Find g(x) 8 if g(x) = In[(x+5)³(2x-1) (4-x)]

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Q: f(x)=1/(5x+1), a=1.8

A: As we know the Taylor series:  fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+.... Where centered at x=a.…

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Q: Find the general solution of the following differential equat 121y" - 4y = 0 NOTE: Use c₁ and c₂ as…

A: Given: 121y''-4y=0

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A: A car sharing service offers a membership plan with a $40 per month fee that includes 10 hours of…

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A: To find the value of given function and their domains.

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Q: ƒ(x) = x+2 х 8 ²-1 Which of the following statements is TRUE? Ofis continuous at x = 0. Of is not…

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Q: Find the general solution of the following differential equation. 121y" - 4y = 0 NOTE: Use c₁ and co…

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Q: What is the domain of the following rational expression (include all types of restrictions):…

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Q: Given that f(x) x = -1 WA = X x + 1 and f'(x) = 1 (x+1)²' determine the critical numbe

A: Given: f(x)=xx+1f'(x)=1x+12To find the critical point of the function  Note: Critical point of a…

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Q: A particle moves along a straight line with a velocity v(t) = t²e²t meters per second after t…

A: A particle moves along a straight line with a velocity v(t)=t2e2t meters per second after t seconds.

Q: For a as follows, write the sum n = 1 a1 = and 1 19 an= an an+1 Σa as a geometric series. 'n = -19…

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Q: True or False: If X 1 (x − 1)(x + 2) dx = 3 - then B = Select one: O True O False In(x - 1) + Bln(x…

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Q: 3. Evaluate tan¹x² 1+x dx.

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Q: Two hours after the start of a 100-kilometer bicycle race, a cyclist passes the 82-kilometer mark…

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Q: Graph the trigonometric function. 5 y=- cos2x 2 Plot all points corresponding to x-intercepts,…

A: Please see the below picture for detailed solution.

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A: Assume the given integral be I. I can be integrated via trigonometric substitution by substituting…

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A: Given: Volume of right circular cone is V= πr2h3 and dVdt=30 cubic feet per minute To find: dhdt

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A: Given:

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Q: r(t) = ti + (2tt2) intersect the paraboloid (2) At what points does the curve r(t) z = x² + y²?

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Q: Two hours after the start of a 100-kilometer bicycle race, a cyclist passes the 82-kilometer mark…

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Q: 18 (x² +9) (x+3) -dx

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Q: Consider a horizontal parabola of the form ay² + by + c = x where a 0, and whose graph contains the…

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Q: Solve for (a)(ii)

A: Solution:∫π2πsin42x1-sin2x32dx∫π2π24sin4xcos4xcos2x32dx∫π2π24sin4xcos4xcosx3dx∫π2π24sin4xcos4x-cosx3…

Q: Complete detailed solution. What is the derivative of 6 f(x)=(√2-1)(3√x+1)

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Q: Find the determinant of the matrix by reducing A to a triangular matrix. A = -1 2 3 1 1 2 1

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Q: 1 好好 0

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Q: The result of the integral 4 / (x - 1)(x + 1) is equal to -dx Select one: O none of these. ○ In…

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Q: Find the area of the given region. y = sin(x) R|C I

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Q: The result of the integral / is equal to 8 (x − 2)(x + 2) - -dx Select one: ○ In |x − 2] − In |x +…

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Q: nauna Question 5 of 10 x²+x-6 runa Una JnaUnaUnaUnaUna lim Evaluate the limit 2x2-x-

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Q: he total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.05t3…

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Q: f '(t) = 10 cos(t) + sec2(t),    −?(pi)/2 < t < ?(pi)/2,    f(pi/3) = 4 find f

A: Taking anti-derivative,