Find the sum of the infinite series, if it exists. -16 -64 32 8, , 5, 27· 3 Enter the sum as a fraction in its reduced form as a/b Enter dne if it does not exist.

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. an=e2n/(n+2...

A: Given that - an=e2n/(n+2) an=ln(n+1)-ln(n)

Q: A plane flying horizontally at an altitude of 1 mi and a speed of 540 mi/h passes directly over a ra...

A: Solved below

Q: Let f(x) = |r|. The derivative of f at r = 0: Question 1. a) Equals to ±1 b) There are infinite poss...

A: Given, f(x)= |x| Finding the derivative we have, df/dx= d(|x|)/dx f'(x)= x/|x|  

Q: A function F is an antiderivative of the function f on an interval I if for all x ɛ I A F(x)=f (x) B...

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Q: how do you multiply big numbers and don't get confused?

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Q: Let y3 - 4x = 2xy. Find d2y/dx2. Show work please.

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Q: Find the limit: (а) lim tan 3x x2 sin27x

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Q: 1. Each situation relates a quantity and a price. Calculate the two different unit rates associated ...

A: Use unitary method.

Q: 2. Consider M(x, y) + N(x,y) · = 0. (a) Suppose we can find a function F example of such an equation...

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Q: Determine whether the integral is converget or divergent. If it is ca (x-4)3/2 The integral is (conv...

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Q: Suppose that your first guess with Newton's method is lucky, in the sense that x, is a root of f(x) ...

A: Option (B) is correct answer i.e. x1 and later approximations will be equal to x0

Q: (1+ In²e) -' d® Otan-'(In®)

A: To evaluate:2) ∫41+ln2θ-1θtan-1lnθdθ

Q: Find the equation of the curve for which y" = x, and which passes through the point (1, 2) with a sl...

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Q: Consider 2 -6] -4 V1 = -5 1,v2 = -3,V3 = 2 15 h (a) For what values of h is v3 in Span{v1,v2}? Justi...

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Q: 2f(x) Evaluate the lim,→1 g(x) Refer to the graph below. 2. f(x) g(x) Answer:

A: topic - limits

Q: 1 Find the vertical and horizontal asymptotes of the function f (x) = , where q (x) = (ya+10)(10 – x...

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Q: 1. Find the 45th of the arithmetic sequence -18, -22, -26, -30

A: As per company guidelines we can solve first question. I hope that the given solution will help you....

Q: 14. Choose the best answer. Find the value of the remaining side of the triangle t a = 11, b = 6, C ...

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Q: Find the derivative of the function y=(2x+5)^4(3x+1)^-5

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Let F(x, y) = 1+ 4 – y². a. Evaluate F(3,1). b. Find the domain of F. c. Find the range of F.

A: Given:

Q: On which interval does the function f(x) = (x+ 5)/(x-1) discontinuous? О а. [0, 2] O b. [-1,0] Ос. (...

A: Note: As per our company guidelines we are supposed to answer first three questions only. Kindly ask...

Q: How do you do this in properties of addition.

A: Our Aim is to apply the properies and to solve the fractions given below:-(2) 39+59+49(4) 426+246+33...

Q: Verify that for all n ≥ 1, the sum of the squares of the first 2n positive integers is given by the ...

A: Verify that for all n ≥ 1, the sum of the squares of the first 2n positive integers is given bythe f...

Q: 20. 7 (xx + y), x= st, y=st s= 1, t = 1 %3D %3D

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Q: |sin (x)cos (x) dx

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Q: Find the area of a triangle bounded by the y axis, the line f(x) = 7 – 1 - x, and the line perpendic...

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Q: Suppose 3x2 – 3x + 8 - f(x) : x (x2 + 4) Then A f(x) Bx + C | x² + 4 where A = and B %3D , and C =

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Q: Obtain a family of solution 1. [x-y arctan(y/x)]dx + x arctan (y/x)dy = 0

A: Solution is given below:

Q: 1.Determine the formula for the nth term of the following sequences: 2 а. 2 33 53 -1 1 -1 b. 1!' 3! ...

A: Given :a) 213, 0, 233, 0, 253,...b) 11!, -13!, 15!, -17!,...

Q: 7. Find (a) y = (x* + 5x) cos 5x %3D dx

A: We can find the derivative using product rule as below

Q: An object is thrown vertically upward from a point 32 feet above the ground with an initial velocity...

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Q: The limit of a constant is equal to the constant itself regardless of any value of x nearer to a num...

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Q: Determine the equation of the curve whose tangent line at any point (x, y) is e* - cos x and passes ...

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Q: * +3 Vx -dx ? What is the antiderivative of 1/3 (A 6x2 C B 9x /½, ,/3 + C + 2x © x (2x% +9) + C D + ...

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Q: Let R be the region in the first quadrant bounded by the graph of y = 2 cos (), the line y = , and t...

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Q: 1.Determine the formula for the nth term of the following sequences: а, 3 3, ап+1 %3D 2а, ; n 2 1 FO...

A: Given: a1=3an+1=2an ;         for  n≥1

Q: If lim, »a f(x) is not equal to f(a), then f is discontinuous at x = a. Select one: O True O False

A: As per guidelines we have to solve one question Please repost other questions again

Q: Find the slope of the tangent line to the sine function at the origin, (a) y = sin(4x) 15 y'(0) = 4 ...

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Q: The point (0,0) belongs to the graph of the function g(x). What is the corresponding point on the gr...

A: Given, g(x)= -f(x)/2 +3 Point (x,y)= (0,0)= (x,g(x))= (0,g(0))  

Q: the temperature (in F) at point (x,y)(measured in miles) is given by  T(x,y)=80-x4 +2x2 y-y2 How f...

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Q: The price-demand equation and the cost function for the production of a certain product are given, r...

A: Given: p= 15-0.005x C(x) = 2000 + 3x  

Q: Confirm that the below limit meets the conditions to apply l'Hôpital's Rule and then solve the limit...

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Q: Зех-5 Find the lim and lim of: —5ех—1 X→-00

A: We have to find out 

Q: The cost of certain piece of machinery is S 700 and its value is depreciating with time according to...

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Q: A comet passing by a star, with initial velocity (30, 60), experiences a force which causes it to ac...

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Q: Consider the following system. 2x – y+ 2z = 5 x – y+ 3z = 1 x + 2y + 4z = 6 10 1 2 -1 2 13 13 6 13 4...

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Q: Use Gauss-Jordan elimination and LU decomposition to solve: 2x1 + x2 – X3 = 1 5x1 + 2x2 + 2x3 3x1 + ...

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Q: d) Graphs of the revenue and cost functions are shown below. Answer the following questions. R(x), C...

A: topic- functions 

Q: Assume that ƒ(x) dx = 12, and f(x) dx = 9. Given that f (x) is positive on [0,4] and %3D negative on...

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Q: Write the function g(x) in terms of the function f(x). O al r) - -3 f(r)+?

A: Given, Functions f(x) and g(x) From the graph, f(-2)= 0 g(-2)= -2