Given the series Σ (n!)³ (4n)! n=1 an+1 find the ratio an (Express numbers in exact form. Use symbolic notation and fractions where needed.) | an+1 an Use the Ratio Test to determine the correct statement. The series diverges. The series converges. The Ratio Test is inconclusive. II

Q: Consider the following relation. S = {(10, 2), (–4, 6), (–7, –9), (3, –4)} %3D Step 1 of 2: Find the...

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Q: 2. Find the linear speed of a point that moves with a constant speed in a circular motion if the poi...

A: Given arc length=7.524 miles Time=12 minutes Find the linear speed of a point.  

Q: Find the x-values of all points where the function has any relative extrema. Find the value(s) of an...

A: Solution is given below:

Q: 6.2 Show that the Lorentz-transformations connecting the S' and S systems may be expressed as = x1 c...

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Q: Consider the following functions. f(x) = x and g(x) = |x| %3D Step 2 of 4: Find (f - g)(-2).

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Q: Use the limit comparison test to determine whether the series converges or diverges. 6k2 – 4k + 6 12...

A: Solve by limit comparison test :- if a known series and unknown series ratio after applying limit  i...

Q: h) f(x) = Write your answer in simplified factored form. %3D

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Q: The demand equation for a certain product is 3p+2q = 1900, where p is the price per unit in dollars ...

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Q: :) Find the inverse Fourier transform of F(w) : 3-4iw-w² [Hint: А В + x-b] (х-а)(х-b) х-а

A: solution given below..

Q: Three cars: A, B, and C start from rest and accelerate along a line according to the following veloc...

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Q: Partial fraction decomposition 1. x^3-2x=A(x-1)(x^2+1)+B(x^2+1)+(Cx+D)(x-1)^2 . If I know that B= -...

A: Given

Q: (I+ 3x)²

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Q: 7. Fill in the boxes below to create an equation equivalent to the equation x = 40. %3D log

A: 7. The equation is given by x3 = 40                         ..........1 To evaluate: An equation equ...

Q: Let P(x) = F(x)G(x) and Q(x) , where F and G are the functions whose graphs are shown. G(x)' F 4 2 G...

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Q: A roasted turkey is taken from an oven when its temperature has reached 185 Fahrenheit and is placed...

A: Cooling

Q: tan e de (1+ In cos ele

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Q: 2. Use the previous item to determine if the improper integra 2.x – x3 dx (x – 1)² (x² + 1) - conver...

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Q: H.W: Solve-Using D-operator dy dx + dt + 3y – 5x – e-t = 0 dt dau

A: Given: - The differential equation is, dydt+dxdt+3y-5x-e-t=02dxdt+dydt+x+y-3=0 To solve: - The solut...

Q: Use the identities cos 20 =1- 2 sin? 0 = 2 cos? r to help evaluate the integrals. COS 1 NOTE: Enter ...

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Q: (ii) L„(sin x) dx # 0 .

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Q: Suppose Ryan borrows $9000 at an interest rate of 3% compounded each year. Assume that no payments a...

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Q: Given: sin A = and cos x = - 12; evaluate the following expression. %3D (A: Quadrant I, x : Quadrant...

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Q: For the function G(x) = 3 – x, find G(-6), G(u), and G(u) . G(-6) = (Simplify your answer.)

A: For the function Gx=3-x2, to find G-6, Gu, and Gu2.  

Q: the number x (in thousands) of cat flea collars demanded each year when the price of a collar is p d...

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Q: п d) Σ (-1)" п е n=1 (-1)"*'n² п e) E 2 п +4 n=1 1 Σ- ‚n n=1

A: According to guidelines we can solve only first question. Please submit as separate questions.

Q: Given x = 60°, tan š can be rewritten as which of the following? 1- cos 60 1- 2 sin? 60 1- cos60 tan...

A: We can find the answer as below.

Q: Consider the following functions. f(-3) = 14 and g(-3) = –11 Step 1 of 4: Find (f + g)(-3).

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Q: Solve the systems of equation: Equation 1: x + 2y + 3zi = 20 + 5i; Equation 2: 5x - 3yi + 12z(1-2i) ...

A: I am attaching image so that you understand each and every step.

Q: Find the absolute maxima and minima of the function on the given domain. T(x,y) =x +xy +y - 9x + 1 o...

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Q: Determine whether the series converges. 1 k=l Vk + 6 The series diverges. O The series converges.

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Q: A.) List all possible points of discontinuity. B.) Discuss continuity at the specified possible poin...

A: ------------------------------------------------------------------------------ For continuity at any...

Q: .......n....... ..... Sketch the regions enclosed by the given curves. y = 2 cos(4x), y 2 sin(8x), x...

A: Given problem:- Sketch the regions enclosed by the given curves.   y = 2 cos(4x), y = 2 sin(8x), x=0...

Q: Use the Intermediate Value Theorem to show that f(x) = 2+ sin r 3 tan x has a | (0. ). solution in t...

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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Q: For the given function f(x), determine the equation of the tangent line at the point P(1,1) f(x) = v...

A: Equation of tangent line

Q: lim + sin(x)cos(x) 1+ In (x)

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Q: Please

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Q: dx 4. S x2Vx2-9

A: The given integral is  ∫dxx2x2-9

Q: Pendulum Problem Calculate the speed of the pendulum with respect to the x axis. Show solution using...

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Q: 1 dx (V[1 - (In(x))?) X

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Q: Answer: (Choose the answer in the boxes) 1. For a given function f(a) =-2x +6 a)slope is: b)x-interc...

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Q: For the function f(x) = 5x° – 7x + 13x+ 3, find f'"(x). Then find f"(0) and f"(3). Select the corect...

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Q: 4. Find the distance traveled (arc length) of a point that moves with a constant speed of 2.8 m/sec ...

A: Here we have to find the distance traveled of a point that moves with a constant speed of 2.8 m/sec ...

Q: 17. Find the volume of the solid obtained by revolving the region bounded by the graphs of y = tan(x...

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (kn 6sin O abs...

A: Here, the given series is: ∑k=1∞6 sin kπ2 Let, ak=6 sin kπ2; k≥1

Q: 2x – x° dx (x – 1)° (x² + 1) 8.

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Q: Find the derivative of the function using the power rule. (a) f(x) = 3/5x5 − 4x −4/3x-3 (b) f(x) = x...

A: a) f(x)=35x5-4x-43x-3 f'(x)=ddx35x5-4x-43x-3       =35ddx1x5-4ddxx-43ddx1x-3        =35ddxx-5-4-43dd...

Q: The diameter of Mercury is 3,032 miles and rotates every 58.65 days. If you are standing on its equa...

A: Find your answer below 

Q: The graph of Y = = Vx is given below: 5- 4 -5 -4 -3 -2 -1 1 2 3 4 5 3.

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Q: 1 and g(v) = Vv+ 5, find (f o g)(v) and (g o f)(v). v2 + 1 If f(v) =

A: The given functions are  f(v)=1v2+1  &  g(v)=v+5