a. Explanation Given Information: Linda got up from her blue easy chair at 6PM and walked away from the chair and returned to the blue easy chair again at 8PM Graph: Interpretation: Since it is given that the distance s ( t ) is the distance between Linda and her easy chair at time t. The simplest case to explain the graph as said as that Linda walks away from the chair at 6PM and return back to the chair at 8PM Also in some other different cases the graph can explain that at Error! Not a valid embedded object b. To determine To Find: the velocity v ( t ) with respect to easy chair was zero using rolle’s theorem

14th Edition

ISBN: 9781464151088

Author: Associate Professor Laura Taalman, Peter Kohn

Publisher: W.H. Freeman & Company

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Concept explainers

Limits of Multivariable Functions

Multivariable calculus is an extension of single variable calculus. It involves several variables instead of just one. Assume there is an open set containing points (x0, y0), let f be a function defined in that open interval except for the points (x0, y0…

Question

Chapter 3.1, Problem 65P

To determine

To Graph: the distance graph of s(t) from 6PM to 8PM

To determine

To Find: the velocity v(t) with respect to easy chair was zero using rolle’s theorem

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Chapter 3.1, Problem 64P

Chapter 3.1, Problem 66P

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3.1 Limits 1. If lim f(x)=-6 and lim f(x)=5, then lim f(x). Explain your choice. x+3° x+3* x+3 (a) Is 5 (c) Does not exist (b) is 6 (d) is infinite

1 pts Let F and G be vector fields such that ▼ × F(0, 0, 0) = (0.76, -9.78, 3.29), G(0, 0, 0) = (−3.99, 6.15, 2.94), and G is irrotational. Then sin(5V (F × G)) at (0, 0, 0) is Question 1 -0.246 0.072 -0.934 0.478 -0.914 -0.855 0.710 0.262 .

2. Answer the following questions. (A) [50%] Given the vector field F(x, y, z) = (x²y, e", yz²), verify the differential identity Vx (VF) V(V •F) - V²F (B) [50%] Remark. You are confined to use the differential identities. Let u and v be scalar fields, and F be a vector field given by F = (Vu) x (Vv) (i) Show that F is solenoidal (or incompressible). (ii) Show that G = (uvv – vVu) is a vector potential for F.

Chapter 3 Solutions

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To Graph: the distance graph of s ( t ) from 6PM to 8PM

Solution Summary: The author explains how the distance graph of s(t) from 6PM to 8PM is a possible graph to show what Linda had been doing between 6pm and 8pm.

Concept explainers

To Graph: the distance graph of s(t) from 6PM to 8PM

To Find: the velocity v(t) with respect to easy chair was zero using rolle’s theorem

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Chapter 3 Solutions