Solve for the third degree Maclaurin polynomial of f(x) = tan(3x). Use this to estimate the value of tan0.3. Answer in decimals.

Q: Q3) Evaluate triple integral S S dz dx dy . x-y

A: ∫02∫0y∫x-yx+y dzdxdy ∫02∫0y [z]x-yx+y dxdy ∫02∫0y(x+y - x +y)dxdy ∫02∫0y 2ydxdy ∫02 (2y)[x]0y dy ∫02…

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A: Use simple integration formula.

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A: => i have provided this answer with full description in step-2.

Q: Evaluate

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A: Solution is given below:

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A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: 8. 6x° cos (x³) dx

A: ∫ x8cosx3dx

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Q: etermine if the given converges or diverges. Find the value if it converge. | In(x²) dx -1

A: To integrate the given function.

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A: fx = x3∫01fxdx =limn→∞1n ∑i=1nfxi ; where xi = in                                     1∫01fxdx…

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A: We have to check for x=11 given series is convergent.

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A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: solutions

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Q: Solve for the general solution of the following differential equation and determine whether it is…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

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A: We have to find area of bounded region.

Q: 9. x =t² +1, y = 3t² + 2t . a) Find dy/dx Show All Work and Give Answer In Simplest Form.

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Q: Use transformations to graph the function. 34) y = sin (x – T) Ismatals adi enon ( TC 2n 3T -2+ -4-

A: Solution: Given data, y = sin(x-π)

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A: We can solve as follows

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Q: Here is the given, ∞ (x-2) n=1 Vn2+ 9 (9.) Show that the series conveges conditionally when x= 1.…

A: The given series is: ∑n=1∞(x-2)n9n2+9=∑n=1∞(x-2)n3n2+1...(1)

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A: Given  an = lnn+1 - lnn for n∈ℕ.

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A: Consider the graph of f(x)

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A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: de Evahuale integ. w) partiar frac. calcu larors no

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A: We have to solve questions based on Series .

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A: Given  Laplace transform

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A: LetI=∫x2x2-2552dxI=∫1x2-2552x2dxApply integration by…

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A: Given

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A: f'(x) = limh→0 f(x+h)-f(x)h.

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Q: ( 3x2 + 1, { if r 3 а. —8 b. -18 с. 18 d. does not exist

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