Determine whether the series converges, and if so find its sum. If the series diverges, indicate that using the checkbox. El-1)k-1_8 7k-1 k=1 The series diverges.

Q: The Maclaurin series of the function f(z) = 3z'e-9 can be written as f(x) = Cn" n=0 where the first ...

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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 17 The graph of the function y = f(x – 51) can be obtained from the graph of f(x) by one of...

A: QUESTION- The graph of the function y= f(x- 51) can be obtained from the graph of y= f(x) by one of ...

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

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Q: Suppose that f(x) = = (1 – vx) and g(x) = (x + 2). Find f[f (x) + g(x)] dx. %3D

A: We need to find integral value.

Q: 15 tind the voleime of the solid senerated by revoling the following region about the y-axis, The re...

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Q: 4. Integrate: 5dx dx a) f b) [ c) f- 1 dx; d) x' V16-x? 1+ cosx cos x

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as...

Q: find deri vative gan -? () =

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

Q: find deriva tve fla)= (e^+フス?) 3 ,2 -2 X -4メ ² + 5x +12)

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Q: Problem 8. Use Newton's method to find the positive root of: (x+4)³ – e'.92* +5 cos =9, correct to 3...

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

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Q: Find the area between the curves y 0.7x and y = 2.4x +1 from x = 0 to x = 4. = e Area =

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Q: 5. prove thatS" erf (x) dx =o CA

A: ddx(erf(x)) =2 e-x2π   I =∫-aa erf(x) dxI= erf(x) x -∫ ddxerf(x) x dxI = x erf(x) -2π∫ x e-x2 dx-x2 ...

Q: 17. The graph of the function fon the interval -4 sxs 7 consists of three line segments and two semi...

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Q: Use the shell method to find the volume of the solid generated by revolving the shaded region about ...

A: Concept- we have a given curve and we have to find volume by using the method of cylindrical shell.

Q: Which of the following series are alternating series? (Hint: It may be helpful to calculate the firs...

A: Let's find. 

Q: 2. S 1 dx | (2x + 1)3

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Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x) = V7x +3...

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Q: 8. Find a definite integral for the area of the region that lies inside the polar curve r2 = 8cos(20...

A: Here, given that the region is bounded by the curves: r2=8cos(2θ) & r=2 which is

Q: Evaluate the integral fr xe*" dA, where R = [0,4] × [0, 2]. (Use symbolic notation and fractions whe...

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Q: The first federal minimum wage was established in 1938 at $0.25 per hour. Since then, the hourly fed...

A: This question can be solved by applying the formula of average growth rate.

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: S Find the voleime of the solid generated by revolving the region baunded by the given lines Cnd cur...

A: Hint: Try Disk Method to find the volume.

Q: Sketch the region bounded by the graphs of the curves y = V+ 4, y= 4 – x, and r= 4. Then find the vo...

A: Given :    y = √x + 4     y = 4 - x     x = 4   Volume about x = 4

Q: The factorial of a positive integer n, denoted n!, is equal to the product of all integers between 1...

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Q: Obtain the solution using Integrating Factors Found by Inspection 1. ydx + 2(y* – x)dy = 0

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Q: (x+1)dx 9. S x(x²+1)

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Q: x? — х - 2 lim х->-1 x? + 3x + 2 X→-1

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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: solutions using Integrating Factors Found by Inspection a. ydx + 2(y^4 − x)dy = 0 b. y(x^3 e^xy − ...

A: A detailed solution is given below

Q: Suppose the demand for a certain brand of a product is given by D(p) = + 250, where p is the price i...

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Q: 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...

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Q: wextan' (x *ャッ *ャッ

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

Q: A car is initially traveling at 50.0 km/h. The brakes are applied and the car stops over a distance ...

A: Topic:- 

Q: Let A- {#, 7, x) and let R be the relation on A given by R (7, 7). (#. #)}. Prove or disprove reflex...

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Q: Big Ben, the famous clock in London, has a minute hand that is 14 feet long. How far does the tip of...

A: This question can be solved using the formula θ=lr

Q: Calculate the double integral of f(x, y) = x over the region D in the figure. Assume that a = 2, b =...

A: Given problem:-

Q: Find the antiderivatives or integral of each of the following: let u= Jsech*2tdit du=

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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: - 2ry? = 0, y(0) = -1. The interval I of definition os (D) (-∞0, 0).

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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: (1+,x£)u[ = (x)f I 'I %3D ,find f'(x). V(4x3 – 5x)2

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Q: 2x3+3x dx x4+3x² In lx* + 3x²1 + C 1 + C In(x4+3x²) C В 1 D 1 1 - In Ix* + 3x²1 + C + C 2 In(x4+3x²)...

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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...

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: Use a parametrization to find the flux •n do across the surface in the given direction. S 2 F= - 2xi...

A: We have to find the flux using parametrization.

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: Given f(x) = 2 /x + 2, find f'(x) using the limit definition of the derivative. f'(x)=

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Q: Find the radius of convergence of the power series. (If you need to use o or (-1)" x" Σ 2" n = 0

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Q: What is the area of the shaded region? y = 2 2 x = TT y = 1 + cos x

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