Find Vf at the given point. f(x,y,z) = x3 + y3 – 322 + z Inx,...

Question

Question

$Find Vf at the given point. f(x,y,z) = x3 + y3 – 322 + z Inx, (1,5,5) Vf|(1,5,5) = Di+(\)j + ()k (Simplify your answers.)$

math Advanced-Math

Answer 1

Answer #1

= f (1,4, z) = (3x² + 2 ) ? + 3y2 h + (lnx-62) ř Ef (1,5,5) = ( 3 + 3) { + 3.52+ (ln(1) - 6.5) * Given frosy , 2) = x² + y² 3

Answer 2

Similar Homework Help Questions

Find Vf at the given point. f(x,y,z) = x2 + y3 – 322 + z Inx,...

Find Vf at the given point. f(x,y,z) = x2 + y3 – 322 + z Inx, (1,1,4) Vf|(1,1,4) = i+ )j + (O)k (Simplify your answers.)
Find Vf at the given point. f(x,y,z)=e*** cos z + (y + 2) sinx (Type an...

Find Vf at the given point. f(x,y,z)=e*** cos z + (y + 2) sinx (Type an exact answer, using radicals as needed.)
b) Consider the surface in R3 described by f(x,y,z) = 2x²y3 + z + ye*2 =...

b) Consider the surface in R3 described by f(x,y,z) = 2x²y3 + z + ye*2 = 9 (i) Find Vf(x,y,z). [3 marks] (ii) Verify that (2,1,0) is a point on this surface. Find the cartesian equation of the tangent plane to this surface at the point (2.1,0). [5 marks]

Let f(x, y, z)=x2-7xy +32 Find Vf. Vr= (Type your answer in terms of i, j,...

Let f(x, y, z)=x2-7xy +32 Find Vf. Vr= (Type your answer in terms of i, j, and k.) This Question: 2 pts -1/2 Find the gradient of f(x,y,z) = (2+2+2) +In (xyz) at the point (1.-2.-2). -OOO (Type simplified fractions Enter your reach of these Parmak için buraya yazın
(1 point) Find the outward flux of the vector field F = (x3, y3, z) across...

(1 point) Find the outward flux of the vector field F = (x3, y3, z) across the surface of the region that is enclosed by the circular cylinder x2 + y2 = 64 and the planes z = 0 and z = 4.
2 Suppose Vf(x, y, z) - 2xyze i ze* j + ye k. If f(0, 0,...

2 Suppose Vf(x, y, z) - 2xyze i ze* j + ye k. If f(0, 0, 0) 1, find f(2, 2, 3).

Given f : R → R4, f(x, y, z) = (x2 + y2, 2, x +...

Given f : R → R4, f(x, y, z) = (x2 + y2, 2, x + 2, y2 + x3) (Hint: f is not linear) (a) (1 point) Find the kernel of f. (b) (1 point) Find the range of f. (c) (1 point) Is f is 1-1? Is f onto? Justify your answers.
The concentration of salt in a fluid at (x,y,z) is given by F(x,y,z) = x6 + y3 + x2z2 &n...

The concentration of salt in a fluid at (x,y,z) is given by F(x,y,z) = x6 + y3 + x2z2 mg/cm3. Suppose you are at the point (−1, 1, 1). (a) In which direction should you move if you want the concentration to increase the fastest? Give your answer as a vector. (b) You start to move in the direction you found in part (a) at a speed of 7 units/sec. How fast is the concentration changing? Give an exact answer.
(1 point) Consider the vector field F(x, y, z) = (2z + 3y)i + (2z +...

(1 point) Consider the vector field F(x, y, z) = (2z + 3y)i + (2z + 3x)j + (2y + 2x)k. a) Find a function f such that F = Vf and f(0,0,0) = 0. f(x, y, z) = b) Suppose C is any curve from (0,0,0) to (1,1,1). Use part a) to compute the line integral / F. dr. (1 point) Verify that F = V and evaluate the line integral of F over the given path: F =...

(1 point) Let F(x, y, z) = 1z2xi +(x3 + tan(z))j + (1x2z – 5y2)k. Use...

(1 point) Let F(x, y, z) = 1z2xi +(x3 + tan(z))j + (1x2z – 5y2)k. Use the Divergence Theorem to evaluate SsF. dS where S is the top half of the sphere x2 + y2 + z2 = 1 oriented upwards. / F. ds = S