Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges, and if so find its limit. If the sequence diverges, indicate that using the checkbox. 1 11 1 1 16 lim an The sequence diverges

Q: b) (a•b)x(cxã)

A: We have to check in part  (b)  scalar, vector or meaningless

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A: The formula for the Taylor polynomial of degree n is: pn(x)=f(x0)+f'(x0)1!(x-x0)+f''(x0)2!(x-x0)2+.....

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A: We have to find the form of the complete partial fraction of the function

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A: a) The given function is: f(x)=-2 cos 3x-π3+12

Q: 2e* Evaluate: Jo 2ex-1 dx. A) B) 1 C) D) 1. E) The integral diverges. O A)

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Q: Now that we know how to introduce the "-R" term into our matrix and we know how to find determinants...

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Q: dx (a) : x2 + 4 .2

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

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A: Given :     y = 2      z = 4x2 + y2

Q: Aati to determine if the sequence an Use the ratio is strictly increasing or strictly decreasing 6n ...

A: Explained below 

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A: Please see the below picture for detailed solution. 

Q: II. Find the derivative of the following functions. 3. f(x) = x² cos(4x³)

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Q: -dx. Using u-substitution and transformation of integrand, what is u and du? 3x- 2x Given: 3 dx A u=...

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Q: a. F(x, y) = (x – y, x + y, z²)) b. F(z, y) = (2xy", 3x²y) O . F(r, y) = (1+ ysen(x), 1 – cos(x))

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Q: pouring

A: We will find the rate of change of height. 

Q: Suppose f is a function for which f'and f" exist. You are given that: S(0) = 1 S'(0) = 5 %3D %3D f(2...

A: here we use the integration by parts see below the answer and calculation

Q: Use the formula for the binomial series: m(m-1).(m-k+1),k + ... m(m-1). 2! (1+ x)" = 1+ mx + = 1+ E=...

A: Put m=-3 in binomial series. And follow step 2nd . 

Q: Write the first five terms of the sequence, give the exact answer: +o0 n n+ 19 J. n=1 Determine whet...

A: nn+19n=1∞  

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A: We have to find the reason

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Q: Consider the function g : (6, 0) → R given by, 3x g(x) : x-6 Then we have that lim g(x) =3 . %3D x→∞...

A: The given function is: g(x)=3xx-6&limx→∞g(x)=3

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A: Given: - A travel agency charges a fixed 5,000 pesos fee for a travel tour with a group of 1 to 5 pe...

Q: Question Given the following table of values, find h'(-1) if h(x) = (x4 +p(x))°. %3D 1 0 -1 2 p(x) 1...

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Q: Then find the length of the indicated portion of the curve. r​(t)=3e^t cost I+(3e^t sin t) j−3e^t k​...

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A: Given: a curve passes through the point (1,3) and Arc length given  Find: curve

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A: Given query is to find the age of the parchment.

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Q: Calculate the work done by the force F(x, y) = x3yi+ (x - y)j along the parabola y= x2 from (-2, 4) ...

A: To find the workdone

Q: Assume the nth partial sum of a series a, is given by the following: n = 1 9n - 4 Sn 2n + 4 (a) Find...

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Q: Find an explicit formula for the general term an of the sequence.  −1,   1 3, −  1 5,   1 7

A: Find your answer below 

Q: What is y = sin (xy)

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Q: S) Is the function given by 2-4x-5 f(x)= x-5 x+1,x25 .continuous at x = 5? Why or why not?

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Q: Replace the polar equation r= with an equivalent Cartesian equation. Then identify the graph. sin 0-...

A: r=7sinθ-3cosθ       ------1 x=rcosθ y=rsinθfrom 1 rsinθ-3rcosθ=7y-3x=7y=3x+7  

Q: A triangle has vertices A (2, 3, 7), B (0, -3, 4) and C (5, 2, 4). Use vector multiplication to: a) ...

A: Given that - A triangle has vertices A (2, 3, 7), B (0, -3, 4) and C (5, 2, 4).

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Q: series. 8 8. 8 8 + + 3 32 33 34 This can be written as a geometric series in the form E cr". Identif...

A: Given: 83+832+833+834+⋯

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