Which of the following series converge? I. E 2 II. E III. E1 A) I only. B B) None of them. C) Il only. D) II only. E) II and III.

Q: Use the binomial series to find the Maclaurin series for the function. f(x) = V1+ x %3D 00 f(x) = 1 ...

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. d.x +C Væe(20...

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Q: Situation 1: Find the area bounded by the curve x^2 = y + 2 and the line x + y = 0 1. Using Simpson'...

A:   A=∫-21 (-x-x2+2) dxA=[2x-x22-x33]-21 A=2(1+2)-12+2-13-83 A=112 A=5.5 square units

Q: Consider the linear programming problem: Мaximize P-х +1.2y Subject to 2x + y < 180 (constraint 1) x...

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Q: 3/2 X2 dx

A: 1.∫x32tan-1(x) dxlet x=tdiff o.b.s12xdx=dt dx=2t dt∫t3tan-1(t) 2t dt=2∫tan-1(t) t4 dtwe know that ∫u...

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

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Q: Find the percentage error in computing u = Vx at x = 2.45, when x is 4

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post ...

Q: Consider the following sequence: 5" {an} = n=1 An+1 Use the ratio to show that the given sequence {a...

A: Given sequence an=5n2n2n=1+∞

Q: 2n n+1 lim n A) e

A: Given,            limn→∞n+1n2n

Q: Find the equation of the tangent plane to z=e^y+x+x^3+5 at the point (5,0,136)

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Q: Why is there a need to solve for integrating factors?

A: We solve easily by using integrating factors. 

Q: 3. Find dx dy d²y and y 1+t and if x = %3D dx2 1+t

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

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Q: 8- 2x (f) lim X4 x -x-12 +16 –4 (g) lim X-0 x' +8 lim- X-2 x+2 (h)

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Q: For x, y > 0, the function f is given by ƒ (x, y)=2In| Find the partial 1. derivatives f, and f..

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Q: Evaluate the integral 4x4- 12x2 +7 xdx.

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Q: Determine the function represented by the graph -2m 7m 8m

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Q: Question Define R as the region bounded by the graphs of the function f(x) = x – 1, the x-axis, x = ...

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Q: The sum of the series n2n+1 -1)" 9n+1(2n)!

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Q: Using Figure 1, complete the following function. Figure 1 tane = %3D O v/r u/r O r/u O r/v O vlu u/v

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Q: Find the area of the region enclosed by the graphs of: y? = x+5 and y2 = 3 - x. 32 A) 3 16 B) 3. 64 ...

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Q: a. Show by means of slope that the four points (0,0), (-2,1), (3,4), and (5,3) are vertices of a par...

A: This is a problem related to geometry. For parallelogram opposite sides are parallel to each other. ...

Q: d?y Find dr2 for the functlon: .3 3x +4x y=x

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Q: sin(2a)dx + cos (3y)dy 3 0, у(т/2) — п/3 ||

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Q: The integral that represents the arc-length of the curve y = In x, xE [2,3] is: %3D 3 x2+1 dx. Vx2+1...

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Q: tan²(x – 2) +2 sin(x – 2)4 Evaluate: lim

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Q: Evaluate: dx. x-2 A) In 3 - In(-2). B) The integral diverges. C) In 3 - In 2. D) - In 3 + In 2. In 3...

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Q: Find the specified limit. f(x) - x+2, x > -1 lim f(x) ?

A: The given function is            f(x) = x2,  x&lt;-1x+2, x&gt;-1 We have to find the following limit...

Q: A certain substitution gives: So cot" x csc* x dx =-u² - - u*du %3D What is n? A) 7. B) 5. C) 4. D) ...

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Q: 2.

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Q: Using Figure 1, complete the following function. (-8, - 6) Figure 2 cose = 4/5 -3/5 3/5 -4/5

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Q: x - 36 lim X6 x+6 (a) Vx +11-4 (b) lim- x-5 (c) lim- X-2 2-x (d) x' +6x +9 lim x+3

A: a) limx→ -6 x2-36x+6 =limx→ -6 (x-6)(x+6)x+6                     ( using factorisation              ...

Q: 2. f(x) = Va +æ + 1

A: Here, the given function is: f(x)=x2+x+13 Now, f'(x)=13(x2+x+1)13-1(2x+1)        =13(x2+x+1)-23(2x+1...

Q: Solve the equations: 8х - 2у - 13 -2x +5y- 8.

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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: Find the average rate of change of f(x) = 9x² – 6 on the interval [5, t]. Your answer will be an exp...

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Q: If the Taylor series of f (x) at a = 3 is (x- 3)" 2"(n + 2) n=0 Then f(4 (3) is: A) 24x6 4! B) 24x6 ...

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Q: y considering different paths of approach, show that the function below has no limit as (x,y)→(0,0)....

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Q: Find the Fourier f (x

A: Solving

Q: Using Figure 1, complete the following function. (-8, - 6)* Figure 2 sece = -5/4 -5/3 5/4 5/3

A: Given query is to find the indicated angle.

Q: CONTINυITY (c) The function f (x) is defined in the interval [-1,6] by 3-x, -1<x<2 f(x) ={ x - a, 25...

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Q: de = x² – 2x +2 dy

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Q: Find the nth Maclaurin polynomial for the function. f(x) = e¯X, n = 5 Ps(x) = %3D MastarIt

A: Given

Q: 00 For which values of p does E converge? (n° +7)" n=1 (Use symbolic notation and fractions where ne...

A: Given problem:-

Q: Let a > 1. Find the area of the region bounded by y= 5(x– a) and y = x –a.

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Q: Use any method to determine whether the series converges or diverges. (k!)° (9k)! O The series diver...

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Q: Consider the function f(x) = /4-x +1 for the domain (-00, 4]. Find f(x), wheref is the inverse of f....

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Q: 7. What is dx (x six(x)?

A: Since you have asked multiple questions in a single request we would be answering only the first (7t...

Q: Consider the series >. 1 1 and 1 n312 n=1 n3 + 6n n=1 Write an inequality comparing 1 1 to for n 2 1...

A: We know, n³+6n-1≥n³ for all n≥1    

Q: (b) Given that f(x) = 8(x*) g (5) = 3 and g(5) = 5, find the value of f (5).

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