Use the indicated change of variables to evaluate the following double integral. x = = (u + v), y = - =— (u-v) Joox³y²d4 N 10,1) (1,2) (2,1) 2 ¹(1,0) X

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Q: Evaluate the following iterated in -1 1 075 (3x+y)dy dx

A: Topic:- application of integration

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Q: 1. Using the graph of f(x), what is lim, -f(x)? A. - 00 B. 0 C. -2 D. Does not exist E. 00 A

A: The graph of f(x) is represented by two infinite curves.

Q: 17. If the function x² - 4 constants A and B respectively are: A. A=- B: B. A 11 1 4 B is resolved…

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Q: box the final answer

A: This question is related to error in area of triangle, we will solve it using given information.

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A: Solution: Firstly let's find the limits of the Area since  y = x2 and y = 4x - x2

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A: Given,

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A: Basic differentiation identities are used.

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A: This question can be solved using the concept of definite integrals.

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A: Solution ) Direct formula for continuous compounding  A = Pe(rt/100) 42000 = 7500 e( 18t/100)…

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Q: Simplify the equation then solve for the first derivative. 1 -1 11 = √√4c² – (0.4 – 0.2)² + ({(0.4)…

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Q: 11. Evaluate the area under the curve y= on the interval [7, 9].

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Q: a) Use the method of Differentiation from first principle to prove that the derivative of the square…

A: Answer: As per guidelines we can do only one question at one time so please post other questions…

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A: To find the general solution of the given differential equation.

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Q: Question 1 Determine if the function below is continuous at x=9. Give reasons for your answer. F(x)…

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Q: 2). Compute the general term an of the series with the given partial sum Sn. Sn = 2 − n + 2 2n, n ≥…

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Q: 12. The trigonometric identities applicable to evaluate [sin' e cos³0 de 1 III. sin² 0 = (1-cos20) 2…

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Q: Evaluate edrdy.

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A: Given :gx=x3-3x2

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A: Topic = Algebra

Q: Fill in the blank. (Enter your answer in terms of t.) {} ( s7 - 6s + 13.

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Q: Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then…

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Q: (16x² − 16 x + 4)D²y = 4x² − 4x + 4

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Q: 2. Find a plane perpendicular to the planes x + y - 3z = 0 and x - 2y-2z = -1. Your answer

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Q: 0. Let u and y be functions of x that are differentiable at x = 5. Given that u(5)--7, u'(5)-1, v(5)…

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Q: 2

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Q: 8

A: Given that          curve              r(t)  = 4t i^ +2t2 j^             we have to evaluate   the…

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A: To find out the limit by L-hospital rule.

Q: 18. Solve (x+1)dx x²(x-1) A. 2lnx+In(x-1)+c B. 2ln(x-1)-Inx-x-¹+c C. x-¹-2lnx+2ln(x-1)+c D.…

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Q: 1. 4. [ + 4 (2x +4x-3)x dx 3-2x

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Q: 1. √(1-x dx X

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Consider the following initial-value problem. y' - y = 2 cos(8t), y(0) = 0 Find L{f(t)} for f(t) = 2…

A: Leat=1s-a ; Lsin(at)=as2-a2; Lcos(at) =ss2-a2.

Q: 2. (D² + D-2)y=e-2x + 3e²x

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