Question Evaluate the following limit using L'Hospital's rule. 72 6x lim -4 Lx? – 5x + 4 Provide an exact answer. Provide your answer below:

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Q: Construct the fourth degree Taylor polynomial at x= 0 for the function f(x) = 3 =3/1+x. P4(x) =|

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Q: how do i solve this calculus question ?

A: In the given problem we have to find out that whether sequences are monotonic are not .

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Q: Describe the shaded sector in the figure by inequalities in r and 0. y 45° Assume that the radii of…

A: In the given shaded region the value of radius is varying from 0 and goes upto the value of radius…

Q: Let g(x, y, z) = %3D Vx? +yZ +zZ Let 3 ターx? V9-x2-z2 V9-x2J9-x2_ ,29(x, y, z) dy dz dx

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Q: Question The base of a triangle is shrinking at a rate of 5 cm/s and the height of the triangle is…

A: A=12bhDifferentiate w.r.t 't'dAdt=12hdbdt+dhdtbSubstitute h=12, dhdt=9, dbdt=5, b=4

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A: We are authorized to answer one question at a time, since you have not mentioned which question you…

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A: Since, the student has mentioned to solve question number 1, so we are going to solve only question…

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Q: Use L'Hopital's Rule to evaluate the following limits. b) lim x? sin (-) 4x²

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Q: Solve the equation. Write the solution set with the exact solutions. log10 (7-m) + log10(-m-2) =1 If…

A: logb(m)+logb(n) = logb(mn) logby =x is equivalent to bx =y.

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Q: -1)*x²" 1. For all x E R, cos x = (2n)! n=0 a. Find a power series that is equal to x cos(x²) for…

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Q: 6. Set up the integral to calculate the area between the curves fG)= g(x) =-r+2 [ (fy)-g(y)) dy А.…

A: The region is bounded by,f(y)=y2 , g(y)=-y2+2 and y=-1

Q: Use Part I of the Fundamental Theorem of Calculus to find each of the following when f(x) = | t*dt…

A: By using Part I of the Fundamental Theorem of Calculus:f'(x)=x4

Q: 3/2 Construct the fourth degree Taylor polynomial at x= 0 for the function f(x) = 3(1 - x)2. P4(x) =

A: Solved below

Q: 1. Determine the derivative for y = | a. d. 中正中正 中正中正

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Q: (4x-V16x C. lim +3x-5 3x-7* d. lim x0 2x-15*

A: c)…

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Q: Find f,, f, f,(2,1), and f,(4, - 4) for the following equation. f(x,y) = /x² + y? (Type an exact…

A: Given problem:-

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Q: For the function f (x) = 2x³ – 4x + 1 (a) Construct the divided difference table for the points…

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Q: 300 + 900t – 90t, where t is in The traffic flow rate (cars per hour) across an intersection is r(t)…

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Q: one-to-one function is given. Write an equation for the inverse function. x-3 t(x) = x+7 () = D %3D

A: Given query is to find the inverse function.

Q: Let B and F be the following matrices. 3 -1 7 6 2 0 B = -9 -4 -10 9 -3 5 -9 -1 7 2 F = –10 0 -9 -5…

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Q: 5. If the population P of bacteria (in units of 1000) is declining because of a toxin, its rate of…

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Q: QUESTION 2 If a company has a monthly fixed cost of $24,000 and variable cost of $5 each to produce…

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Q: Test the series for convergence or divergence. n=1 n35n (n+ 2)!

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Q: A 25-y -year old woman burns 400 – 40t cal/hr while walking on her treadmill. Her caloric intake…

A: Integration

Q: Use part I of the Fundamental Theorem of Calculus to find the deriyative of 12 १৩) | ( ) = dt f'(x)…

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Q: Find the equation of an ellipse satisfying the given conditions Foci: (- 2, 0) and (2, 0); length of…

A: Equation of the ellipse :    x-h2a2+y-k2b2=1 , where (h,k) is the center of the ellipse .Length of…

Q: 4- 3. 2 2 3 To find the blue shaded area above, we would calculate f(r)dc area Where: %3D a = f(x):

A: If the line passes through the points x1,y1 and x2,y2 , then the equation of the line is…

Q: 14. In(1+ x?) da

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Q: de Evaluate: J æ/9a2 + 4 A f (x) = 9x2 + 4 + 2 In +C 3x (B f (x) = -2 ln V9x2 + 4 + 2 +C 3x © f (x)…

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Q: graph y=cos(x) and the first three non zero terms of the maclaurin series for cos(x). Then write…

A: This question can be solved by applying the expansion of Maclaurin series.

Q: A particle moves in a straight line with the velocity v(t) = 36 – 24t + 3t? (in meters per second).…

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Q: Does the following series converge or diverge? 1 Σ 10 in n= 1 O The series converges. O The series…

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Q: en Test the series for convergence or divergence. E n3

A: Ratio Test: Suppose we have the series ∑an. Define,  L = limn→∞ an+1an Then, If L<1 then the…

Q: 56. ● Cost Equations The cost y (in cents) of producing x gallons of Ectoplasm hair gel is given by…

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