Which of the following is cluster point of sequence a O A. 0 O B. -3 O C. 2 O D. All of the above choices are correct. O E. None of the above choices is correct.

Q: 17. Let f(x) - (x- 3)Show that there is no value ofc in (1,4) such that /(4) not contradiet the Mean...

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Q: Express the following as a vector valued function 7 (t). 1. The line L defined by y+3=3x and z+1 =0 ...

A: We will express the line L defined by y+3=3x and z+1=0 hyperbola -x2-2x+2y2+4y=-2 as a vector valued...

Q: 2 tan(4x-1)–3 cos²(4x-1) dy cos(4x-1) 4. If we let u = 4x -1 for the ', what's going to be the resul...

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Q: Evaluate the integral dx 2xx - 3x?

A: To find: The integral ∫dx 2xx3-3x23 Concept used: ∫1-v2+1dv=lnv+12-lnv-12

Q: Find the radius of convergence of the power series. (If you need to use o or -0o, enter INFINITY or ...

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Q: 14. If we let u = 4x – 1 for the (2tan(4x-1)-3 cos“(4x=1) dx. what will be the cos(4x-1) resulting f...

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Q: e2t+a (2 cos at – 3 cosh 2at) -

A: We have to find Laplace transformation. 

Q: -5 dx Evaluate 2х — 10 (а) — оо (c) 1/2 (d) 0 00

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Q: 1 |dz 4z

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Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

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Q: Evaluate the integral dx S 2xx - 3x2

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Q: 7. Using integration by parts evaluate the integral /(z- 2x)e-3 dz

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Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)5 f(x) = 8.

A: The given function,        f(x)=11+x5

Q: %3D (e) The characteristics of uz + Uyy = 0 are given by: dy (A) dx dy =-1 and (B) dx %3D = -1 dx dy...

A: Given:uxx+uyy=0

Q: 5. y = - 5 log , (11x - 4) 6. y = 2 log e 4x°3 7. y = 12x² log 8x 8. y = In 25x 5x3

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Q: 6. Which of the following is not true about function? a. Function is composed of two quantities wher...

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Q: 14. If we let u = 4x – 1 for the s²tan(4x-1)-3 cos"(4x-1) dx. what will be the cos(4x-1) resulting f...

A: This is a integration problem

Q: dx du 3. The integral reduces to k=, where u = f(x) and for some +1 constant k . Compute f(1). (a) (...

A: Given :∫dxex+1

Q: The graph of an everywhere differentiable function is shown below. Use it to select the correct ineq...

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Q: Find the interval of convergence of the power series. (Be sure to ine your answer using set notation...

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

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Q: du Form Answer u 10 20. Given: Tdx a) 3 a" du Find: formula b) | a"du c) a"du d) a"du

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Q: 23. If u = f(x), then +2x² + 1 k + C for some constant k . x² + 1 Compute kf (1). (a) ¼ (b) – ½ (c) ...

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Q: 2. (а, By completing the square, show that 1/2 d.x x2 – x +1 3/3 By factoring x³+1 as a sum of cubes...

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = n = 4, c = 5 x2'

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Q: 1. How many terms are there in an arithmetic sequence with first term 10, common difference of 2, an...

A: Note: As per our company's guidelines we are supposed to answer the first question only. Kindly ask ...

Q: 72. Existence of integrals For what values of p does the integral dA exist in the following cases? a...

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 3 P (X) –

A: Taylor polynomial of 4th order of function fx at a is defined as: fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x...

Q: d*y 4. Find 5 of the function f (x) = - e dz"

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Q: 4. If u = f(x), then k +C for some constant k. dx = x* + 2x2 + 1 x² + 1 Compute kf (1). (a) 4 (b) – ...

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Q: Ind the Fadlus of convergence of the power series. (If you need to use ∞ or -o, enter INFINITY or –I...

A: Given query is to find radius of convergence.

Q: -2r 2. Find de/dr of the function 0 = (cos(r))

A: Given problem:-

Q: Find the absolute maximum and minimum values of f on the set D. f(x, y) = x2 + y2 + x²y + 5, D = {(x...

A: We will use the following concepts       

Q: dx x² Vx²-1 -2.

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Q: EXAMPLE 1 Finding a Volume Find the volume of the region D enclosed by the surfaces z = x? + 3y? and...

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Q: Sketch the curve of y= 3x-10x³-12x²-7

A: The objective is to sketch the graph.

Q: dx x Vx²+2x-1

A: Evaluate the integral∫1xx2+2x-1dx

Q: Is the series divergent or convergent? With complete solution and explanation +o0 (-1)" n! n=1

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Q: Suppose you have a dataset with m = 1000 examples and n = 200000 features for each example. You want...

A: Explanation of the answer is as follows

Q: Find f'(x) for the following function. Then find f'(6), f'(0), and f'(- 7). f(x) = - 4x + 5x

A: Given,             fx=-4x2+5xTo find : f'x , f'6 , f'0 , f'-7

Q: ²+2x 5. Sketch the curve: y? x-1

A: The graph of the given function is plotted below.

Q: 1+ In x 6. Find f(x) so that when u = f(x) the integral J tan(f(x)) dx can be rewritten as | cot u d...

A: This can be evaluated as follows:

Q: 45-48. Average values Find the following average values 45. The average distance between points of t...

A: Here, the given disk is: R:{(r,θ):0≤r≤a} which is a circle x2+y2=a2 Therefore, the average distance ...

Q: 7. This problem requires calculus. Let P = {a,x" + an–1x"-1 + ...+ a1x + ao | n > 0, ao, . ., an E R...

A: Given P is a set of polynomial function of degree n of real co-efficients and a function F:P→P such ...

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) - In(x), n- 4, c-4 P(x) -

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Q: Use the difference an+1 – An to show that the sequence {n – 8"}=1 is strictly increasing or strictly...

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: It is a series expansion problem

Q: Problem #2 Use Cramer's Rule to solve the given linear system 2x-y 5 x + 3y =-1

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Q: f(x) = { * ах 2 + ах —4, х> 2

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Q: 1 6. Evaluate the given integral using suitable substituion COs(V도+ 3) dr

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