t represents the length of the curve. Then use a calculator to find the length correct to the nearest unit. Make sure to write down what you entered into the calculator. a. For the cartesian curve: y = 1

t represents the length of the curve. Then use a calculator to find the length correct to the nearest unit. Make sure to write down what you entered into the calculator. a. For the cartesian curve: y = 1

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 20T

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Question

Set up an integral that represents the length of the curve. Then use a calculator to find the length correct to the nearest unit. Make sure to write down what you entered into the calculator.

a. For the cartesian curve: y = 1+6x², 0≤x≤2

b. For the parametric curve: x=e^t-t, y=4e^t/2, 0≤t≤2.

c. For the polar curve: r=2cosθ, 0≤θ≤π

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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