Determine if the series converges or diverges. n=1 4+n3 The series (coverges/diverges) using the method/test known as

Q: 4. Ifu = f(x), then : dx = J x* + 2x² + 1 k + C for some constant k. x² + 1 Compute kf (1). (a) ¼ (b...

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) x2 n- 4, c-2 P4(x) -

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Q: The number of licensed drivers in a country (in millions) can be approximated by the function g(x) =...

A: Here, the given function is: g(x)=178.277x0.065 where x is the number of years and g(x) is the numbe...

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Q: Evaluate the integral cot 2x S- Vcot2 2x – 15 V cot? 2x

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Q: 4. Find the equation of a line tangent to f (x) = –x² – 4x at x = -1.

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Q: Calculate the respective marginal functions for the following total cost/revenue functions. you stat...

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

Q: For the following functions find the nth Taylor polynomial centred around a. 1). f(x) = e, n = 4, n ...

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: dx For the integral , which of the following options is correct? A. lim (x – 1)½|" + lim (x – 1) | B...

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Q: V9 – x2 Let R be the region bounded by the curves Consider the function f(x) = 3 y = f(x) and y = 0 ...

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Q: dx x Vx²+2x-1

A: Evaluate the integral∫1xx2+2x-1dx

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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: ces 3. Find dæ/dy (watch out!) of the relationship 3-5% + sin y = In x + Vy3

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Q: Use the binomial serles to find the Maciaurin serles for the function. 1 f(x) - (1 + x) Σ (x) = %3D

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Q: f(x) = 3x? + 8 x = 5 21 6 30 -5 2 | f(x) = x³ – 2x² * = 2 3 f(x) = -x? + 3x + 9 15 4 2 3 *= -6 | f(x...

A: As per our guidelines we are supposed to answer only ? 3 sub- parts ( if there are multiple sub- par...

Q: dx x² Vx²-1 -2.

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Q: SV + 2) /2 – 3y dy -

A: The detailed solution is given below Thank you 

Q: Find an equation for the graph sketched below 8- 7- 5-

A: Given: - The graph is, To find: - The equation for the graph.

Q: dx The integral | can be rewritten as V1. - X (a) lim (-2+2v1 – s) (b) lim (-1+2v1 – s) S--00 S--00 ...

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Q: The supply and demand functions for a product are S x)( = 3x + 9 and D x)( = 30 − 4x respectively, w...

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Q: Evaluate the double integral. eln 3 3 7 dx dy In x ey In 3 3 7 dx dy = (Type an exact answer in simp...

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Q: Use sigma notation to write the Maclaurin series for the function 11 In(1 + x) -1*+1. 11 · k = 1

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Q: 15-16 Find the number e that satisfies the conclusion of the Mean Value Theorem on the given interva...

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Q: A function f(x) that is discontinuous at a point x = a in its domain may still have a limit that exi...

A: Given statement: A function f(x) that is discontinuous at a point x=a in its domain may still have a...

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Q: y(x^2+y^2-1)dx+x(x^2+y^2+1)dy=0 solve using integrable combinations

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Q: Find F. dr, where F = 3yi – 8x3+ (8y – 8x)k and C is a - circle of radius 8 in the plane x + y + z =...

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Q: V9 – x2 Consider the function f(x) = 3 Let R be the region bounded by the curves y = f(x) and y = 0 ...

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Q: Show solution/process. 1. f(x) = 2x² – 4x + 5 at the point (–1,11) 2. f(x) = v25 – x² at the point w...

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

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Q: Question 2 Which among the following is an improper integral? 2 1 dx x[In?(3x) – 4] Inx dx le? x[In*...

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Q: A particle moves according to a law of motion s = f(t) t > 0, where t is measured in seconds and s i...

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Q: dx - (1 + 2x tan y) dy = 0

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Q: Consider the function below. Is g continuous on (0,1]? on (1,4]? why or why not? if æ 4.

A: Explanation of the answer is as follows

Q: Find the solution of the following initial value problem: An 14a,-1- 49an- 2; ao = 0, a1 = 6 %3D an ...

A: Let us take an=rn. So, the characteristics equation will be       r2-14r+49=0⇒r=7, 7 Further, we hav...

Q: 1. One of the following is an improper integral CA In 3 cIn 2 dx xp 4 – ex 2x + 1 JIn 0.5 ' In 2 dx ...

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

Q: (f) One of the following functions is harmonic: (A) (z + y)² (B) x² + y? (C) 고-y (D) (x – y)?

A: To determine which one of the following functions is harmonic.A x+y2B x2+y2C x2-y2D x-y2  

Q: (2y^2+3xy-2y+6x)dx+x(x+2y-1)=0 Solve this differential equation

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

A: The given question has been solved in detail Absolute Maximum value is 8 Absolute Minimum value is 2...

Q: The resale value R​ (in dollars) of a company car after t years is estimated to be given by R(t)=22...

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Q: Find the nth Maclaurin polynomial for the function. f(x) = e, n- 5 Pglx) =

A: f(x)=e-x, n=5 Now P5(x)=f(0)+f'(0)1!x+f''(0)2!x2+f'''(0)3!x3+f''''(0)4!x4+f'''''(0)5!x5 f(x)=e-x,f(0...

Q: D Express the interval in (a-k, a+R) aad 1 x.-alc.R I(3x+1)?(<!

A: |(3x+1)2| &lt;1 both side we take square roots |3x+1|&lt; +1 3x+1 &lt;+1 3x+1&lt;1    or    3x+1&lt;...

Q: Homogeneous Equations [x csc() – y] dx + xdy = 0 O In = cos() In/cos(;)| = = CX

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Q: Evaluate the integral dx 2x리x-3월 x2 1 3 + V2x In A + C 2/3"3 - V2 | ® In(2x x - 3{x²) +c 1 In + C 2/...

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

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Q: Suppose a sample of a certain substance decayed to 73.6% of its original amount after 300 days. (Rou...

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Q: -8 Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval....

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Q: (Arcsec sinx)? –9 dx Evaluate cot x, sin?x – 1 Isec-isin xv(Sec-'sin x)* – 9 – 3In|Sec-'sin x + V(Se...

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Q: 1 dx. 10. Evaluate the improper integral m 64 + z²

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