3. Two sides of a triangle are 5 and 10 inches, respectively. The angle between them is increasing at the rate of 5° per minute. How fast is the third side of the triangle growing when the angle is 60°?

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Q: Q9. (a) The nth term of a sequence is 6- 2n Work out the first three terms of the sequence. (b) Here…

A: We can solve the given problem as follows:

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A: Let's find.

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A: topic - integration by parts

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A: See the answer below

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

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Q: 12. Evaluate the given integral, J x² sin x dx: A. - x2 cos x + 2x sin x + 2 cos x + c B. x2 cos x +…

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Q: Evaluate: S (= + e-5" )dx 1 5x 5 e-5x + C 4 4x 5 5e-42 5x 4 + C 4 5 5x 5 + C - - 4 5

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A:

Q: a?u 2. Solve 0, 0 < x < T, 0 <y<n, + и(0, у) %3D 1, и(п, у) — 1, 0 < y< n и(х,0) — 0, и(х, п) — 1, 0…

A: Solving

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A: Find your answer below

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A: The answer has exact form. You will not have to enter the variables.

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A: We have to find the integral

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Q: Find f. f "(x) = 1//1- x?, () - = 2 f(x) =

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: Given that rate of decay of radium is proportional to the amount present at that time.

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A: The given logarthim expression,       log24x3x2-3x-18

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A: I hope you are asking for the derivation of standard integral for tan(x).

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A: Here we have to sketch the given curve.

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A: We have to find the integral

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A: We need to solve the integral.

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