For the function f(x) = 21² + 1, it is given that 3 f(x) dx = 21. At what value C does the function f(x) attain its average value f(c)?

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A: Here we find the equation of plane using three points.

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A: Topic = Derivative

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A: Given.

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A: To find inverse Laplace Transform:

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A: In this question we have to find the Laplace transform of given function.

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

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A: topic:- coordinate system

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Q: Find the area of the parallelogram with vertices  P(3, 3, 3), Q(5, 5, 4), R(10, 9, 13), and S(8, 7,…

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

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Q: (1.1.1-4-3-3-4-6,...} 1, 3, 2, 4, 3, 5, 4, 6, { {

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Q: 1. [D³ – 6D² + 11 D - 6) y = cos x sin x

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Q: dx 7. √² +4 1. Integration Leading to Inverse Trigonometric Function/Additional Standard Formula II.…

A: We will use simple Integration rules to solve this question.

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Q: Q1. Find The derivative of the following functions a) G(2) = ² -dt c² +3 tan b). H(x) = [1² (² + 1…

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Q: Use linear approximation, i.e. the tangent line, to approximate 3.9³ as follows: Let f(x) = x³. The…

A: We have to approximate 3.93 using linear approximation, i.e. the tangent line. Given fx=x3. The…

Q: Question 12 Compute the following integrals: (a) fix√2x - Idr. (b) Sze-37 dz. Pay attention to…

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A: find out the f'(1).

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Q: (a) If f(y) = (y² + 8)³ Y 3 find f'(y).

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Q: Given that cot0 = - 4, sec 0 <0 for the angle 0, 0≤0<2, find the exact value of each trigonometric…

A: As per the company guidelines we are supposed to answer only first three subparts.Kindly repost the…

Q: Find the area contained between the two curves y = 3x - x² and y = x + x². 71/6 81/5 91/4 62/3 None…

A: This question can be solved using the concept of area between two curves.

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