Given the series 3" Σ n=1 antl find the ratio an (Express numbers in exact form. Use symbolic notation and fractions where needed.) ant1 an Use the Ratio Test to determine the correct statement. The series converges. The series diverges. The Ratio Test is inconclusive.

Q: Write an equation for the function graphed below.

A: A graph is given in the question which is passing through point-10,0, -4,0, 0,10 and 6,0 andx=-3 and...

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A: ----------------------------------------------------------------------- w=watersides=shore sideAC=40...

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A: position vector of particle in space r→(t)=12(5-t)2i→+(2t-1)j→+43(5-t)32k→

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

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Q: 2- 1l71 2 3 4 5 6 7 ++ 89 -1 -2 -3 -4 -5 -7 -8 What is the equation in general form of the ellipse w...

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Q: 11. Determine three positive numbers x, y and z whose sum is 10 that produce a maximum value for the...

A: Given problem:- Determine three positive numbers x, y and z whose sum is 10 that produce a maximum v...

Q: V1-(6x2+7x–2)² 3 1-(6æ²+7x-2)²

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Q: If f(x)=5x2, and g(x)=f−1(x), what is the slope of the curve g(x)=f−1(x)g(x)=f−1(x) at the point (5,...

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Q: (a) Find an equation of the tangent plane to the surface of z = ye(3ry-y²) at (-1, –3, –3). (b) Give...

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Q: The graph of the equation 3x2 +2y2 +6x-16y+F=0 is either an ellipse, a point or an empty set. What s...

A: Equation of ellipse is (x-x1 ) 2 /a2+ ( y-y1)2/b2 =1

Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. + 8) n= 1 li...

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

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Q: Find the equations of a Tangent line in a given curve to the given value of x. * -1 y =tan x, x = 1

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Q: Find the indicated vector. Let u = (8, 3), v = (8, -6). Find v - u. (-5, -14) (16, -3) O (-14 5) O (...

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Q: prove tany csc3-tanX =cos x CSCX Sinx tanx tcosX-

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Q: The number of yeast cells in a laboratory culture increases rapidly initially but levels off eventua...

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Q: Find the magnitude of u x v and the unit vector parallel to u x v in the direction of u x v. u = 2 i...

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Q: 5. Consider the graph of y = 7-3x2. Calculate the area enclosed by the curve y= 7- 3x and the x-axis...

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Q: Evaluate the following limits. 1. lim cos2x = X- 2. lim tan3x = 4 3. lim[log3 2x] = %3D

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Q: Fnd the stope-intercept equation of Ine L tirongh (4,1) and parallel to the line 4x-24 =5.

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: Evaluate the following indefinite integral using a table of integrals. Use C for any constant of int...

A: First we put x6=t and differentiate both sides with respect to t and find the integral.

Q: Express the sums in sigma notation. The form of your answer will depend on your choice for the start...

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Q: Q4 Let f : R → R be the function defined by 1 f(x) = a) Is f is one-to-one? If yes, then explain why...

A: topic - onto functions

Q: sin(In r) 5. Use the Squeeze Theorem to evaluate lim 1-40+ In (sin z)*

A: Solution is given below:

Q: Determine the solution y(x) of the initial value problem dy = 6xy, dx y(0) = 7 and state the interva...

A: Given:     dydx = 6xy        , y(0) = π

Q: Find the solution to the initial-value problem. y' = 2xy(1 + 3y), y(0) = −1 y =

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Q: Principal Compounded semiannually The principal represents an amount of money deposited in a savings...

A: Given table:- Principal Rate compounded  Time $ 6000 8℅ semiannually 5 years   To find:- The...

Q: 8х — 3 dx x4 + 16x²

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Q: Use separation of variables to solve the differential equation explicitly for u. du dt = 3 + 3u + t...

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Q: Find the first, second, and the third derivatives of the following functions: f(x) = (-x* + 4) . -4x...

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the quest...

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: A. Evaluate the following limits. 1. lim cos2x = 4 2. lim tan3x 3. lim[log3 2x] %3D

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = 2xy – x - 4y² +...

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Q: ne demand function for a company's product is p = 24e-0.59 where g is measured in thousands of units...

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Q: The general solution to the initial value problem y′′+4y′+4y=0, y(0)=2, y′(0)=1 is y=c1ert+c2tert...

A: If the roots m1,m2 =m are real and equal of the auxiliary equation then complete solution is  y = c1...

Q: In how many ways can ten people be seated around a circular table if three of them insist of NOT sit...

A: Given problem:- In how many ways can ten people be seated around a circular table if three of them i...

Q: Find the equations of a Tangent line in a given curve to the given value of x y=tan^-1 x, x=1

A: NOTE: Refresh your page if you can't see any equations. . here we have x=1 so the point on the gr...

Q: ³ +5 dx r4 – x3 + x²

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Q: DETAILS LARCALC11M 9.6.044.MI. Use the Root Test to determine the convergence or divergence of the s...

A: Let's find. 

Q: Find the average rate of change of the function f(x)= −6cos(x/4), from x=8 to x=8.34.  Note, the di...

A: Given:     f(x)= −6cos(x/4), from x=8 to x=8.34. 

Q: et+1 g(æ) = x + 1

A: Given that gx=ex+1x+12To find : g'x Solution : gx=ex+1x+12g'x=2ex+1x+1ddxex+1x+1g'x=2ex+1x+1ex+1x+1-...

Q: Set up the integral to find the length of the curve f(x) = V1 – 2? for 1/v2 <x < 1.

A: Please see the answer below.

Q: f(t)=t2 and g(t)=t, then the Wronskian W(f,g)(t) is: (A)-t2 (B) t-t2 (C) t (D) t2

A: Given query is to find Wronskian W(f,g)(t).