(i) Find the value of a, of b and of c for which f(x) = a(x + b)² + c. It is given that f(x) = 2x2 – 12x+ 10. - %3D

Q: 1. The monthly revenue R earned by selling x lamps is R(x)= 120x-0.46x The monthly cost of producing…

A: (a) The given revenue and cost functions are,

Q: 7) f(x) = 3x + 10 g(x) = x - 2 g(f(x)) = ? a) 3x + 8 b) 3x – 2 d) None of these. c) 3x + 4

A: Replace x of g(x) with f(x)

Q: The revenue for a company producing friendship bracelets is given by f(x) = -15x - 30x + 200 %3D…

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Q: Q2) Find the values of constants (a)&(b) that makes the f(x)= ax + b 3 (-3 x≤-2 -2<x<4 x24 Con

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Q: th Exams ff(x) = V13 - x and g(x) = x² + 3x – 4, what is (g of)(9)? %3D lect one: a. 6 b. 1 с. 4

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Q: kx +5, g(x)={ 2 x<-2 4. If the function 3x+x², x2-2 is continious at x=-2, then find the value of k.

A: Given query is to find the value of k.

Q: x2 – 1 6. g(x) = Vr – 3 at r = 4 - %3D

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Q: Solve f(x) is greater than or equal ro 0 f(x) = x2 + 6x - 7 over x2 -10x + 25

A: We have to solve for the function f(x) when f(x)≥0. Given function -  f(x)= x2 + 6x - 7x2 -10x + 25

Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 33x2/3 – 2x…

A: Given:- R = 33x(2/3) -2x To find:- Number of units x produces a maximum revenue R

Q: The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(z)…

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Q: 52. If A. 10 C. -2 -8 5 g(x)dx = -4 and g(x)dx=6, what is g(x)dx? 2 ¹s 1miz d -8 B. 2 D. -10 12035

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Q: kx +5, g(x) ={ 2 (3x+x², x<-2 If the function x2-2 is continious at x=-2, then find the value of k .

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Q: %3| Find the value of k if the f(kx2 – 2x + 3)dx = 14.

A: Definite integration

Q: f(x) = {k(6x (6x + 2x³) 0 Find the value of k. 0≤x≤B otherwise

A: Solution is  given below

Q: The cost, in dollars, of producing x units of a certain item is given by C(x)=20x-4√x-3. Find the…

A: If you like the solution then please give it a thumbs up....   The Answer is:    Production level =…

Q: y = x²-1, stretched vertically by a factor of 3 is a) y = f(x) (b) y = (C) y = f(3x) (d) y = f(x) +…

A: Given,           The function is y=x2-1.

Q: 5x g(x) x2 C = 0 + 3x - 4 g(x) n = 0 8.

A:

Q: Find the profit function if cost and revenue are given by C(x) = 186 + 5.6x and R(x) = 4x - 0.02x…

A: Given :

Q: Find the profit function if cost and revenue are given by C(x)= 155+1.5x and R(x) = 7x-0.09x. The…

A: This is a basic calculus problem

Q: 3x + 8 If f (x) = 2r and f(0) = -8, what is the value of A? A %3D A =

A: Find the value of A

Q: 5. The revenue and operating cost of a car wash facility are given by R(x) = 13x – 0.7x² and C(x) =…

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Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 24x2/3 – 2x…

A: Given data is: R=24x23-2x To find the number of units x that produces a maximum revenue R.

Q: 3) Given f(x) = 3x • 5x and g(x) = 7x², is the following true? Explain your answer. %3D %3D d[f(x)

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Q: Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per…

A: Compare the given cost function with the general quadratic function as follows.

Q: What values of a and b, with a < b, minimize the value of (x* – 2r?) dr?

A: The given integral is ∫abx4-2x2 dx. Draw the graph of the function y=x4-2x2 as shown below. .

Q: B) find the Domain and Range f(x) = Vx – 3x²

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Q: The weekly revenue from the sale of x units of a service is given by R(x) = 192x - 6x thousand…

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Q: (d) Find the interval where the graph of y = x³ + 2x² – 4 is decreasing and concave - up.

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Q: During a nationwide program to immunize the population against a new strain of the flu, public…

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Q: 4. f(x) = x² + 4x- 3 a. b. C. d. e. f.

A: The function is f(x)=x2+4x-3

Q: Q. 4 Find the absolute maximum and minimum values of f(x) = x³ + 5x2 – 7x over the closed interval…

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Q: Find the profit function if cost and revenue are given by C(x) = 184 + 6.2x and R(x) = 8x – 0.02x2.…

A: Solution:

Q: Find the profit function if cost and revenue are given by C(x) = 162 + 6.3x and R(x) = 3x - 0.01x.…

A: Given, C(x)=162+6.3x R(x)=3x-0.01x2

Q: x²-x-6 f (x) = x3+2x2-x-2 Hole: VA: НА: SA: x-intercepts: y-intercept:

A: Here, the given function is: f(x)=x2-x-6x3+2x2-x-2=(x-3)(x+2)(x2-1)(x+2)=x-3x2-1 So, the numerator…

Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 99x2/3 − 6x…

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Q: A jewelry maker has total revenue for her bracelets given by R= 89.75x and incurs a total cost of C=…

A: The level of production for which the cost and the revenue are equal is called break even point.

Q: method of undetermined coefficient  y'''-2y'' +y' = xe^(x) = 5

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Q: Find the profit function if cost and revenue are given by C(x) = 169 + 1.2x and R(x)= 4x– 0.06x. The…

A: From the Given information we have revenue and cost function, then find profit function. Profit…

Q: 13) Given f(x) = 7x² – 4x – 2, without graphing, determine whether it has a maximum value or minimum…

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Q: To compete with a major fast-food chain, a local restaurant introduced a new menu item called the…

A: Profit is cost subtracted from revenue. So directly subtract, that is  revenue minus cost.

Q: 3. For f(x) = x - 10, find the solution to f(x) = 5.

A: f(x) = x - 10 f(x) = 5

Q: The cost function in a dress factory is C(x) = 5x + 27 and the revenue function is R(x) = - 3x +…

A: To find: The number of dresses sold that will provide $69 thousand profit. Given information: The…

Q: h.w 2 : find & Range x +3 y = x² – 2x - 8

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Q: g(x)= {Vx-4 ifx24 [4-x %3D if x <4 8(-3) b. g(13) a.

A: Given: gx=x-4  if x≥4 4-x  if x&lt;4 To Find:  To evaluate the following.a g-3 b g13

Q: 4 f(x) = 2x + 7m (т — х)2

A: For m=9, to to find the extrema of: fx=2x+7m-4m-x2

Q: 7. Find y"' of ƒ(x) = 5x* + 4x³ – 7x2 8. Find y* of f(x) = x* – 5x? + 12x – 3

A: Take derivative 3rd time to given function In question (7) and 4th time to given function in…

Q: The daily profit from the sale of a product is given by P = 32x − 0.2x2 − 200 dollars, where x is…

A: topic - application of derivatives

Q: e) (f-g)(-4)= %3D

A:

Q: f(x)=43^2x+4x^4−44x3−864+72x^2 What is the end behaivoir of this?

A: