Question 2 Let us calculate the definite integral | (2 + a? + 1)°(6æ² + 4x) da

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A: Topic = Geometry

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A: I am attaching image so that you understand each and every step.

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A: we know two vectors <a, b, c> and <x, y, z> are parallel if (a/x) =(b/y) =(c/z) .

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A: Given problem:- Use linear approximation, i.e. the tangent line, to approximate 1/1.001as follows:…

Q: 1) Find the derivatives of the following. Simplify your final answers. d) l(x) = tanh-1 x + In v1 –…

A: Part d,Given,           lx=tanh-1x+ln1-x2To find : Find the derivative of the given function.

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A: topic - area bounded by curves

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Q: Expand the quotient by partial fractions. x² +1 x - 17x+72 x +1 x - 17x+72 (Simplify your answer.)

A: To expand the quotient by partial fractions.

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Q: Given ∫(x5−3x4+6x3+3)dx, evaluate the indefinite integral. Do not include +C in your answer.

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Q: Find the derivative of the function y = (tan '(z) ). ช่ ||

A: To find the derivative of  y=(tan-1(x))23

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A: Given that equation of line x-28=y+57=z+71Solution :x-28=y+57=z+71=tx=8t+2y=7t-5z=t-7point…

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A: The given figure is:

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A: I am attaching image so that you understand each and every step.

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Q: 4.) Evaleuate the integrali Jóxarcsin(5a)dx

A: ∫fg'=fg-∫f'gAnd ∫sinnxdx=n-1n∫sinn-2xdx-cosxsinn-1xnsee below the answer and calculation

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Q: Can

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Q: – 1)*dx

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A: To solve for x.

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A: topic - derivative and limits

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A: Solving the problem by finding the simplest form of the given expression.

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Q: C. Find the derivative of each function. x' - 2x 3. h(x) = 4. F(x)= sinx- cosx-tan x tan x

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Q: 1) Find the derivatives of the following. Simplify your final answers. d) 1(x) = tanh-1 x + In V1–…

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A: Given that,    ∫142x2dx=∫122x2dx+∫232x2dx+∫342x2dx

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