EBK CALCULUS: EARLY TRANSCENDENTAL FUNC
EBK CALCULUS: EARLY TRANSCENDENTAL FUNC
6th Edition
ISBN: 8220100475559
Author: Edwards
Publisher: YUZU
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Chapter 7.1, Problem 42E

Finding the Area of a Region In Exercises 37-42, sketch the region bounded by the graphs of the equations and find the area of the region.

f ( x ) = 2 t , g ( x ) = 1 3 x

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Area Function a) Find the formula for the area function, A(x), represented by the integral. b) Use that formula to find both A(t) and A(2t). c) Graph f(t) = sin (;t) and shade the area for the interval [0, 27]. d) Graph A(x) on the same graph and plot the point (2r, A(2n)). e) What is the relationship between parts (c) and (d)? sin dt
جامعة التقنية والعلومر التطبيقية بالمصنعة University of Technology and Applied Sciences - Al Mussanah P Flag question The area of the region between the curve y = x? – 6x +8 and the x-axis & x= 0; x = 3 is given by 2 |(x - 6x+8)dx +| (x - 6x+8)dx а. 2 b. [(x – 6x +8)dr 3 [(x² – 6x +8)dy с. 3 d. [(x - 6x +8)dy + |(x² – 6x + 8)đdy
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