f(x) = (x + 8)2, x > -8 %3D

Q: ABZ Mart sells whole-grain foods and its revenue is given by R(x) = 100 – %3D 400 x where x is the…

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Q: Find the point of diminishing returns for the revenue function where x is the amount spent on…

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

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Q: Find the number of units x that produces a maximum revenue R. R = 171x2 – 0.06x3 X = units

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Q: f(x) = 7x + 10 g(z) = + 2

A: Given query is to find indicated function value.

Q: 5T 1 y=-2cos(Gx+っ)+1

A: Phase shift: -5π

Q: Consider 6x + 1/(2x). When increasing/decreasing? It's decreasing on both sides of 0. Explain why…

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Q: y'' - 6y' + 9y = x^-2(e^3x) using Methods of Variation of Parameters

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Q: x + C dx x?(x²+2x + 3)

A: Given: To solve the  integration by Partial Fractions

Q: r/64–x² r61-x²-y² x dz dy dx -67+x²+y²

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Q: let x= et then by the chain rule d3x/dx3 equals

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

A: Question is solved.

Q: fa) -x+3 grx)= %3D What is 2F(x) gra)?

A: f(x)=x+3 and g(x)=x4 we have to calculate 2f(x)-g(x)

Q: f(x) = %3D 4 — т

A: We will approximate f(x) by the Taylor series. Taylor series of function fx at a is defined as:…

Q: 14. The f'(4) for y = v3x2 + 1

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

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Q: What values of a and b maximize the value of ! (7x-x) dx? a

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Q: e2x (x3 - 2) x(3e5x +1) 52. f(x) = %3D

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Q: 5. f(x) = x - 16x + 64x? %3D Zero Multiplicity Effect

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Maximize f=-x-3y subject to -2x+y = 2 X,y >= 0

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Q: Even though housing prices have been declining in many parts of the​ country, in​ Lara's…

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Q: V2x-x2 SS2*-*" (x² + y²) dydx

A: Changing cartesian to polar coordinates: x2+y2=r2x=rcos θy= rsin θ x ranges from 0 to 2y ranges from…

Q: Find d2y/dx2 implicitly in terms of x and y.    x2 + y2 = 4

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Q: 2. (D² + 8D + 16)y = 1-e4x

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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: tion: y" – 3y' = e3 – 18x. - -

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

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Q: F(x) Vex-uz 81 -9X

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Q: 1) g(x) = 2x + 8

A: given function g(x)=2x+8 on diffrentiating this function we get

Q: he equilibrium pul 12) P(x) = -2x + 8, S(x) = 3x + 2 %3D

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Q: Find d3y dx3 of y = x³e-x

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Q: Find the number of units x that produces a maximum revenue R. R = 66x2 − 0.04x3

A: Explanation and solutions is given below....

Q: 2. For what values of x is y = 150x - 2x3 an increasing function?

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Q: S sec 2ydy

A: Topic:- integration

Q: The y, of y'"-y=2x²-x -3 by using variation of parameters is: .A y,(x)=Ae*+ Be- .B Yp(x) = x – 1 .C…

A: Given that  y"-y=2x^2-x-3 To find the particular solution by using the variation of parameters

Q: Evaluate (D2+3D+2)y=(1+e-x)-1

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Q: The sales of a product produces revenue R(x) where x represents the amount spent on advertising.…

A: Solution :-

Q: d^x 2: +3. db4 3d ³ x db³ d²x -62 dx - 24x=0 db 27. db²

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Q: 4-y² ²) dædy 2 2

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Q: 6) qyo -x² +2x + S%y +62=0 sty

A: 6)

Q: F. V2X²-4x-7 dx X-X

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Q: (2) S 1 x= V1-x²

A: Solution

Q: f(x) = v2x2 – 13 s %3D -

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Q: 2x³y' = y(y² + 3x²) using Bernoulli.

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Q: 5. A fast food restaurant has a cost of production C (x) = 14x + 171 and a revenue function R(x) =…

A: Profit function from cost and revenue function

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

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Q: Y1 (x) = 8a + 2x; y2(x) = x In(bx); y3(x) = ca?.

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Q: 10) f(x) = V3x – 1

A: Explanation of the solution is given below..

Q: interval

A: We have to find the increasing interval according to the given function

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.