   Chapter 16.1, Problem 22E

Chapter
Section
Textbook Problem

Find the gradient vector field of f.22. f(s, t) = 2 s   +   3 t

To determine

To find: The gradient vector field for equation f(s,t)=2s+3t .

Explanation

Given data:

f(s,t)=2s+3t

Formula used:

Write the expression for gradient vector field of two dimensional vector.

f(x,y)=fxi+fyj (1)

Write the required differentiation formulae as follows.

x[x]=12x

Differentiate terms with respect to s .

s2s+3t=122s+3ts(2s)=122s+3t(2)s(s)=122s+3t(2)(1)=12s+3t

Differentiate terms with respect to t .

t2s+3t=122s+3tt(3t)=122s+3t(t

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find the remaining trigonometric ratios. 34. csc=43,322

Single Variable Calculus: Early Transcendentals, Volume I

In Exercises 1728, use the logarithm identities to obtain the missing quantity.

Finite Mathematics and Applied Calculus (MindTap Course List)

In Exercises 6372, evaluate the expression. 65. 12+41612

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

In problems 1-16, solve each equation. Solve

Mathematical Applications for the Management, Life, and Social Sciences

For

Study Guide for Stewart's Multivariable Calculus, 8th

The x-coordinate of the center of mass of the region bounded by , x = 1, x = 2, y = 0 is: ln 2 1 2 ln 2

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

How is the descriptive strategy different from the other four research strategies?

Research Methods for the Behavioral Sciences (MindTap Course List) 