5. 3x² + x -1 x+2 A 3x2 + 5x + 9 In I x + 21+C 2. 3x2 - 5x + 9 In I x + 21+ C 2. B 3x2 + 5x + 9. + C In( x+2) D 3x2 5x + In(x+2) +C 2

Q: 1 1 Зп — 1 3n + 2 n=1

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Q: Evaluate the iterated integral. NOTE: Enter the exact answer. ^2 cy? yz dx dz dy DNE -90 J-60

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Q: 13. Evaluate the given integral by converting to polar coordinates ez²+y² R = {(x, y) : a² + y? < 3}...

A: Given

Q: 1.) f(x) = 2x³ + 3x² – 12x – 7 %3D |

A: We can sketch the curve  of a function by using the first derivative and second  derivative .

Q: Find the slope of the tangent line to the graph of the given function at the given value of x 1/2 3/...

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Q: The domain (over the real numbers) of the function f(x) = V5x + 63 is in the form of either (- o, A]...

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Q: tan 7. dr r2

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Q: 4. You will need to use L'Hopitals Rule in this one Sxe-* dx

A: This is a improper integral problem

Q: A packaging company must design a cardboard box with a bottom, no top and a partition in the middle ...

A: Given problem:- A packaging company must design a cardboard box with a bottom, no top and a partitio...

Q: Evaluate the integral. 8 sinh O 8 sinh c sin sinh 즐

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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: Consider the series 00 Σ n3 n=1 1 Is it possible for this series to be conditionally convergent? a. ...

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Q: 3. [xsechtr'dx 5. (secht2tdt

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Q: Evaluate the integral 7/4 cos(2x + y) dxdy. T/4

A: Solution: As per our guidelines, we are supposed to answer only one question ( if there are multiple...

Q: Which of the following series converge absolutely? a. (-1)" Σ n3 n=1 n=1 00 C. (-1)" Σ Vn n=1 b.

A: To find the Absolute Convergence of the given series.  

Q: Activity 1. In this ULO, we have leamed how to use critical points, first derivative test and second...

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Q: Integration by Substitution the integrals

A: Topic:- integration

Q: Below is the graph of f(x)= -x + 5x +6. C 1. B. 4. D E a) Find the co ordinates of all 1abeled point...

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Q: Question 8 Which of the following is NOT EQUAL to the given integral. tanx There is no correct answe...

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Q: Evaluate the following limit. Use​ l'Hôpital's Rule when it is convenient and applicable lim x->0 ,...

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Q: Question 12 Provide an appropriate response. Is 5x4 dx =x5? Explain your answer. Use the editor to f...

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Q: The graph of f(x) is shown below. Estimate and list the value of x where f(x) has a horizontal tange...

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Q: find solution of this differential equation:  y′ tanx sin2y = sin^2 x + cos^2 y

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Q: 7. The radius of a cylinder is increasing at a rate of 1 meter per hour, and the height of the cylin...

A: let r be the radius of cylinder    h be the height of cylindergiven drdt = 1 mhrdhdt = -4 mhrwhen r ...

Q: 1. Let the curve C be traced by the vector-valued function R(t) = (cos(zt), nt, sin(at)) a. Find the...

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Q: As the prize in a contest, you are offered $30,000 now or $58,800 in 9 years. If the money can be in...

A: Given     investment=$30000 Time (t)=9yeays Rate (r)=7% Here compound annually so  A1=P(1+r/100)^t P...

Q: Answer the following questions for the function 2 f(x) = x /x² + 36 defined on the interval – 5 < x ...

A: Given function is  f(x)=xx2+36  ,        -5≤x≤5 Differentiate with respect to x , we get  f'(x)=x2+3...

Q: 7. ex-4e-3 dx x- A 2 x + + С 2 + С et В х+2 е х + О D х - 2 е * + С

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Q: Determine the limits of the following using the table of values 1. lim 3x 2. lim (x2 – 1) x→ー1 3. li...

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for yo...

Q: Identify which type of infinite series the given series belongs to. Then, use it determine whether t...

A: We have to find if the given series is a convergent series or a divergent series.

Q: Find the derivative of the following functions: 5. y = tanh 2x +coth 3x ans. y' = sech²2x – 2csch²3x...

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Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman win...

A: Solution )

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.

Q: Where did the value inside the circle go? Can you explain step by step? (-)m 2m 2m m=0 2 m! [(m+V+1)...

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Q: Evaluate the integral. (Use C for the constant of integration.) sin(8x) cos(5x) dx

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Q: Obtain the solution using Integrating Factors Found by Formulas 1. 2(2y² + 5xy – 2y + 4)dx +x(2x + 2...

A: First we making exact differential equation then find solution. 

Q: 3. Find the arc length of the curve y =;x² --In x,

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Q: Colton is hiking in the mountains. Colton's elevation, m(a)m(a), in feet after aa minutes is given b...

A: solution:-Givenm(a)=-50a+3500where.m(a) represent  Colton's elevation in feeta is time in minutes  

Q: The total cost (in hundreds of dollars) to produce x units of a product is C(x) = 9x - 2 Find the av...

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Q: 2. Create one function containing the following characteristics: a. Removable discontinuity at x = 2...

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Q: What is the area of the shaded region? y = sin x TT ST 6

A: From the given region; So, The point of intersection between the curve and line is: y=sinπ6=12y=sin...

Q: 1. Find the first derivative of the function g(r) 6x + 27x2 +36x. g'(x) = %3D 2. Find the second der...

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Q: 16. Find the volurmes of the solids generated by revolving the resion in the first quadrant. bounded...

A: Given problem:- Find the volumes of the solids generated by revolving the region in the first quadra...

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

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Q: (25/7 – 36 Evaluate the integral: (A) Which trig substitution is correct for this integral? Oz = 25 ...

A: Given: I=∫25x2-36x4dx  ...1 We know that; The trigonometric identities; 1). tanθ=sinθcosθ2). secθ=1c...

Q: A particle is moving in the velocity of v(t) = . Find the torsion of the particle's movement. Leave ...

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Q: 4. S (sint + cost t ) dt A - cos t + sin t + C C - cos t- sin t + C B cos t+ sin t + C D cos t- sin ...

A: 4. In this question, we need to find the integral.

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

Q: E (1) (-1). Incn) Incn) + l000 ne50

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Q: az ) Use Implicit differentiation to find ax and for x2 – y2 +z? – 2z = 4 ду

A: