A car rental agency rents 210 cars per day at a rate of ​$40 per day. For each ​$1 increase in​ rate, 5 fewer cars are rented. At what rate should the cars be rented to produce the maximum​ income? What is the maximum​ income?

Q: if S f(X) dx = 36 and 9(x) dx=13 find So [4f(x) +69(x)] dx %3D

A: ∫064f(x)+6g(x)dx=4∫06f(x)dx+6∫06g(x)dxSubstitute ∫06f(x)dx=36 and ∫06g(x)dx=13

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A:

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A: Given that radius = 20 m. So, OA = OC = 20 m. Given OB = 10 m. So, BC=202+102=500=105 m.   Let, D =…

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A:

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A: Find your answer below

Q: how did you arrive at x=34

A: Apologies for the inconvenience. Here is the correct solution:   The given profit function is:…

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A:

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A: As you have asked for the solution of question 34 only, so I am solving only that. Thank you.   34.…

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A:

Q: Derivatives: using (4 step rule). 4. f(x)=sin3xcos3x 5. f(x)= x² cos(x² +1)

A:

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A:

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A:

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A: answer is in next step

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A:

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

A: To test the series for convergence or divergence. ∑n=1∞ n·35nn+2!

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A:

Q: dz (a) Find of the following functions: dx 2+1 +cos y? = sin(y'+ 22z) COS 7 ZX %3D

A: Solving

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A:

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Q: Use limits to determine all the linear asymptotes of Зд? — 5 if r1. a² + 2x – 3'

A:

Q: x³ – 11. What is dx ? х-1 x2 + 2x + C x3 x3 A. + C B. +x+ C C. 3 D. x(2x²+3x+6) + C 12. In solving S…

A:

Q: 2 - y 3. Consider the lines defined by the equations &3 : x – 1= 3 – z and l4(s) = (1 – 2s, 4s, 1 +…

A: Given problem:-

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A:

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A: Given problem:- solve the given differential equation y' +2y=x2 y3

Q: Consider the series (z – 9)6, (z - 9)8 E4. = (2 - 0)2 + (- 9)“ E, = (z - 9) + +... 3- 2! 9.3! 27- 4!…

A: This question can be solved using the concept of general term of series.

Q: Preview Activity 1.3.1. Suppose that f is the function given by the graph below and that a and a + h…

A: Use slope formula for finding the value .

Q: sequential convergence Lim 3-8n h-oo n+2

A:

Q: 5 – sin n Test the series for convergence or divergence. n=1

A:

Q: 1. f(x) = Vx , g(x) = 9 - x² %3D 2. flx) = Vx , g(x) = х-2 3. f(x) =, g(x) = Vã

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others…

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A:

Q: Eliminate* the arbitrary constants c1 and c2 from the relation y = cje-2* + cze³* у" -у — бу %3D 0 O…

A:

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A: The question is determine the question is evaluate the definite integral. Note -  As per our…

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A: Divergence of F→=yx3, xz6, zy4

Q: a) Find the fifth term of the sequence 16 31 46 61 9' 15' 21' 27 b) Find the general term of the…

A:

Q: 5. y = Arctan² (x³) '2х-1 6. y = Arccos 3x+1/

A:

Q: Set up a double integral to find the volume of the solid region bounded by the graphs of the…

A:

Q: (1–3)* (t³ -8) t + 2 4. 2-t

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A: Let's find.

Q: S) Vx + 7 dx

A:

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Q: Consider a triangle ABC like the one below. Suppose that a=32, b=31, and c= 18. (The figure is not…

A: The given question can be solved as shown in step2.