determine 23 ifx+ -1 x+1 ther the function f (x) = is continuous at a = -1 by using the continuity checklist 2 ifx = -1 stify the answer.

Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use co o...

A: The given series is: ∑n=1∞(n!)n(nn)8

Q: x + 3 For which value of x is the function f(x) = x2 undefined? %3D -3 1 -3, 3 3

A: Given:- f(x) =(x+3)/(x2 -9)  To find:- Value of x where  function undefined

Q: Let R be the region inside the polar curve r = 4 and outside the polar curve r = 4+2 cos 0 as shown ...

A: Consider the figure given below : We need to calculate the shaded area from the above figure.

Q: A given partial fraction Cx +D x² +1 2x A B + (x- 1)(x+4)(x²+1) x+4 X-a A can be evaluated as: O 1/5...

A: Take LCM of the right hand side and the put x= 1

Q: Consider the function defined by f(x) = In(2a +1). %3D 1. Determine its Maclaurin series expansion. ...

A: Given that the function is fx=ln2x+1. 1) It is required to find the Maclaurin series of fx=ln2x+1. I...

Q: 1. Find the general solution of (y? – 1) = 4xy2

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Q: What is the equation of the tangent line and the normal line to y = x2 – 4x + 2 at (4,2) respectivel...

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Q: Use sigma notation to write the Taylor series about x = xo for the function. e*; xo = 4 %3D k! k=0 e...

A: By using sigma notation to write the Taylor series about x=x0 for the function.ex; x0=4  

Q: Question 6 evaluate Sa dx A -sin2x +C B -cos2r + C 2cosx + C 2sinx +C

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Q: Find the values of A, so that the function F (x) = {1-3x                         x 4    is continou...

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Q: . Express as a single logarithm: loga x + loga(x² – 16) – loga7 – log.(x- 4).

A: The given expression is logax+logax2-16-loga7-logax-4. We have to express single logarithm. To solve...

Q: dx 1 2x+3 a.

A:

Q: - Apply the eigenvalue method to find the general solution of the given system. Find also the corres...

A: Find your answer below 

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Q: What is the midpoint between z1 = 9i and z2 = 4? (2, 4.5) (-4,-9) (-2,-4.5) (4, 9)

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Q: rior to the circle Find transformation which maps outside| z | = 1, on the half plane R (w) 2 0 %3D ...

A: Given transformation which maps outside z=1 on the half plane 

Q: If a and B, are two angles in standard position in Quadrant II, find sin(a - B) for the given fun 5 ...

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Q: 7. Your friend, Jimbo, asks you for help with a homework question about derivatives, The following s...

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Q: A population is modeled by the differential equation 1.20(1 -) dP dt 4300 (a) For what values of P i...

A: Given :dPdt=1.2P1-P4300

Q: Use logarithmic differentiation to find the derivative of the function. х — 5 y = V x8 + 5 y'(x) = %...

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Q: The solution of the following separable differential equation y' = *?y-y. with y(3) = -1 is y+1 y = ...

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Q: Solve using alternating series

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Q: Question 10 evaluate ſ inx dx A secx - tanx + x + C B secx + tanx - x + C secx + tanx + x + C secx -...

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Q: Find u•v, where tetha is the angle between u and v llull=4, llvll=16, tetha=2pi/3

A:

Q: Q3) Find the volume of the solid generated by revolving region bounded by the curve (y-e*) & the lin...

A: Integral

Q: Rotate the axes so that the new equation contains no xy-term. Analyze the graph the new equation

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Q: 3 — 6 сos @ r3

A:

Q: 4. Use the method of undetermined coefficients to find a particular solution to the system below. Pr...

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Q: If xy + 4e = 4e, find the value of y" at the point where x = 0. y" =

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Q: b. Si x-2ª 3 1

A: ∫13dxx-2    =  [ lnx-2 ]13   =  ln|3 - 2| - ln|1 - 2| =  ln |1| - ln |-1|   =  0 - 0  = 0 

Q: Select all that apply. Select the functions whose value is undefined. sec 90° cot 90° sin 270° cos...

A: NOTE: Refresh your page if you can't see any equations. .

Q: Write the first five terms of the sequence with the given nth term. = sinl an a a3 as

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Q: Choose the correct graph by clicking on it. X + 3 f(x) = x2 - 9

A: Question is solved.

Q: Find ((dy)/(dx)) if y is a differentiable function of x and x^5+3y^4=x^5 tan y + 10

A: Given

Q: 3. Find a fundamental matrix for the following system. Then find a solution satisfying the giving in...

A: solve the matrix

Q: (a) If point A(2, 4, 3) is the opposite vertex to the origin, then find the coordinates of the other...

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Q: The number of cups of coffee sold at Lauren's Coffee House for each week in November is shown in the...

A: Consider   

Q: If y = cos x, then the nth derivative of y with respect to x is equal to itself if n is a natural nu...

A: 9. y =cosx nth derivative and n is divisble by 4  it means n is even number 4,8,12...ny so lets chec...

Q: А. Σ 5n –1 n=1

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Q: The graph y = cosx, given the domain -4: has x-intercepts at and 4' 4 4 A 37 and 4 4 4 and 2

A: NOTE: Refresh your page if you can't see any equations. . to find the x-intercept take y=0

Q: For the given function f(x,y)=x<y3+3x³y, find a flay O 2xy³+9x² y • 3x3y2+3x3 6xy2+9x2 O 2+18xy

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Q: - 2y +y-0 if y(0) - 3, y (0) 0.

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Q: Given f(x.y) = e X cos y, Evaluate fx(2,0) e2 cos 2 O sin 2

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Q: (b) Use the following formulas to set up two integrals for the arc length from (0, 0) to (1, 1). Obs...

A: Given query is to find the length of the curve from (-27,9) to (8,4).

Q: C -- -- 1. 7)=3tan(2x-45")-2 f(x) Реriod: Vertical Shift: Horizontal Shift Start: End.

A: Starting point and ending point is always infinity in tan function

Q: 22 Choose only two: (- A) Graph the two equations and find the points in which the graphs intersect....

A: To answer the given question about the parabolas.

Q: 2п +1 Е. У Зп +2 n=0

A: ∑n=0∞2n+13n+2    Thus,  an=2n+13n+2    Thus, we can proceed further with ratio test

Q: dx -1 2x+3

A: To solve the following integral

Q: e a calculator to evaluate. Round values to three decim: nsider the correct angle mode. sin-1 tan- (...

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Q: Solve the following equation by factoring. -5x2 - x = -4

A: