Use Theorem 13.9 to find the directional derivative of the function at P in the direction of
Question:
Use Theorem 13.9 to find the directional derivative of the function at P in the direction of v.
ƒ(x, y) = x²y, P(-5 5), v = 3i - 4j
Data from in Theorem 13.9
Transcribed Image Text:
THEOREM 13.9 Directional Derivative If f is a differentiable function of x and y, then the directional derivative of fin the direction of the unit vector u = cos i + sin 0j is Duf(x, y) = f(x, y) cos 0 + f(x, y) sin 0.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 0% (4 reviews)
fx y xy P5 5 v 3i 4...View the full answer
Answered By
Muhammad Umair
I have done job as Embedded System Engineer for just four months but after it i have decided to open my own lab and to work on projects that i can launch my own product in market. I work on different softwares like Proteus, Mikroc to program Embedded Systems. My basic work is on Embedded Systems. I have skills in Autocad, Proteus, C++, C programming and i love to share these skills to other to enhance my knowledge too.
3.50+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Use Theorem 13.9 to find the directional derivative of the function at P in the direction of v. Data from in Theorem 13.9 THEOREM 13.9 Directional Derivative If f is a differentiable function of x...
-
Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the unit vector u = cos i+ sin j. Data from in Theorem 13.9 THEOREM 13.9 Directional Derivative If f is a...
-
Use Theorem 13.9 to find the directional derivative of the function at P in the direction of v. (x, y) = 1/4y - x, P(1, 4), v = 2i + j Data from in Theorem 13.9 THEOREM 13.9 Directional Derivative If...
-
1. By integrating Planck's codiation law over all wave hengths power radiated per square meter of a is given by: R(T) = (55) T" proof that the cavity's surface note: x= he AKT 2 xdx 3 % ex-1
-
In your own words, define materiality and identify the fundamental qualitative characteristic that it is related to.
-
Consider a circle with circumference 1. An arrow (or spinner) is attached at the center so that, when flicked, it spins freely. Upon stopping, it points to a particular point on the circumference of...
-
The dimensions of the rectangular loop of wire in Figure P29.35 are \(\ell=400 \mathrm{~mm}\) and \(w=120 \mathrm{~mm}\). The mass of the loop is \(10 \mathrm{~g}\), its resistance is \(5.0...
-
Milan Co., a womens clothing store, purchased $120,000 of merchandise from a supplier on account, terms FOB destination, 2/10, n/30. Milan Co. returned $16,000 of the merchandise, receiving a credit...
-
Other than the wind speed, what factor has the most impact on the amount of power generated by a wind turbine? Swept area of rotor Turbine style Terrain Blade material.
-
A semicircle is on top of a rectangle (see figure). When the area is fixed and the perimeter is a minimum, or when the perimeter is fixed and the area is a maximum, use Lagrange multipliers to verify...
-
Find w/r and w/t (a) By using the appropriate Chain Rule and (b) By converting w to a function of r and t before differentiating. w = x + y + z, x = r cost, y = r sint, z = t
-
The impulse response of a LTI is h(t) = e 2t u(t). Use MATLAB functions to approximate the convolution integral when the inputs of the system are x 1 (t) = cos(2 t) [u(t) u(t 20)], x 2 (t) = sin(...
-
To increase customer retention, your company prepares to launch an improvement project. One of the objectives is to improve the internal processes of the customer service department. In this regard,...
-
A. Consider the equipment listed below and determine if it will be needed for moving materials on a construction site. Provide a brief reason why or why not it is needed? 1) Backhoe 2) Bulldozer 3)...
-
You have recently contacted a company called Antrax Hardware. They have put you in touch with the general sales manager. During your interview with her, she tells you of a problem she is facing, "Our...
-
Please work a comparison of the following labour laws descriptions: Age Discrimination in Employment Act. Civil Rights Act. Americans with Disabilities Act.
-
Are marketers overestimating the powers of branding? Do you believe brands have the powers ascribed to them in this chapter (e.g., as experience provider or as a lovemark)? Can brands create social...
-
Recall the survival lottery described in Question 2.2.14. What is the probability
-
Selected condensed data taken from a recent statement of financial position of Morino Ltd. are as follows. MORINO LTD. Statement of Financial Position (partial) Other current assets...
-
Evaluate
-
Evaluate cos (ln x) dx two different ways: a. Use tables after first using the substitution u = ln x. b. Use integration by parts twice to verify your answer to part (a).
-
Consider a pendulum of length L meters swinging only under the influence of gravity. Suppose the pendulum starts swinging with an initial displacement of 0 radians (see figure). The period (time to...
-
Assume an appraiser concludes that, based on data and information able to be collected, house prices in a comparable property's neighborhood have increased 15 percent over the last 12 months. If the...
-
Dexter Mills issued 20-year bonds one year ago at a coupon rate of 10.2 percent. The bonds make semiannual payments and have a par value of $1,000. If the YTM is 8.2 percent, what is the current bond...
-
Calculate the Net Revenue from 2 0 1 7 to 2 0 2 4 . The net revenue is in USD billions. Calculate the net revenue growth that has occurred from 2 0 1 7 to 2 0 2 4 ( over the span of approx. 7 years )...
Study smarter with the SolutionInn App