Convert the double integral [[ (x + y)ex²-y² dA to uv-plane where R is the rectangle enclosed by the lines x - y = 0, x − y = 2, x + y = 0 and x + y = 3, using the change of variables x = -— (u + v). y = -— (u – v).

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Q: 7. Sln4 ln 4 ex 3+2ex dx Integrate by hand, and give the exact answer.

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A: Given: The paired data below consist of the costs of advertising (in thousands of dollars) and the…

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Q: lim [tan 3x]2x X-> 0¹

A: Since , then    Simplify:       Move the limit under the exponential:

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A: Here water bottle is at height of 80 m initially. We will use equation of motion.

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Q: Solve using the principles together. Don't forget to check. 7(5x + 8)= 12 − (x+4) What is the…

A: Given that    7(5x+8) = 12 - (x+4)

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Q: □ O 5 16 0_5 4 4n²5n+6 no 5n²+ 4n+7' 27. Evaluate the limit of lim

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Q: Find the exact value of sin sin 7/3 = sin (a) π 3 8 a E CHI

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Q: An aquarium 8 m long, 1 m wide, and 1 m deep is half-filled with water. Find the work needed to pump…

A: Given that an aquarium 8 m long, 1 m wide, and 1 m deep is half-filled with water.

Q: 148⁰ 328° 32° 2. Assume 0° ≤ A ≤360°. 212° Determine the measure(s) of, to the nearest degree. sin…

A: Given that  and  we have to find the nearest  degree .

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Q: Find the lengths of the sides of the triangle PQR. P(1, 2, 4), Q(3, 4, 3), R(3, -2, 0) |PQ| = |QR| =…

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Q: K Let f(x)=x-3, g(x)=√x, h(x) = x³, and j(x) = 4x. Express each of the functions given below as a…

A: We are given thatf(x) = x-3   ,  g(x) =√x   , h(x) =x3 ,  j(x) = 4*xWe have to express, a.  y= √x-3…

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Q: 11. Discuss the behavior of the graph of(y-1)². As x increases to the right: c. a. the graph…

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Q: Solve the given differential equation by separation of variables. dx + e⁹xdy = 0 y =

A: Given:To solve:The given differential equation by separation of variables.

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Q: 7, dx (23) √ √25x² + 2 dz 25. (21. 27. 29 dy ? √ √²√5 - 1² (31) S z³ √z²-4 x² dx (6x² - 49)1/2 dt S…

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Q: 1. For what value of the number k does the function f(x) = (1 + kr + 2)e have f'(0) = 57 (A) 0 (B) 2…

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Q: 4. (§8.2) Recall from Calculus I that one application of integrals is to find total distance…

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