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Evaluating an Improper Iterated
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Calculus (MindTap Course List)
- The figure shows the sales growth rates under different levels of distribution and advertising from a to b. Set up an integral to determine the extra sales growth if $3 million is used in advertising rather than $2 million. (Use f for f(x), g for g(x), and h for h(x).) $4 Million advertising $3 Million 8 advertising $2 Million h advertising a Distribution dx Need Help? Read It Sales Growth Ratearrow_forwardEvaluate the line integral using Green's Theorem and check the answer by evaluating it directly. $ 5 y dx + 5 x²dy, where Cis the square with vertices (0, 0), (2, 0), (2, 2), and (0, 2) oriented counterclockwise. + iarrow_forwardEvaluating Polar Integrals In Exercises 9-22, change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. μl pV²-3² 11 12. Jo Jo ra I √a²-x² тугилау dy dx JOJOarrow_forward
- Using the Fundamental Theorem of Line Integrals In Exercises 47-50, evaluate F· dr using the Fundamental Theorem of Line Integrals. F (x, y) = e²*i + e²»j C : line segment from (-1, –1) to (0,0)arrow_forwardEvaluate the line integral using Green's Theorem and check the answer by evaluating it directly. ∮C6 y2dx+3 x2dy∮C6 y2dx+3 x2dy, where CC is the square with vertices (0,0)(0,0), (3,0)(3,0), (3,3)(3,3), and (0,3)(0,3) oriented counterclockwise.arrow_forwarde* What is the integrable form of dx? A du B du du D duarrow_forward
- The figure shows the sales growth rates under different levels of distribution and advertising from a to b. Set up an integral to determine the extra sales growth if $4 million is used in advertising rather than $3 million. (Use f for f(x), g for g(x), and h for h(x).) $4 Million advertising $3 Million g advertising $2 Million h advertising Distribution dx Vi o! Sales Growth Rate | +| |x| |미 |5arrow_forwardUse Green's Theorem to evaluate the following integral Let² dx + (5x + 9) dy Where C is the triangle with vertices (0,0), (11,0), and (10, 9) (in the positive direction).arrow_forwardLine integrals Use Green’s Theorem to evaluate the following line integral. Assume all curves are oriented counterclockwise.A sketch is helpful. The flux line integral of F = ⟨ex - y, ey - x⟩, where C is theboundary of {(x, y): 0 ≤ y ≤ x, 0 ≤ x ≤ 1}arrow_forward
- evaluating V-2 by substitution, if u =x– 2 then what will be the resulting indefinite In integral in terms of u and du? 3/2_ np 2u np 3/2. +u duarrow_forwardсп show that f(x=3x is integralble [0,4] using the definition.arrow_forwardUsing the method of u-substitution, | (32 – 8)² dz = | f(u) du - where u = (enter a function of æ) du = da (enter a function of ¤) a = (enter a number) b = (enter a number) f(u) = (enter a function of u). The value of the original integral isarrow_forward
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