75. Sales The sales of a company are related to its expenditures on research by S(x) = 1000 + 60V1 + 12x, %3D where S(x) gives sales in millions when x thousand dollars is spent on research. Find and interpret dS/dx if the following amounts are spent on research. (a) $9000 (b) $16,000 (c) $25,000 (d) As the amount spent on research increases, what happens to sales?

Q: 20. A store finds that its sales revenue changes at a rate given by S'(x)=-3x² +300x dollars per…

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Q: 4 4 - If |f(x)dx =7, find the value of 1,2f(x) – 3 dx. 2 2

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Q: 1. S 2x-6 すdx (x-7)5

A: Solution:

Q: 3. What is Se3x dx?

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Q: 54. Out-of-pocket health care expenses Data and pro- jections from the Centers for Medicare and…

A: Here annual per capita out of pocket expenses for health care is given in terms of x. Where x is the…

Q: –2x x- -dx x2+e-2r A (x-e-2r) x²+e-2x xp- B -2 (х—е -2) x²+e-2x xp- e -2r dx x²+e-2r x²+e -2x D E)…

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Q: 62. Alabama Instruments Company has set up a production line to manufacture a new calculator. The…

A: Given thatdxdt=50001-100t+102dx=50001-100t+102dtwe will integrate from 2 to 4, because the beginning…

Q: ://v². dx √1-x² dx √√2. x√x²-1 (ª (¹² - 31/₁) dr (1. 25. 27. 29.

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Q: Evaluate [(e²/² - x)(e²/² + x) dx. Show your work.

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Q: .3 y = 2x + 5x from the point (-2,-26) to the point (4,148), you'd have to compute | f(x)dx

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Q: 4xt 4Y=600 -> X+Y=150 - y= 150-X Area = XX 2Y * xz (150-x) 2x (Is0-x) 300X -2x² da 300 2 - dx : 3 00…

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Q: 27. ·√ √(x + 2√1-x²) dx _28. [₂ (2+√9 − x²) dx -3

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Q: 5. S(-5x-6 + 10x-11 – 20x-21)(x-5 –x-10 + x-20)dx

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Q: 6. S: Ja2+1)2 dx x³ex? dx (x²+1)2'

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: 5. S (3x-x²)dx x2

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: •5 b) 3 -dx x – 3

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Q: 13. S: 5x dx x5-3

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Q: (iv) S х2 +3х-1 dx x3-1

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Q: 27. 12f(r) – g(x)] dx = 28. Ư(x) – g(3)]dx =, 29. (4g(x) – 3f(x)] dx = 30. f) + 39(x)] dx =

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Q: What values of a and b maximize the value of (x-x²) dx.

A: Find your answer below

Q: 9. Describe an example that illustrates that If(x)| dx is not equal to |S f(x) dx|.

A: For a function f(x) the corresponding function |f(x)| is obtained by reflecting the parts below the…

Q: You have a shortage of drinkable water in your town and are trying to prepare safe drinking water by…

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Q: 10. fS'(x)dx -4

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Q: 4. S ( 12 x³ + 15 x - 20 ) dx

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 2. S (2x-5)dx x2-5x+3

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Q: 2 S (x² – 4| – |æ – 1)) dæ - 4| – |x – 1|) dx -2

A: Definite integration

Q: 22 Evaluate S- dx. 3/2 +1

A:

Q: 1 The value of f|5x – 3|dx is

A: Integration of the absolute valued function

Q: Q3. Evaluate S 2x+1-5x-1 dx 10*

A: Given that ∫2x+1-5x-110x dx evaluate the integral

Q: 3 What is the value of -8e -2x+1 dx?

A: Consider the given integral

Q: 5) Evaluate x2n-1e-kx² dx

A: Gamma Function: Γ(n)=∫0∞tn-1 e-t dt And Γ(n)=(n-1)!

Q: 3 S² (13* — 11 + 13x − 3)) dx -

A: We have to find value of given Integral.

Q: 4. The rate of change of a certain substance is proportional to the amount of substance is 10 grams…

A: According to the given question dxdt∝x.

Q: ii) ∫7x-25/(x-3)(x-4) dx

A: Given,          ∫7x-25x-3x-4dx

Q: 10. ((ex-2)2 e 2x + 4 S dx

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Q: 6. S (2x+3) dx (x2+3x-6)9

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Q: .6 6 If | F(x)dx=12, what is the value of | f(6– x)dx?

A: Using property of definite integration.

Q: 2. Evaluate. (Зx* - 2х + 1)dx -2

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Q: Evaluate e6 6x cos (7x) dx. 6x cos (7x) dx =

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Q: 13. S 5x dx x5-3

A: To integrate ∫5x4x5 - 3dx

Q: dy _ ху+3х— у-3 dx ху - 2х + 4у -8

A:

Q: 6. Jo ex-3 S dx = 1- e2 – 9 2- e+3 2- e2+3 4- e+2

A: 6. We need to evaluate the following definite integral ∫01e2x-9ex-3dx

Q: (3) S 4-x² dx

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Q: 9 (4) Giver Sifon dx = 37 g(x) dx = 16 So Find S (2 f5r1 + 3 ger)) f(x) dx and

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Q: 30. In modeling the reaction of a drug in the patient's body, the daily dose of the drug in the…

A: Here first we find a sequence of amount of drug given at nth time and then will find the limit of…

Q: (5) f (3x² + 2x)e5+3x dx (6) ſ dx x(3 + ln x)

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Q: 5. s(x²-x)² 5. x² – dx - 2x + In|x| + C x3

A: First open the numinator term then distribute the integration sign  and then integrate ..   Actually…

Q: 8. S Ve3x dx A 3 3 2x e3* + C 2. 2 e2* + C 3 B e 3x. e* + C

A:

Q: 32?. If sales are A company's revenue from selling x units of an item is given as R = 1400x-…

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Q: 4. S(5x +) dx = dx = 2 5. S- x7 x4- 15x6 6. S (四 극) dx %3D

A: