an=(tan-1(n))/n, limn->infinity an=?

Q: Find the area of the surface generated by revolving the curve 1 V1+e*, 5x 0 < x < 2 around the x-axi...

A: We can find the area of the the surface as follows 

Q: Consider the following initial value problem. The exact solution is provided for you to compare with...

A: In order to calculate y(1) we need to calculate h and solve step wise using Euler's formula.   

Q: A depositor opens a new savings account with $5000 at 8% compounded semiannually. At the beginning o...

A: Let's find. 

Q: What is the standard form of equation of a parabola with vertex at the origin and directrix x = 3? A...

A:

Q: Consider the following functions. f-((-3,-2), (2, 0), (1, – 1), (–2, –5)} and 8 = ((5,0), (0, 1), (1...

A:

Q: Find all the values of x such that the given series would converge. (x – 9)" 92 Answer: Note: Give y...

A: Given:     Limit is given

Q: Given the series (n!)3 (7п)! n=1 an+1 find the ratio an (Express numbers in exact form. Use symbolic...

A:

Q: B. If k is any real number, prove or disprove that sinkx 1. lim x-0 kx = 1.

A: We will prove this by L'Hopital's rule

Q: Suppose that someone deposits $2000 in an account that earns 4.0% simple interest. Complete parts (a...

A:

Q: 2. For f(x) = 28/3 – 4r/3, find a). the domain, b). f', critical points, | c). the local maxima and ...

A: Take f'(x) =0 for critical prints.  According to guidelines we solve only first three parts  

Q: Use separation of variables to find the general implicit solution to the differential equation. 9  d...

A:

Q: 9 Chapter 3.4, Problem 187E Express the rational function as a sum or difference of two simpler rati...

A: Concept -factorized the rational express

Q: 5. If log, x = 0.3 and log, y = 1.24, then %3D the value of log, x°y = %3D

A: logax3y3=logax3+logay3 logax3y3=3logax+3logay using the given data, we have logax3y3=30.3+31.24

Q: Find a polynomial P(x) with real coefficients that satisfies the given conditions. Degree 3; roots i...

A: NOTE: Refresh your page if you can't see any equations. . the first root is x=3+i so the second root...

Q: c) f(x) = V3sinx d) f(x) = x³tan(5x)

A:

Q: 6. Determine the y'of * y = eese 3x

A: topic- derivative of a function

Q: 9. What is the slope of the curve at the given point? Sx² + 2.ry – y² = -3 at (.2)

A:

Q: 5л? + 3х — 14 (а) f(*) %3D 5х — 4 6x² + 4/x (b) f(x) = %3D

A:

Q: (f) p(xj,...X) =E

A: Degree is n. 

Q: At (0, 3), the function f (x, y) = 1 – x³ + 6x2 + y2 – 6y has a O a) None of these b) saddle point c...

A: The given data is: At 0,3, the function fx,y=1-x3+6x2+y2-6y.

Q: Find dy/dt of y = Ssin (cost) and simpli -t -cos t cos t V1-? the

A: Given:- y=sin(cos-1(t))  To find:- y'

Q: Determine point(s) where the tangent

A: First we find out the slope of given Line and curve then find out the point.

Q: Evaluate the integral by applying the following theorems and the power rule appropriately. Suppose t...

A:

Q: Find the derivative of the function using the product rule. (a) f(x) = (x3 − 2)(6x − 5) (b) f(x) = 3...

A: First I have written the product rule of derivative and then using it and find the required derivati...

Q: Differentiate. y = 8t2 - 5t + 1 %3D

A: Given y=t28t2-5t+1

Q: Using polar coordinates, find the area of the region shared by r=6cos(theta) and r=6sin(theta)

A:

Q: 1. Find the particular solution to the following differential equations d²y а. dx2 d²y b. – 4+3y = 0...

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Q: Question 1 Estimate the area of the curve y = x from x = O to x = 3 by using 6 rectangles and left e...

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Q: Determine the function f satisfying the given conditions. f'(x) = ex/5 f (0) = 15 f (x) = A eBx + C ...

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Q: Select all that apply. Solve for x, 0<x<27 : tan x cos x - tan x = 0 2 TI EIN O O

A:

Q: How many distinguishable ways can you arrange the letters in the word ACCOUNTANCY such that all vowe...

A: topic - permutation and combinations

Q: The rate of growth of a plant is proportional to the difference between its height h and the maximum...

A: The given data is: The rate of growth of a plant is proportional to the difference between its heigh...

Q: What is the equation of parabola in standard form with focus F(- 2, – 1) and directrix y=3? A(y-1)2 ...

A:

Q: Consider the region R bounded by the line y = 42- 8x and the parabola y = 27 - x2. To find the volum...

A: We need to find volume.

Q: point is OD. (Type an ordered triple.)

A: We are asked to find farthest point from sphere.

Q: A rock with a mass of 15 kilograms is put aboard an airplane in New York City and flown to Boston. H...

A:

Q: Find the solution to the initial-value problem. y' = ey − x, y(0) = 0 y =

A: Given,            y'=ey-x , y0=0To find : the solution to the initial-value problem.

Q: 2. For the curve y = x3 + 2x² + 4 a.Solve the normal line at point (-2,4) b. Locate the possible max...

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Q: Find the terms through degree 4 of the Maclaurin series. f(x) = 5e* (Express numbers in exact form. ...

A: Maclaurin series :    f(x) ≈ ∑k=0∞ fk(0)k! xk = f(0) + f'(0) x + f''(0)2!x2 + f'''(0)3!x3+... du.v.w...

Q: (1 point) Let h(x) = f(x) · g(x), and k(x) = f(x)/g(x). Use the figures below to find the exact valu...

A: Find your answer below 

Q: The graph of Y = = Vx is given below: 5- 4 -5 -4 -3 -2 -1 1 2 3 4 5 3.

A:

Q: п+1 а) Σ п+1 (-1)"*1 п-1 00 п (-1)" b) E 3" n=1 п 00 п (-1)"(5n–1) Σ 4n+1 n=1

A: In this question we have to determine whether the series is converges or diverges.

Q: A new manufacturer of automobiles in Canada has determined that the quantity demanded of their brand...

A: Given p(x)=-x^2+6x+36    and interval 3&lt;x&lt;9

Q: Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum...

A: Given that Geometric series8+7+498+34364+...........Solution:8+7+498+34364+.......common ratio,r=78C...

Q: AT-shirt manufacturer is planning to expand its workforce. It estimates that the number of T-shirts ...

A: Given  Tx=-0.25x^4+9x^3

Q: Find the particular solution to the following equation y" + 4y' + 5y = 0 y(0) = 1; y'(0) = -3 Hint: ...

A:

Q: a) Determine the derivative of the function f(x) = (x + 1)³(3x – 5)*. Write your answer in simplifie...

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Q: Suppose that the graph below is the graph of f'(x), the derivative of a function f(x). Find the open...

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Q: 2 Solve log, (2 sinx) + log,(cosx) =-1, for 2n<x<-

A: According to Bartleby's guidelines. We are allowed to solve only 1 question ata time. Apologies for ...

Q: 7. In the sequence 20, 14, 8.e which term has a value of -70?

A: Given, 20,14,8..... The series is arthematic because constant difference Formula: Arthematic nth num...