Question: Find the gradient of the function at the given point. z = cos(x + y), (3, -4)

Find the gradient of the function at the given point.

z = cos(x² + y²), (3, -4)

Step by Step Solution

★★★★★

3.44 Rating (151 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

cosx y Vzx y 2x ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Calculus 10th Edition Questions!

Q:

1. (a) If a chord of the parabola y? = 4a.x is a normal at one of its ends, show that its mid-point lies on the curve y? 2(x 2a) Sa Prove that the shortest length of such a chord is 6av3. [60 marks]...

Q:

Consider the following scalar and vector functions and answerthe following question: o(x, y, z) = xy + xyz. = yzi + 4xyj + yk. F = v + _=_=ln(y)] + yk. (a) Find the gradient of the scalar field, o...

Q:

The point Q with x-coordinate (x = 2) lies on a curve with the equation y = 4 - 3x2, (a) Find the gradient of the curve at the point Q. (b) Given that the product of gradients of tangent and normal...

Q:

8. [-/0.143 Points] DETAILS LARCALC11 13.6.016. Find the gradient of the function at the given point. g(x, y) = 11xeW/*, (14, 0) Vg (14, 0) = Need Help? Read It 9. [-/0.143 Points] DETAILS LARCALC11...

Q:

13. [-/4 Points] DETAILS LARCALC11 13.5.027. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Differentiate implicitly to find the first partial derivatives of z. 3x2 + 2y2 + 522 = 4 dz ax az Need Help?...

Q:

8. [-/1 Points] DETAILS LARCALCET7 13.6.017. MY NOTES Find the gradient of the function at the given point. Z = In(x2 - y) - 7, (3, 8) X Vz(3, 8) = Need Help? Read It Watch It Submit Answer 9. [-/1...

Q:

In Exercises 1520, find the gradient of the function at the given point. Z= In(x-y)-4, (2,3) X

Q:

6. [12 Points] DETAILS LARCALCET7 13.6.035. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the gradient of the function at the given point. Function Point fIX. y, 2): VX2+y2+z2 (3,9, 3) Vf(8, 9, 3)...

Q:

Ise Theorem 13.9 to find the directional derivative of the function at P in the direction of the nit vector u = cos el + sin of. 7. [-/1 Points] DETAILS LARCALC11 13.6.030. (x, v) - sin(2x + yl. PG....

Q:

1. [-/0.333 Points] DETAILS LARCALC11 13.5.003. Find dw/dt using the appropriate Chain Rule. Function Value w=x-+ 2 t = 2 x = 3t, y = 2t dw dt Evaluate dw/dt at the given value of t. Need Help? Read...

Q:

Refer to Exercise 8 (hedge fund returns and administrator compensation). The boundaries for a 95% confidence interval estimate of the population intercept here are 6.671 and 2.271. Could we...

Q:

Electrons with de-Broglie wavelength fall on the target in an X-ray tube. The cut-off wavelength of the emitted X- rays is (A) 20 (C) 20 = 2mc h 2mc2 h (B) 2 2h mc (D) =

Q:

Starting salaries. You are planning a survey of starting salaries for recent marketing majors. In 2005, the average starting salary was reported to be $37,832.3 Assuming the standard deviation for...

Q:

Refer to Review Exercise 17. The reported cancer rate for women subjects ages 65 and older is 17 percent. Using this estimate as the true percentage of all females ages 65 and over who have been told...

Q:

Kelly has $20,000 to invest. As her financial planner, you recommend that she diversify into three investments: Treasury bills that yield 5% simple interest, Treasury bonds that yield 7% simple...

Q:

One group of customers bought 8 deluxe hamburgers, 6 orders of large fries, and 6 large colas for $26.10. A second group ordered 10 deluxe hamburgers, 6 large fries, and 8 large colas and paid...

Q:

Three painters, Beth, Bill, and Edie, working together, can paint the exterior of a home in 10 hours (hr). Bill and Edie together have painted a similar house in 15 hr. One day, all three worked on...

Q:

Sqeekers Co. issued 11-year bonds a year ago at a coupon rate of 7.7 percent. The bonds make semiannual payments and have a par value of $1,000. If the YTM on these bonds is 6 percent, what is the...

Q:

A firm issues two-year bonds with a coupon rate of 6.7%, paid semiannually. The credit spread for this firm's two-year debt is 0.8%. New two-year Treasury notes are being issued at par with a coupon...

Q:

1S. A primary purpose for establishing a code of ethical conduct within a professional organization is to: Require members of the profession to exhibit loyalty in all matters (a) (b) (c) (d)...