2. S dy 3ylny/9ln²y-25

Q: Use the special comparison test to find whether the following series converge or diverge. 31. E (2n ...

A: We will use Limit comparison test to solve this

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A: B(x) = xa (1-x)b  B'(x) = xa ddx[(1-x)b] + (1-x)b ddx(xa)B'(x) = -xa b(1-x)b-1 + (1-x)b axa-1B'(x) =...

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Q: 123. y = V1 – x², x = 0, and x = 1 y%3D =0, and x 1 %3D %3D |

A: Since you have posted multiple questions in this question which are not interlinked so I have solved...

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Q: 2. Set up only the integral(s) that will compute for the area shaded region. y =-4 y=r+2 y = 2r -

A: Explained below 

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Q: Anti-derivative of this function:  h(θ) = 4 csc θ cot θ + 2 sec2 θ

A: Indefinite Integration

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Q: 1. Find the equation of the parabola given the following parameters and draw the graph of the equati...

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Q: What is the area of the shaded region? y = y = -2x*

A: We will take difference of both curves to find the area using integration.

Q: 4.) f(x) = 3x? – 2x + 4 at a point where x = 3

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Q: 2. The graphs of the functions f and g are shown below on the same axes. If h(x) (8(x))4 wh f(x³) 12

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Q: local extrema, if the test applies. Otherwise, use the First Derivative Test. f(x)=x^4+8x^3+2 Enter...

A: Given query is to find local extrimas.

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Q: solutions using Integrating Factors Found by Formulas y(y + 2x − 2)dx − 2(x + y)dy = 0

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Q: Differential equation dy - 3x Initial conditions y=4 when x=9 1. dx %3D

A: Note: - “Since you have asked multiple questions, we will solve the first question for you. If you w...

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Q: If fó f(x)dx = n , f, 79(x) dx : 7, and g(x) dx = 2, what is the value of S, g(x) dx?

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Q: find f ′(x) for each function. f (x) = x7 + 10

A: Solution: Given data,  f (x) = x7 + 10

Q: Question 3 Find k' (x) if k(x) = e* ( 3x5/4 %3D Provide your answer below: K(x) =

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Q: . A closed rectangular box with a volume of 16 ft is made from two kinds of materials. The top and b...

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Q: Question 1: a) Find the definite integral (x + 1)(x - 1)dx -1 Answer: I = fa- b) Find the indefinite...

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Q: 1. Use any appropriate method in finding the indicated solution of the following differential equati...

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

Q: Let f(r) be the function 1 Then the quotient I +7 f(7+ h) – f(7) -1 can be simplified to for: ah + b...

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Q: -5 -4 -3 1 2

A: An inflection is point where graph of function change its concavity 

Q: coth (7x - 3) + C B) tanh (7x - 3) +c I sech? (7x - 3) + C tanh (7x - 3) + C

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Q: Find * of the following implicit functions. 11. In y = e' sin x

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Q: 8 Set up surface aenerated by revolving the given. Curve about the indicated axis, an integral for t...

A: y=x3, 0≤x≤2, about x-axis

Q: d the area of region between twe nctions flx)= oinx, Sc)=cosax,-LXLI

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Q: For vectors ā = (2,4,-1), b =(-1,3,2), calculate the vector projection of b on ā. %3D

A:  Vector projection of b→on a→=(a→.b→)a→Consider  a→.b→=(2×(-1))+(4×3)+((-1)×2)                      ...

Q: H.W. 2 Let 1=-2 + 1li, z2 = 2- i. Showing the details of your work, find, in the formx + iy: %3D 1. ...

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Q: find deri vative gan -? () =

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

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Q: ead Aloud Find the perimeter of each triangle. Write the answer in simplified form. Markup 10. 9. Co...

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Q: 5 -4 -3 -2 -1 -1 -2 -3 -4 Find the magnitude and angle (in degrees) of the vector shown above. Magni...

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