**....... A rectangular parking lot with a perimeter of 440 feet is to have an area of at least 7000 square feet. Within what bounds must the length of the rectangle lie (in feet)? (Round your answers to two ................ decimal places. Enter your answer using interval notation.)

Q: Compute the value of the improper integral. (If the integral diverges to oo, type o0; if the…

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Q: 2m – 2 2m ΣΗ т+ 1 т + 21 m=2 Is it divergent or convergent? 8.

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Q: For the series below, (a) find the series' radius and interval of convergence. For what values of x…

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Q: Find the derivative/s of the given item. Final answer should be simplified. dy Find dx if yvx – 8 =…

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Q: In Sx-/25+> 25+ x2 dx , we let x = 5sine. (A True B False

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Q: TOPIC/S: Partial Fraction Decomposition 2x3 — х2 + 2х — 2 dx 2x + 2) х?(x2 — -

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Q: 2.x3 – x² + 2x – 2 dx x² (x² – 2x + 2) - -

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Q: (cos2y — Зx? у?)dx + (сos2y — 2xsin2y — 2x3y)dy %3D0 - |

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Q: ( sec' 0 tanede

A: Follow the procedure given below.

Q: The plane N contain the points P(1,–4, –5) and Q(2, 1, –3). Moreover, it contains the line 1 3 -x =…

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Q: 8. [sin? x cos' x dx Ssin*

A: (8). Given: I=∫sin2xcos5xdx   As we know from the trigonometric identity; sin2x+cos2x=1 And The…

Q: Determine if the two given converges or diverges. { п n 2n + - 1/ n=1 Σ n n \2n + 1 n=1

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Q: GIVEN THE FOLLOWING POWER SERIES REPRESENTATION BELOW: x4 + 4! Cosx = 1 - + 6! .. 2! (-1)"x2n (2n)!…

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Q: A. LIMITS Limr - 25 1.) lim VE – 2 2.):-4t-4 x-5 x-5

A: Here we have to find the limits.

Q: Determine whether the following series is convergent or divergent full solution pls and write what…

A: The given series,          ∑n=1∞3-n4n34

Q: nd the derivative/s of the given item. Final answer should Find if yvx- 8 = xy + 2 %3D dx

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Q: xdx S- can be solved by either algebraic subsitution or integrataion by parts. X-1 A True B) False

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Q: QI) Evaluate the integral dy dx using polar coordinate

A: To evaluate the given integral using polar coordinates .

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: Solve for the general solution of the following differential equation and determine whether it is…

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Q: There are true statements of f(x) = 5(x4 – 4x³) , except ... Pernyataan yang salah mengenai kurva…

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Q: + inf 1 п2 — Зп + 2 n=3

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Q: + inf 1 Σ п2 — Зп + 2 n=3 W

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Q: 2 [ (e² + 1)² dx et

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Q: CoS cos³ 0 5./ d0 1-sin0

A: Given problem:- ∫cos3(θ)/(1-sin(θ)) dθ

Q: Using homogenous differential equation determine the particular solution of

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Q: 1. Evaluatef(3x + 2)dx A. 3x2+2x + C B. 2x + 2x +C c. 2+2x + C D. x² + 2x + C

A: As per guidelines we can solve only one question at a time so if you need more answers kindly repost…

Q: 2. Use integration by parts to evaluate the following. (a) Sxtan-1x dx

A: ∫x tan-1x dxusing integration by parts∫u.v = u∫v - ∫u'∫vu =tan-1x , v= x∫tan-1x . x dx=tan-1x∫x dx -…

Q: eries 1)" 2 + 5 rmine if the resulting series of constant terms wh ely convergent, conditionally…

A: We have to find the following conditions according to the given information

Q: Use synthetic division to show that x is a solution of the third-degree polynomial equation, and use…

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Q: (-1)" V2n2 + 5 Given: power series > (x + 1)" n=1

A: Radius of convergence of a power series of the form ∑n=1∞anx-an  is given by R=limn→∞anan+1 For…

Q: LINEAR EQUATIONS WITH CONSTANT COEFFICIENTS 1. (9Dª + 6D³ + D²)y = 0 2. (4Dª – 45D² – 70D – 24)y = 0

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Q: Use tabular method to evaluate ƒ –2x³e¬5×dx

A: Solution is given below:

Q: 1 dt. o t4 +5 Let f(x) = Find the derivative f'(x). none of the choices ex e2x

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Q: Consider the function f(x) 5x + 1 (a) Find the Maclaurin series of the function f(x), stating your…

A: Let's find.

Q: (-1)" V2n2 + 5 Given: power series (x+ 1)" n=1 Determine if the resulting series of constant terms…

A: To solve the following problem

Q: B.) Function; x- 2x - 15 3.) f(X); f(5) = 4.) f(t) = f(3000) = 3000 X- 5

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Q: { II. Consider the sequence í n+ 2)! J n=1 a.) Show that the given sequence is monotone. b.) Use the…

A: Here, the given sequence is: πn(n+2)!n=1∞ Let, an=πn(n+2)!

Q: 4. sin x dx

A: As you mentioned problem number 4 solved

Q: 10. [ tan 0 de 12.f cos do 3

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Q: Given the differential equation xy y'=2 and the initial condition y(a) =3, what is the the value of…

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Q: Consider the following Maclaurin series: (-1)"x²n (2n)! cos x = for all x E R. n=0 1. Let f(x) =…

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Q: Find the derivative. f(x) = 2^x {ln[cot(x)]}^2

A: f(x) = 2x*(ln(cotx))2 here we use chain rule  d2x/dx = 2xln(2) d(u*v)/dx = vdu/dx +udv/dx…

Q: (a) Find: L{(e + e*)?} -t (b) Find : L 2+11 } 2s (c) Find: L{421

A: a) Le-t+e3t2Le-t+e3t2=Le-2t+2e2t+e6tF(s)=Le-2t+2Le2t+Le6tF(s)=1s+2+2s-2+1s-6F(s)=1s+2+2s-2+1s-6

Q: what series is this?  ln (5/4) + ln (6/5) + ln (7/6) + ln (8/7) and should I do to know if it's…

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Q: Which of the following vectors are not linearly independent? 日L O B O A

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Q: Q4) Find plane area inside the polar function r 2 and outside the polar function sin -0) +1 in first…

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Q: x² dx J (² – 25)5/2

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Q: Please

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Q: 4х —Зx2+2х-1 Solution of lim is .... хэ0о 5x3+14x2—7х+2 4x5—3х2+2х-1 Nilai dari lim adalah .... х>0о…

A: The given limit is: limx→∞4x5-3x2+2x-15x3+14x2-7x+2