.
Let f(x,y) = xe^sin(x^2y+xy^2) /(x^2 + x^2y^2 + y^4)^3 . Compute ∂f ∂x (√2,0) pointwise.
An implicitly defined function of x, y and z is given along with a point P...
An implicitly defined function of x, y and z is given along with a point P that lies on the surface: sin(xy) + cos(yz) = 0, at P = (2, π/12, 4) Use the gradient ∇F to: (a) find the equation of the normal line to the surface at P. (b) find the equation of the plane tangent to the surface at P.
3. Find the equation of the tangent line to the curve 2x^3 + y^2 = xy...
3. Find the equation of the tangent line to the curve 2x^3 + y^2 = xy at the point (−1, 1). 4. Use implicit differentiation to find y' for sin(xy^2 ) − x^3 = 4x + 2y. 5. Use logarithmic differentiation to find y' for y = e^4x cos(2x) / (x−1)^4 . 6. Show that d/dx (tan (x)) = sec^2 (x) using only your knowledge of the derivatives of sine/cosine with derivative rules. 7. Use implicit differentiation to show that...
Given the level surface S defined by f(x, y, z) = x − y3 − 2z2...
Given the level surface S defined by f(x, y, z) = x − y3 − 2z2 = 2 and the point P0(−4, −2, 1). Find the equation of the tangent plane to the surface S at the point P0. Find the derivative of f at P0in the direction of r(t) =< 3, 6, −2 > Find the direction and the value of the maximum rate of change greatest increase of f at P0; (d) Find the parametric equations of the...
1. a) For the surface f(x, y, z) = xy + yz + xz = 3,...
1. a) For the surface f(x, y, z) = xy + yz + xz = 3, find the equation of the tangent plane at (1, 1, 1). b) For the surface f(x, y, z) = xy + yz + xz = 3, find the equation of the normal line to the surface at (1, 1, 1).
Let f(x,y)=2ex+y. Find the second-order Taylor polynomial for f(x,y) at the point (0,0). Group of answer...
Let f(x,y)=2ex+y. Find the second-order Taylor polynomial for f(x,y) at the point (0,0). Group of answer choices 2+x+y+12x2+12y2 2x+2y+x2+y2 2+2x+2y+x2+2xy+y2 2−2x−2y+x2−xy+y2 None of the above.
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...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT