2 + tan? (t) Simplify -1 to a single trig function. sec2 (t) No quotients. 2 + tan? (t) sec2 (t) -13= %3D -

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A: The given function .The aim is to sketch the graph of the function.

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A:

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A: We use integration by parts

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A:

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A:

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A:

Q: Taking log on both sides we get, In (L(a = 2, B)) =-2n·In (B)+ In Ex, Now partially differentiating…

A: Given that

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A: To evaluate the given integral.

Q: 1. 2y"" Hardcore 0 7y"+12y + 8y

A: To solve the given differential equation.2y'''-7y''+12y'+8y=0

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A: The given equation is 34x-3=18 We solve the equation and find the value of the unknown variable x

Q: The graph of f is shown below. Evaluate each integral by interpreting it in terms of areas. 1 So…

A: we need to find out the given integration by interpreting in the areas.

Q: x5-2x2 dx (ii) J Tr6-4x3

A:

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A: To find the integration of (arctan(πx)dx

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A: Given f(x) = -5x2+6 then f(a) = -5a2+6

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A: We need to find the following derivativeFormula Used:

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A: Integration

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A: given limit is of 00 indeterminate formso, apply the L'Hospital's rule to solve the limit

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A: Given expression is