Let f(x, y) = 3x 2 + e 3y . (a) Find the total differential of f.

Fantastic news! We've Found the answer you've been seeking!

Question:

Let f(x, y) = √3x² + e^3y.

(a) Find the total differential of f.

(b) Find the directional derivative of f at the point (1,1) in the direction of v = i + j.

Related Book For answer-question

Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

See More Books

Posted Date: Jul 02, 2021 01:30 PM

See More Questions

Establish the identity and then use it to derive Lagrange's trigonometric identity: 1-2n+1 1 + cos + cos 2 + . . . + cos,18 =-+ (0
Evaluate the discriminant for the equation. Then use it to determine the number of distinct solutions, and tell whether they are rational, irrational, or nonreal complex numbers. (Do not solve the...
Evaluate the discriminant for the equation. Then use it to determine the number of distinct solutions, and tell whether they are rational, irrational, or nonreal complex numbers. (Do not solve the...
Problem 3: Dorado and Maya are the children of Jess and Sabel. In November 2000 Sabel died intestate leaving P2,000,000 estate before P1,000,000 deductions and P15,000 estate tax. How would the...
Let X have the uniform distribution on the interval [a, b], and let c > 0. Prove that cX + d has the uniform distribution on the interval [ca + d, cb + d].
What would be the approximate value of the coefficient of correlation between advertising and sales where a company advertises aggressively as an alternative to temporary worker layoffs and cuts off...
When an $800 \mathrm{~kg}$ compact car accelerates from rest to $27 \mathrm{~m} / \mathrm{s}$, it consumes $0.0606 \mathrm{~L}$ of gasoline, and $1.0 \mathrm{~L}$ of gasoline contains...
Joe, a resident of New Jersey, wants to open a restaurant. He asks Kay, his friend, an experienced attorney and a New Yorker, for her business and legal advice in exchange for a 20 percent ownership...
Give two DIFFERENT examples of numbers that ARE in the domain of the function below. If no such numbers exist, write DNE. f(s) 9.1s+12 = and Now give two examples of numbers that are NOT in the...
The Advanced Tech Company has a project to design an integrated information database for a major bank. Data for the project are given in Table. Indirect project costs amount to $300 per day. The...
Office If you've already bought it. Mudeford Ferry Bistro is part of a chain of restaurants on the South Coast. The owners appointed a new manager, Roberto, for the financial year ended 31/12/2020...
Alanzo submits an application for a $300,000 whole life insurance policy with the help of his agent and also applies for coverage under a temporary insurance agreement (TIA). His health status is...
The risk in bond funds is related to changes in: Multiple choice question. real estate prices interest rates stock market prices
An employee who uses their own vehicle for employment purposes cannot deduct any financing costs related to the purchase of the car An employee who is provided with a vehicle owned by the employer...
For construction, SME's may also use parametric cost estimates, which are similar to analogous estimates, but utilize scalable cost parameters based on experience in projects in a given industry, for...
is it true that " the zero-coupon yield is an equally weight-ed average of forward rates." and the forward rates is an equally weighted average of zero-coupon yield "
How has GPS Tracking Equipment changed in recent years (in the past 5 to 10 years) in regards to the food truck business? Provide at least two sources that overview the change. Include screen...
What is the difference between adsorption and absorption?
(a) Show that a differential equation of the form a(x) u"+b(x) u' = /(x) is in self-adjoint form (11.12) if and only if b(x) = a'(x). (b) If b(x) a'(x) and a(x) 0 everywhere, show that you can...
Find the matrix form of the linear transformation with respect to the following bases of R2: (x, y) = (-2-43y) L(x, y) = (-2x + 3y 21 0 (3) (2 o (3)(8)
Define the shift map S: Cn Cn by S(v1, v2, ..., vn-1, vn)T = (v2, v3, ..., vn, v1)T. (a) Prove that S is a linear map, and write down its matrix representation A. (b) Prove that A is an orthogonal...
Suppose that cigarette sales in the United States between 1910 and 2010 are described by the equation S = 800 + 164t 1.4t 2 , where S is per capita sales and t = 0 in 1910, t = 1 in 1911, and so on....
Suppose that cigarette sales in the United States between 1910 and 2010 are described by the equation S = 130 + 18t 0.12t 2 , where S is total sales (in billions) and t = 0 in 1910, t = 1 in 1911,...
Suppose consumption C is related to income Y by the equation C = 10 + 0.9Y 0.02Y 2 . a. Where does this equation intersect the vertical axis? b. What is the slope of the line at Y = 0? c. Does the...

Let f(x, y) = 3x 2 + e 3y . (a) Find the total differential of f.

Question:

Expert Answer:

Applied Linear Algebra

Students also viewed these accounting questions