In complete sentences with explanations and work shown, answer the following: pctor fun Given the function h(r, y) as above, give an equation of the plane T that lies tangentto the graph of h(x, y) at the point (-3, 1). G'Consider the functionof thevector functih(x, y) = r³- x sin(2y – 2) + y²Calculate the derivative of h(x, y) at the point (-3, 1) in the direction of the vector = (-3,4).

Detailed solution is given below.

Answered: G'Consider the function of the vector…

G'Consider the function of the vector functi h(x, y) = r³ – r sin(2y – 2) + y? Calculate the derivative of h(x, y) at the point (-3, 1) in the direction of the vector = (-3,4).

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Logic and Proofs

Discrete mathematics deals with the separated values of data such as integers. It is widely used in the practical field of computer science and mathematics. By knowing discrete mathematics one can improve their reasoning and problem-solving capabilities. Discrete mathematics became popular after the boom of computers which operate in discrete steps and store data in discrete bits. It also useful in studying computer programming, algorithms, and cryptography.

Question

In complete sentences with explanations and work shown, answer the following:

pctor fun Given the function h(r, y) as above, give an equation of the plane T that lies tangent
to the graph of h(x, y) at the point (-3, 1).

G'Consider the function
of the
vector functi
h(x, y) = r³
- x sin(2y – 2) + y²
Calculate the derivative of h(x, y) at the point (-3, 1) in the direction of the vector = (-3,4).

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