Solve the following equation -1 cos 2.x + sin-1 X = 3

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A: We solve the above integral using integral by parts which is given in step 2 .

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A: Find your answer below

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A: Given that the area of a circle increases at a rate of 6 cm2/s .

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A: dydx =ky1-yM⇒y' =0.72y1-y9· 107⇒y=-90000000e0.72t+c11-e0.72t+c1

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A: According to company rule we can answer only first question and rest can be reposted.

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Q: INTEGRATION OF TRIGONOMETRIC FUNCTIONS AND ITS TRANSFORMATIONS Evaluate the given integrals. Please…

A: The given integral,         ∫5 cos xcot2sin xdx

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A: We have to find limit

Q: Answer 1 only. Upvote if it is typewritten.

A: We have to find the integral

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A: x2+y2 subject to the constraints x2-10x+y2-8y=0

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Q: Find the area under the curve f (t) = 3 − x2 + 5x from x = −2 to x = 4 .

A: Find the area under the curve f (t) = 3 − x2 + 5x from x = −2 to x = 4 .

Q: Find the derivative of the function. -x + 1 r(x) : = |(7x – 4)(x – 8) -

A: Given that a function r(x) and we find derivatives of r'(x) .   We know that d(xn)/dx= nxn-1.…

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A: Given graphs,  x=2y2, x-y=1 ⇒x=y+1

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Q: S sin3xsin 2x dx 3.

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Q: Entertainment In a survey of 100 Enormous State University students, 22 enjoyed classical music, 20…

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Q: Given the function Y(0) = S4 Use the Laplace Transform table to convert this function into f(t).

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A: This question is based on slope of a curve wich is given as  dy/dx

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Q: First derivative analysis clefermine increasing /decreasing intervals b) find any max/mins. Second…

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Q: A. Evaluate the following integrals. dx 1. 5+x2

A: The objective is to evaluate the integral.

Q: Suppose f(x, y) = x² + y? + x?y+ 2 and D = {(x, y) : |x| < 1, |y| < 1}.

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Q: Find f. f"(x) = 6 - 6x - 40x, f(0) = 7, f'(0) = 6 %3D f(x) = %3D

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Q: 12 S sin e (coto csc@) do

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Q: A. Evaluate the following integrals: 1. Sx² e*³dx et3

A: To evaluate the given integral.

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A: Given : Time =9.65 s Distance =100m

Q: Which of the following trigonometric substitutions is the e 4x dx most appropriate to the integral f…

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Q: xp ( 14

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Q: (a) log2 r = 3 I+2 (b) 8. = 4* %3D (c) 5 = 7+1 %3D

A: Given query is to find the value of x.

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Q: Find the volume of the solid that results when the region enclosed by 7x y = V1+ el4x' 0, x = 8, and…

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Q: Find the amplitude and period of the function. y = 3 + 1/2 cos(?x) amplitude=           period=…

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Q: 1. Sx² e**dx

A: 1. To determine ∫x2ex3 dx

Q: TT Consider the region D bounded by y = cos(x), y = 8 + cos(x), and x = + 3 y y = 8+ cos(x) 8 6. 4 y…

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Q: Sx² e**dx 1.

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Q: Determine whether the sequences converge or converges, find the limit. diverge. If any of them a. 2…

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Q: Consider the function below. f(t) = t + cost, -2n sts 2n (a) Find the interval of increase. (Enter…

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Q: (2x³+9)dx (x²+3)(x²-2x+3)

A: This is a problem related to partial fraction of decomposition and integration. Based on the general…

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A: Explanation of the answer is as follows

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Q: dy Y – x dx y + x

A: