Let (x, y) = e xy and r(t) = (t 3 , 1 + t). (a) Calculate
Question:
Let ƒ(x, y) = exy and r(t) = (t3, 1 + t).
(a) Calculate ∇ƒ and r'(t).
(b) Use the Chain Rule for Paths to calculate d/dt ƒ(r(t)).
(c) Write out the composite ƒ(r(t)) as a function of t and differentiate. Check that the result agrees with part (b).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 75% (4 reviews)
a We first find the partial derivatives of fx y exy af x The grad...View the full answer
Answered By
Asim farooq
I have done MS finance and expertise in the field of Accounting, finance, cost accounting, security analysis and portfolio management and management, MS office is at my fingertips, I want my client to take advantage of my practical knowledge. I have been mentoring my client on a freelancer website from last two years, Currently I am working in Telecom company as a financial analyst and before that working as an accountant with Pepsi for one year. I also join a nonprofit organization as a finance assistant to my job duties are making payment to client after tax calculation, I have started my professional career from teaching I was teaching to a master's level student for two years in the evening.
My Expert Service
Financial accounting, Financial management, Cost accounting, Human resource management, Business communication and report writing. Financial accounting : • Journal entries • Financial statements including balance sheet, Profit & Loss account, Cash flow statement • Adjustment entries • Ratio analysis • Accounting concepts • Single entry accounting • Double entry accounting • Bills of exchange • Bank reconciliation statements Cost accounting : • Budgeting • Job order costing • Process costing • Cost of goods sold Financial management : • Capital budgeting • Net Present Value (NPV) • Internal Rate of Return (IRR) • Payback period • Discounted cash flows • Financial analysis • Capital assets pricing model • Simple interest, Compound interest & annuities
4.40+
65+ Reviews
86+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Complete the function compute using pthreads v1() to parallelize the SAXPY loop using the "chunking" method. That is, given vectors x and y of some arbitrary length n, and when k threads are used,...
-
If a hydrate of BeSO4 is heated to 250 C, all the water of hydration is lost. On heating a 1.687 g sample of the hydrate, 1.001 g of BeSO4 remains. How many molecules of water occur per formula unit...
-
Let (x, y) = xy 2 and r(t) = (1/2t 2 , t 3 ). (a) Calculate Vf and r' (t). d (b) Use the Chain Rule for Paths to evaluate f(r(t)) at t = 1 and t = - 1.
-
A hollow-fiber membrane device is operated to concentrate a bacterial suspension. The flow rate of cell suspension into the fibers is 350 kg/min. The inlet cell suspension is comprised of 1.0 wt%...
-
Water is used to extract acetone from a 30 wt% acetone?70% MIBK mixture flowing at a rate of 200 kg/h. Two equilibrium stages at 25C are used as shown in the following diagram. If 300 kg H 2 O/h is...
-
Donna is retiring and wants you to explain her alternatives for receiving payments from her qualified retirement plan.
-
How is technology being used by firms to promote their products and how does this influence sales activities?
-
Because Natalie has had such a successful first few months, she is considering other opportunities to develop her business. One opportunity is the sale of fine European mixers. The owner of Kzinski...
-
Assume that Stillwater Designs produces two automotive subwoofers: S12L7 and S12L5. The S12L7 sells for $475, and the S12L5 sells for $300. Projected sales (number of speakers) for the coming five...
-
Figure 14 shows the level curves of a function (x, y) and a path r(t), traversed in the direction indicated. State whether the derivative d /dt (r(t)) is positive, negative, or zero at points AD. 0 +...
-
Let (x, y) be a continuous function on a domain D in R 2 . Determine which of the following statements are true: (a) If D is closed and bounded, then f takes on a maximum value on D. (b) If D is...
-
How does the Prebisch-Singer hypothesis challenge the comparative advantage model of trade?
-
Find a recent copy of your resume. Does it demonstrate the professional development steps you've taken? If so, where? If not, what can you add, and where would you add this information?
-
Write a program that prompts a user to enter the name of a file and a word. The program should then count all occurrences of the word in the file and display the number of occurrences. Use a utility...
-
A company has the following results for the year to 31 March 2018: Trading profits, after capital allowances Bank deposit interest (account opened 1 April 2017): Received 30 June 2017 Received 31...
-
Develop a program to store names in a one-dimensional array. The program should initially create a one-dimensional array which holds ten String values. As the user enters names one by one, each name...
-
How are first, second and percentage differences used to determine a model?
-
Assume that Clark Enterprises uses the following headings on its balance sheet. (a) Current assets. (b) Investments. (c) Property, plant, and equipment. (d) Intangible assets . (e) Other assets. (f)...
-
X-1 Find the domain of the function f(x) : x 1 2 - O (-00, -1) U (-1, ) O (-00, 1) U (1, ) O -00, -1) U (-1, 1) U (1, 0) O (- 1, 1)
-
Identify and graph the polar equation. r = 2sin(3 )
-
Identify and graph the polar equation. r = 4sin(5 )
-
Identify and graph the polar equation. r = 3cos(4 )
-
What does indexing within a database mean in layman's terms? How do you index within a database? What are the advantages of indexing within a database? What are the disadvantages of indexing within a...
-
Public administrators conduct research to plan, solve problems, and support their decisions. They must collect data to support these tasks and other courses of action. Unfortunately, the literature...
-
Maui Fabricators Inc. is considering an investment in equipment that will replace direct labor. The equipment has a cost of $131,000 with a $11,000 residual value and a 10-year life. The equipment...
Study smarter with the SolutionInn App