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In Problems 21–26, use the description of the region R to evaluate the indicated
22.
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Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
- 5. Find the area of the region bounded by y = x and y = x² - 2x y=x & y=x²-2xarrow_forward29. Find the area of the region bounded by y =. = x2 + 3x + 1 and y = 6x - 1. [4.4]|arrow_forwardWhat is the area (in square units) of the region bounded by the graphs of y=x2+2, and the x axis from x=-1 and x=2? ... ly = x² + 2 -1 2 13 (A) 3 25 В c) 6 D 9 B.arrow_forward
- 3. Let R be the region below bounded by the parabola y = 4 - x² and the lines 3x - 2y + 3 = 0 and y 0. (0,4) (a) Set up a (sum of) definite integral(s) with respect to x that is equal to the area of R. (1,3) R (-2,0) (-1,0)arrow_forward1. Find the area of the region bounded by y = 4 – x², y = x + 2, x = -2, and x = 1. | 2. Find the area of the region bounded y = x'/4 and y = x².arrow_forward3. For the enclosed regions bounded by y = x³ – 6x and y = -2x in the graph, what is the integral that describes the enclosed regions? A. S, (x3- 6x) dx B. S, (x3 - 6x - 2x) dx C. L, (x3 - 6x) dx + -2x dx D. , (x3- 4x) dx + (-x3 + 4x) dx -2 В. -2 2 2 What is the area of the enclosed regions in problem number 3? A. 10 sq. units B. 12 sq. units C. 8 sq. units D. 4 sq. unitsarrow_forward
- 5. Find the area of the region bounded by f(x) = -x² – 2x + 3, x-axis, and interval [0, 2].arrow_forwardLet R be the shaded region bounded by the parabola y = 4 - x², and the lines y = 1-2x and y = -1, as shown in the given figure. (0,4) Set up the (sum of) definite integral(s) equal to the following quantities. (-1,3 Do not evaluate. 1. Area of Rusing vertical rectangles (-V5,-1)/ (1,-1) 2. Volume of solid obtained by rotating R about x = -V5 using washer method 3. Arc length of the portion of the parabola y = 4 - x² in the first quadrant that is bounded by the coordinate axesarrow_forward12) Find the area of the region bounded by the curves y =x² - 4x +3 and y=-x²+2x+3.arrow_forward
- 5. Determine the area of the region bounded by y = xVx2 + 1, y = 1 e 2x, x = -3 and the y-axis.arrow_forward1) Find the area of the surface generated by rotating the function y=x^3 about the x-axis over 0≤x≤3 2) Find the area of the surface generated by rotating the function g(y) = (9-y^2) ^1/2 about the y-axis over 0≤y≤2.arrow_forward1. Find the total area bounded by the curves y=x²-3x and y = x³ + x² - 12x.arrow_forward
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,