f(x) : == - x2, with domain [2, +o) %3D

Q: Find the interval in which the function given by y = 4x3 - 6x2 -72x + 30 is decreasing.

A: Given: y=4x3-6x2-72x+30

Q: f(x)=-x^2+36x+520 where x is the number of handbags that Sara sells  What is the maximum revenue

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Q: V121–a² r85-x²-y² 11 x dz dy dx -157+x²+y²

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Q: Estimate S," 3x +x² using Mid-point method (n=6), then find the error estimate.

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Q: Given U = VXY; and Px=10 , Py-20, income=100; what is the value of MRSxy at the optimization point?…

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Q: use graphs to find approximate solutions 3 - 2-x = 0

A: The equation is 3 - 2 - x = 0 By combine like terms 1 - x = 0 That is x = 1

Q: f(x) = x²e-3*,

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Q: Solve for g'(x).

A: Theorem used:

Q: Given the function y = x2 + 10x + 21, what is the least possible value of y? %3D

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Q: Solve f(2) for f(x) = -4x + 3 %3D f(2) = [? ]

A: Put x= 2 in equation We get  - 4(2) + 3 -8 + 3 - 5

Q: 1. ysinx - xy2 = C

A: Given equation  ysinx -xy^2=C To eliminate arbitrary constant differentiate once and evaluate as…

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 range of y = v16 – x² is А. [4, со) В. (4, оо) C. [-4,4] D. [0,4] Е. (0,4)

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Q: Solve for x x'(t)=x-t

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Q: Find d2y/dx2 in terms of x and y. x2 + y2 = 3

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Q: S-1x+31, f(x) = 3 10

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Q: At what interval is y= 2x3-3x2- 36x + 14 increasing? Decreasing?

A: Question is solved.

Q: at x=3.

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Q: Maximize f(x, y) = 18 - x2 - y2, x + y - 2 = 0.

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Q: f(x)= .5x^2+4x-10 How do you find this using the secant method?

A: In this problem we will use the secant method

Q: -7 -5 | g(x) dx = -5 and | g(x) dx = 8,

A: Given,                      ∫2-7g(x)dx=-5   and   ∫25g(x)dx=8then         ∫-75g(x)dx=?

Q: (x* -3x,ifx 22 Find g(x). g(0). g(-2) x+2, ifx < 2

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Q: Find the domain of f

A: We have to find the domain of the function: fx=x-2x-6 We know that for any square root function y=fx…

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: a. The f'(3) for y = v2x² + 7

A: Since, y=f(x)=2x2+7 -(i)Differentiating equation-(i), with respect to 'x', we…

Q: The company’s revenue is x•(6,228-9x). Find the price x that will maximize the company’s revenue.

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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: Find the range of values of x for which y = x3 + 5x2- 8x + 1 is increasing.

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Q: Sx-5 GX+7 x422

A: Given,            A triangle is shown below :

Q: d²y/dx² of the function y=(5x² – 3)(7x³ + x)

A: The given function is: y=(5x2-3)(7x3+x)=5x2(7x3+x)-3(7x3+x)=35x5-16x3-3x To use the product rule for…

Q: ปืน น g-x) (2+x) (4x - 42.Sou 1-2

A: Given:        π∫-228-x2-2+x2dx     =π∫-2264+x2-16x-4+x4+4x2dx     =π∫-2264+x2-16x-4+x4+4x2dx…

Q: f(x)%3D4×+2x2 - x³ for -5 <x s 5. |

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Q: 4. f(x) = x² + 4x 5 %3D -

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

Q: Is function  y=x2 a solution for equation of (1-x3)y'-2x+x2y+y2=0? If it is, find the solution.

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Q: 1.fし) -x' + 5 and glx) =x²+4x-12 ラ

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Q: y = x2 - 2x over the interval (0, 2]:

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Q: f (x) = 3c³ -3x² + -3 at x= - 1

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Q: The profit, P, (in dollars) for Ace Car Rental is given by P =100x -0.1x2 , where x is the number of…

A: P =100x -0.1x2  is a parabola eith negative lead coefficient. So it will have the maximum value at…

Q: f(x) = -(x2 + 2x - 3) %3D f(x) 10-

A: Given:- f(x) = -(x2 +2x-3)  To find:- STANDARD equation of f(x)

Q: The annual total revenue for Pilot V5 pens is given by R(x) = 1500x - 0.02x2 dollars, where x is the…

A: Given, R(x)=1500x-0.02x2

Q: x°-x°+4x* -6x°+2n²- 8x t8=0 Solue for x,

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Q: f(x) = v2x2 – 13 s %3D -

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Q: f(x) = 2x² + 8x at the point x = 2. %3D

A: Given data:     The given function is: f(x)=2x2+8x   The expression for the differentiation of the…

Q: find all possible functions with the givenderivative. y' = 3x2 + 2x - 1

A: Definition used -     Function from derivative -         f(x)=∫f'(x)dx

Q: f. √₁²√x (x − 2x² + 1) dx -

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Q: g(x) = 5+3(secx)2

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Q: Solve for f(-1). f(x) = -3x + 3 %3D

A: The function is given as fx=-3x+3 The objective is to find the value of f(x) at f(-1)