Explanation Given information: f ( x ) = x 3 . Calculations: The slope of the secant line over ( − 3 , x ) is given by the formula f ( − 3 ) − f ( x ) − 3 − x . Putting the values in the equation, f ( − 3 ) − f ( x ) − 3 − x ⇒ − 3 3 − x 3 − 3 − x ⇒ ( − 3 − x ) ( 9 − 3 x + x 2 ) − 3 − x since, ( a 3 − b 3 <

4th Edition

ISBN: 9781319323394

Author: Rogawski

Publisher: MAC HIGHER

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Question

Chapter 2.1, Problem 29E

To determine

The slope of the secant line at the indicate point and using the result also estimate the slope of tangent line.

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Chapter 2.1, Problem 28E

Chapter 2.1, Problem 30E

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Fill in the blanks to write the calculus problem that would result in the following integral (do not evaluate the interval). Draw a graph representing the problem. π/2 So/² 2xcosx dx Find the volume of the solid obtained when the region under the curve 38,189 on the interval is rotated about the axis.

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For the given function, find (a) the equation of the secant line through the points where x has the given values and (b) the equation of the tangent line when x has the first value. y= f(x) = x²+x; x=-1,x=2 a. Which of the following formulas can be used to find the slope of the secant line? ○ A. 2-(-1) f(2) f(-1) 2+(-1) C. 1(2)+(-1) The equation of the secant line is 1(2)+(-1) О в. 2+(-1) f(2)-(-1) D. 2-(-1)

Chapter 2 Solutions

CALCULUS W/SAPLING ACCESS >IC<

Ch. 2.1 - Prob. 1PQ Ch. 2.1 - Prob. 2PQ Ch. 2.1 - Prob. 3PQ Ch. 2.1 - Prob. 4PQ Ch. 2.1 - Prob. 1E Ch. 2.1 - Prob. 2E Ch. 2.1 - Prob. 3E Ch. 2.1 - Prob. 4E Ch. 2.1 - Prob. 5E Ch. 2.1 - Prob. 6E

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The slope of the secant line at the indicate point and using the result also estimate the slope of tangent line.

Solution Summary: The author calculates the slope of the secant line over (-3,x) and tangent line by putting the values in the equation.

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The slope of the secant line at the indicate point and using the result also estimate the slope of tangent line.

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Chapter 2 Solutions