Answered: (a) Sketch the graph of the function,… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section: Chapter Questions

Problem 22RE

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I was able to get a and b correct but I can not get c

(a) Sketch the graph of the function, highlighting the part indicated by the given interval.
O
++
++
4
x + 1
2
2
x
3
dx
2-
1-
-1-
-2-
(b) Write a definite integral that represents the arc length of the curve over the indicated interval and observe that the integral cannot be evaluated with the techniques studied so far.
5
2
6
(c) Use the integration capabilities of a graphing utility to approximate the arc length. (Round your answer to three decimal places.)

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In the given question/s, (a) sketch the graph of the function, highlighting the part indicated by the given interval, (b) write a definite integral that represents the arc length of the curve over the indicated interval and observe that the integral cannot be evaluated with the techniques studied so far, and (c) use the integration capabilities of a graphing utility to approximate the arc length. y = x2 + x - 2, [-2, 1]
In the given question/s, (a) sketch the graph of the function, highlighting the part indicated by the given interval, (b) write a definite integral that represents the arc length of the curve over the indicated interval and observe that the integral cannot be evaluated with the techniques studied so far, and (c) use the integration capabilities of a graphing utility to approximate the arc length. x = e-y , 0 ≤ y ≤ 2
Sketch the graph of the function y = sin x , highlighting the part indicated by the interval [0, ] , (a) write a definite integral that represents the arc length of the curve over the indicated interval and observe that the integral cannot be evaluated with the techniques studied so far, and (b) use the integration capabilities of a graphing utility to approximate the arc length.
Sketch the graph of the function y = x2 + x − 2, highlighting the part indicated by the interval [−2, 1], (a) write a definite integral that represents the arc length of the curve over the indicated interval and observe that the integral cannot be evaluated with the techniques studied so far, and (b) use the integration capabilities of a graphing utility to approximate the arc length.
Sketch the graph of the function y = 4 − x2, highlighting the part indicated by the interval [0, 2], (a) write a definite integral that represents the arc length of the curve over the indicated interval and observe that the integral cannot be evaluated with the techniques studied so far, and (b) use the integration capabilities of a graphing utility to approximate the arc length.
Sketch the graph of the function x = e−y , highlighting the part indicated by the interval 0 ≤ y ≤ 2, (a) write a definite integral that represents the arc length of the curve over the indicated interval and observe that the integral cannot be evaluated with the techniques studied so far, and (b) use the integration capabilities of a graphing utility to approximate the arc length.
Consider the following. x = square root of 25-^2, 0 ≤ y ≤ 3 (b) Find a definite integral that represents the arc length of the curve over the indicated interval and observe that the integral cannot be evaluated with the techniques studied so far.(c) Use the integration capabilities of a graphing utility to approximate the arc length. (Round your answer to three decimal places.)
Sketch the graph of the function y = 1/(x + 1), highlighting the part indicated by the interval [0, 1], (a) write a definite integral that represents the arc length of the curve over the indicated interval and observe that the integral cannot be evaluated with the techniques studied so far, and (b) use the integration capabilities of a graphing utility to approximate the arc length.
In the given question/s, (a) sketch the graph of the function, highlighting the part indicated by the given interval, (b) write a definite integral that represents the arc length of the curve over the indicated interval and observe that the integral cannot be evaluated with the techniques studied so far, and (c) use the integration capabilities of a graphing utility to approximate the arc length. y = ln x, [1, 5]
Sketch the graph of the function y = ln x, highlighting the part indicated by the interval [1, 5], (a) write a definite integral that represents the arc length of the curve over the indicated interval and observe that the integral cannot be evaluated with the techniques studied so far, and (b) use the integration capabilities of a graphing utility to approximate the arc length.
2) Find the arc length of the graph of the function over the indicated interval.
The figure shows the graphs of the functions y1 = x, y2 = (1/2)x3/2 , y3 = (1/4)x2 , and y4 = (1/8)x5/2 on the interval [0, 4]. To print an enlarged copy of the graph, (a) Label the functions. (b) Without calculating, list the functions in order of increasing arc length. (c) Verify your answer in part (b) by using the integration capabilities of a graphing utility to approximate each arc length accurate to three decimal places.

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