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- Consider the following. y 2 3 4 X-5 *-5 x -4 (a) Find the points of intersection of the curves. (х, у) - (smaller x-value) (х, у) - (larger x-value) (b) Form the integral that represents the area of the shaded region. dx (c) Find the area of the shaded region. (Give an exact answer. Do not round.)arrow_forwardEvaluate the integral by making an appropriate change of variables. 5(x + y) ex² - y² dA, where R is the rectangle enclosed by the lines x - y = 0, x - y = 10, x + y = 0, and R x + y = 9arrow_forwardEvaluate the integral by making an appropriate change of variables. 7(x + y) ex2 − y2 dA, where R is the rectangle enclosed by the lines x − y = 0, x − y = 8, x + y = 0, and x + y = 2arrow_forward
- Evaluate the integral by making an appropriate change of variables. 9(x + y) ex2 − y2 dA, R where R is the rectangle enclosed by the lines x − y = 0, x − y = 2, x + y = 0, and x + y = 2arrow_forwardEvaluate the integral by making an appropriate change of variables. 9(x + v) ex2 - y2 dA, where R is the rectangle enclosed by the lines x – y = 0, x - y = 3, x + y = 0, and x + y = 2arrow_forwardEvaluate the integral. dx V16-x -33 dx (Type an integer or a simplified fraction.) V 16 - x - 33 IIarrow_forward
- ASK YOU Evaluate the given integral by making an appropriate change of variables. x - 8y 7x - y dA, where R is the parallelogram enclosed by the lines x - 8y = 0, x - 8y = 9, 7x – y = 9, and 7x - y = 10 Need Help? Watch It Read It Master Itarrow_forwardEvaluate the iterated integral. 3 (5х + 3у) dx dy 3 4 (5х + Зу) dx dy %3 iarrow_forwardWrite a definite integral that represents the area of the region. (Do not evaluate the integral.) Y1 = x² – - 4x Y2 = 0 4 4x dx y2 6 y -2 -3 yl -4- 2.arrow_forward
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