Determine the value of t that maximizes the area above the x-axis and below the graph of the equation y = -t°x² + 9t

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A: We will use ratio test to find radius of convergence.

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A:

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A:

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A: Explained below

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Q: 2ln|x| + 3 ln|x + 1| – * - + C 5x2+11x+2 dx x(x+1)2 2ln|x| + 3 In|x + 1| ++C 4 2ln|x| + 3 ln|x + 1|…

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Q: Find the sum of the first 21 positive integers. The sum of the first 21 positive integers is

A: We will use the concepts of A.P.

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Q: 9. A triangle has two sides represented by vectors OA = (2,-3) and OB = (3,1). Determine the…

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Q: the

A: We will find the derivative.

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A: We need to find partial derivative.

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Q: ||r(t) × r"(t)|| ||r'(t)||* Use the formula k(t) : to find k(t). r(t) = e"i+ ej K(t) :

A:

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A: This question is related to differentiation, We will solve it using given information.

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Q: The measure of an angle 337.5 degrees is equivalent to ra 15 A 4 15n 8 13п 8 13п D 4. B.

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Q: 2x (x- 3)2 .

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Q: (2) Prove that for any integer L () NTX / sin? dx = L. L -L

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A: Solution is given below:

Q: 5x2+11x+2 dx x(x+1)²

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Q: Find the S(x* +) dx xe-1 А. 1x? + c e-1 4e xe+1 В. Ix2 + c e+1 2e xe+1 С. 1x3 + c e-1 Зе xe+1 1 D.…

A: Given query is to find the derivative of the expression.