f(x) = V3x-12 %3D

Q: y' + 2y = e*,

A: Note: Since you asked multiple questions, I solved first one if you want answer of other questions…

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

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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: xe lF Sx2z+y3-Xリ2う=0,

A: Consider the following equation: 3x2z+y3-xyz3=0 Differentiate the above equation with respect to x…

Q: 3. f(x) = /x, a = 4 =D4

A: Solution: The objective is to find the linearization of the given function

Q: Find d2y/dx2 implicitly in terms of x and y.    x2y − 4x = 5

A: To find the second derivative of y implicitly in terms of x and y.

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

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Q: xy = e2x; y 2х ху — е

A: We will find y' as following.

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

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Q: Find d2y/dx2.  y = x1x + 1

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

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Q: Find the domain of

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

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

A: Question is solved.

Q: Differentiate y=2x/e^x

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

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Q: y" - 2y' + 2y = e'cscx

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Q: |f(x) dx g(x) dx = 15, find / [3f(x) + 5g(x)] dx. If 28 and

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

A: The function is f(x)=x2+4x-3

Q: Find P(x), the profit function.

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Q: Find d^3/dx3(lnx/x2)

A: Given: d3dx3ln xx2  ……1

Q: 2х g(x) = х2+ x — 2

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Q: The demand and supply functions for a certain brand of breath mints are demand =−20x + 150 and…

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Q: 2. (D² + 3D + 2)y= 1+ 3x + x²

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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: e* +x² – 2x + 4 f(x) = %3D 6.

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Q: dydx x² +y²

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Q: d³y of y = (3x*-5)(2x³+9x-6) Determine the %3D dx3 7x5

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

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Q: C(x) = 38x + 6600  and the total revenue function  R(x) = 70x.What is the profit on 2400 units?

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Q: Choose two choices whose equation shows a nonlinear function. A y = 3x - 7 By = 2x + 1 D y = x + 3 E…

A: We have to choose two choices whose equation shows a non-linear function from the given options: A…

Q: Suppose y = 3x + 2. What is fl.y if x increases by 3?

A: Given y = 3x +2, if x increases by 3, then we have to calculate the change in y.

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

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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: 4-y² ²) dædy 2 2

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Q: Vy² – 25 dy y3

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: g(x)=6x-x² h(x)=x(vx+1)

A: Consider the given figure as

Q: d) y = - + 3 e) y = 20.5x f) y = V2(x – 6)

A: Given query is to find the transformation performed and then graph the function.

Q: f(x) = v2x2 – 13 s %3D -

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Q: f(X) = %3D Vx-2

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Q: Find the value of the fx(2 − x) dx - 0

A: Solution :- 1250·∫02x2-x49dx Substitute u = x-2dudx=1du = dx-1250∫u49(u+2)du

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

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Q: Solve using variation of parameters: y" – 2y' + y = -

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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..