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MTH 306 Lecture 13: Lecture13

United States

Introduction to Differential Equations

Mathematics

Javor Jim

University at Buffalo

Introduction to Ancient Archaeology

Engineering Impact On Society

Statics

Dynamics

Mechanics of Solids

Electrical Engineering Concepts/Non-Majors

Thermodynamics I

Machines and Mechanisms I

Analysis of Structures

Mechanical and Aerospace Engineering Lab I

Fluid Mechanics

Heat Transfer

Intermediate Dynamics

Applied Mathematics for MAE

Engineering Materials

Aerodynamics

Introductory Linear Algebra

General Physics I

General Physics II

General Physics II Lab

<div style="font-family:'Helvetica Neue', Helvetica, Arial;color:#333333;">Let F(x,y,z)=&lt;ze^x+1,cosy,e^x&gt; <div> <br> <picture><source srcset="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/73/7308416.jpeg" type="image/webp"></source><img src="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/73/7308416.jpeg" alt=""></picture> </div> </div> <div id="dvc" class="hidden">1. Let F(x, y, z)-. (a) Argue that F is conservative. (b) Find a function f such that F-v/. (c) Find Ï (ze* + 1) dr + cos y dy + ez dz where S1 is the unit circle in the zy-plane. Si (d) Find F-dr where C is parametrized by r(t) =, 0 t T. </div>

How to sketch a graph of a continuous function f with all of thefollowing properties: (i) f(0) =2<br>(ii) f(x) is decreasing for 0&lt;x&lt;3<br>(iii) f(x) is increasing for 3&lt;x&lt;5<br>(iv) f(x) is decreasing for x&gt;5<br>(v) f(x) ---&gt;9 as x -&gt;

<p>9. Determine the value of the number k that makes the function f(x) below continuous:
f(x) = {1- kr if x < 1;
f(x) =
(1 - kr if x <1,
k+ if r> 1.
(A) O
(D) 1/2
(B) 1 (C) -3/4
(E) 15/17

</p>

MTH 306 Lecture 13: Lecture13

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