Find the nth Maclaurin polynomial for the function. 4x - 1 f(x) : n = 4 x + 1 Pa(x) =

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

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Q: 15. Find dr/d0: r = 4 – 02 sin 0 а. 20 sin @ - ө2 cos @ b. 0 cos e – 0² sin e - c. O sin e – 02 cos ...

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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: A calculus instructor uses computer aided instruction and allows students to take the midterm exam a...

A: see below the answer and explanation

Q: n+ In (3) Given the sequence Then the limit lim a = a n- 00

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Q: Find the Maclaurin polynomials of orders n = 0. 1.2.3, eand 4 and then find the nth Maclaurin polyno...

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Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dim...

A: Solution is here

Q: Eliminate the arbitrary constant: ry = C(x – 1)(y – 1)

A: Differential equation

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

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Q: Consider sequences (-1)"n Зи — 1 (i) cos a n n+ 3n (ii) 3n2+5 Which of the following sequences diver...

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Q: A. Evaluate the sum using the properties of summation. 1. Σ1(n + 1)

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

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

A: Using Bernoulli equation. Follow step 2nd . 

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Q: Solve the differential equation with appropriate method. Finalize answer free of fractions in each t...

A: According to question,Given differential equation,y4x + y  dx -2x2 -y dy = 0

Q: 6. Suppose a bakeshop purchased an equipment worth P 100,000 equipment, which was expected to last f...

A: Cost of the asset = 100,000 Salvage Value = 8,000 The useful life of the asset = 5 years Depreciati...

Q: (a) The eigenfunctions of the following eigenvalue problem: X" + XX = 0, X'(0) = X'(#) = 0 %3D are g...

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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: Suppose u and v are differentiable functions of x. Use the given values of the functions and their d...

A: As we know that the derivative of uv form is given by ddxuv=u'v-uv'v2 see below the answer and calcu...

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: 1. F- x/x is a weekday) Roster Method 2. G- (1, 2, 3, 4, 5, 6, 7, 8, 9, 10) Verbal description metho...

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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: dy = ky fits this population growth, express the dt A recent report by a country's census predicts t...

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Q: I have 1 yard piece of fabric with 45 inches width. I am planning to make hand towels out of it. If ...

A: Measurement

Q: II. Create a table of values for the function and use the result o estimate the limit. You are allow...

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Q: IV. Constructing. Construct the table of values, graph the function and find the indicated limits ea...

A: 1. limx→+∞3x2. limx→-∞4x

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: dx 2х — 10 15. Evaluate A. Ο В. 1/2 С. C. 00 D. - 00

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Q: 6. Find f(x) so that when w fG) the integral 1+ Inx dx can be tan(f) cot u du. rewritten as (a) x+ 1...

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Q: 2. Let dx be given . If u = e* + 1, then the resulting integral is f(u) du. Compute f(3).

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Q: 3x - 7x- 4 Find the derivative of y= .2

A: The objective of the question is derivative the given function.

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: Use the table of values to calculate the derivative of the function at the given point. 1 4 6. f(x) ...

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Q: One of the following is an improper integral. - In 3 e* dx 4 – ex dx In 2 xV16 – In x dx cln 2 dx x ...

A: In this question we have to find the value of Improper Integral. Note: As per our policy we are supp...

Q: I. Determine whether the series converges using any appropriate test. Identify the test for converge...

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Q: 5. у %3D 88 8x + 888 6. у %3D 2021 7х'6 7. у %3D 5x3 е 4x -5 8. у %3D 20 е -4x x2 - 10

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Q: The number of tree species S in a given area A in a forest reserve has been modeled by the power fun...

A: S(A)=0.882A0.842S'(A)=0.882×0.842×A0.842-1 S'(A)  =0.743A-0.158

Q: 6) A function y =e-2x is defined numerically for some data range x. It can be entered using: (а) у -...

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Q: E. (a) Approximate the function f(x) = Vr by a Taylor polynomail of degree 2 at a = 8; %3D (b) How a...

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

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Q: e Σ k=1 3.

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Q: ON 3 sec3(In x) + sec2(In x) tan(In x) 2х n x) tan(In x) n x) dx c³(In x) + sec²(In x)

A: We have to choose the correct option according to the given information

Q: rectangular carpet has an area of 220 yd^2 .The width of w is 9 yards less that the length l.find th...

A: Options are wrong I have given you correct answer

Q: Find the Taylor polynomials of orders n = 0.1,2, 3. and 4 about 2 = x, and then find the nth Taylor ...

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Q: Evaluate the integral S dx 2x3 - 3xx 1 -In 2/2 "I/3x + /2 +C En(2 { x³ - 3x x)+c 1 V2 + V3x -In + C ...

A: First we take common x3/4 then put√x=t  And using integration of 1/a2 - x2

Q: Let P(x) = F(x)G(x) and Q(x) = F(x) where F and G are the functions whose grap G(x) y F 2 -1 4 8. Fi...

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

A: see below the answer

Q: 2022" + n 2022 (d) lim sin 2022! + n!

A: We have to find: limn→∞sin2022n+n20222022!+n!. We can take the limit inside of sin as the limit is o...

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