(b): Let f(x) V3x +9 and g(x) = 2x + 6 find fog(x) and gof(x).

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: f(x) = -x² + 2r + 15 What is the first (left most on the horizontal axis) zero of this func- tion, r…

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Q: Find the relative maximum and minimum values. =x2 + y² - 6x + 12y - 9

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Q: What are the coordinates at the minimum point of f(x)= x2-4x+3?

A: f(x)= x2-4x+3 is a parabola with a positive lead coefficient so it will have a minimum at the…

Q: Minimize F = 36x2 + 36y2 with xy2 = 16

A: Given EquationF=36x2+36y2     ....(1)xy2=16                  ....(2)y2=16xSubstitute y2 value in…

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

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Q: Q1. By using simplex (Tabular) method, maximise f = 10x1 + 9x2 subjected to: 3x1 + 3x2 0

A: Consider the provided question, f=10x1+9x2subject to:3x1+3x2≤214x1+3x2+x4≤24x1,x2,x3,x4≥0

Q: x5-3x-2-7x c) iii) f"(x) for f(x) = %3D

A:

Q: -x-1 a) y' = +2yi-1 v(0)=1

A:

Q: Q2. Find the maximum and minimum value of fusing Graphical method, where f = 21x - 13y subjected to:…

A:

Q: Q3/ Optimize the function Z = x + x ? Subject to: x1 + x2 4 x1, x2, 2 0 Using Lagrange multipliers.

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Q: find the Domair y=3+ +Vx X-3

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Q: Q2. Solve the DE. y"" = x2sinx 1. by using inverse operator method. 2. by using variation of…

A: As per bartleby guidelines for more than one questions asked, only one questions is to be answered,…

Q: 2 Find dyif y.+3x-7 and x =, 2t +1

A: As per our guidelines we are supposed to answer only one question.Since you have asked multiple…

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

A:

Q: Find the relative maxima or minima. Maximum of ƒ(x, y) = 12xy - x2 - 3y2, subject to x + y = 16

A: f(x,y)=12xy-x2-3y2 , subject to x+y=16

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: 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: 2.a. Find the maximum and minimum values of the function: y = 3x² 18x +31 -

A: We have to find the maximum and minimum values of the given function y=3x2-18x+31 .

Q: Q4) Find the linearization of: f(x) = x³ + 10 when a = -3

A: l(x)=f(a)+f'(a)

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: Find the minimum and maximum of y = f(x) = x³ – x² – 3x + 2

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Q: I Sdve for dy using the four-step rule 2. y = x"- x 5X-3 ソ= 4- 3X

A: We have to solve the problem

Q: Find the particular solution for ysqrt(1-x^2) * y'-xsqrt(1-y^2)=0  when y(0)=1

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Q: f(x)=x^2+7x and g(x)=9x+1 (fog)(x)= (gof)(x)=

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Q: Find the point at which the line f(x) = 2x – 3 intersects the line g(x) = 5x – 6. %3D

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Q: What is the counterexample of x/x=1

A: Follow the steps.

Q: Find the maximum value of 5x2 - 4xy+ 8y subject to x+y? = 1..

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Q: f(x, y) = 6 – V4 - x2 - y2 is

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Q: What is the fxx, fyy, and fxy of f=(2x^4)+(y^2)-(x^2)-(2y)?

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Q: -V4-x² c3-x²-y² xdzdydx, 0. 0, J-5+x²+y²

A: We will find out the required value.

Q: z2 – x² – y2 = 1 %3D -

A: We have to sketch the hyperboloid.

Q: Find the linearization of f(x) = V16 – x² at a = 3. %3D

A: Given: The formula used for linearization:

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: f(x) = 2x3+az? 12z has alocal maximum at z -2,then a

A: f(x)=2x3+ax2-12x  has a local maximum at x=-2then we have to find the value of a

Q: Suppose z – 2z +x=5, What is the value of y ?

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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: , Affine, or Nonlinear??? x1 + x2 2x3 + 3x2 Y1 ransformation y2 Y3 x1 + x2 + T+x3

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Q: Find the general solution of y" = 6y' – 9y where y is a function of x.

A: Given differential equation, y''=6y'-9y Find the general solution of the differential equation.

Q: f(x) = v2x2 – 13 s %3D -

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

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Q: A cell phone factory has a cost of production  C(x) = 150x + 10,000  and a revenue function  R(x)…

A: Given  cost of production  c(x)= 150x+10,000 Revenue function  R(x) = 200x

Q: y" ofy = (x – a)V2ax – x² + a²arcsin ()

A: Given that : y = (x-a) √(2ax-x2) + a2 arcsin(x-a/a). We find y" or second derivative of this given…

Q: Find gf(2) when f(x) = 6x² and g(x) = 4x+4 %3D %3D

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Q: A fast-food restaurant has a cost of production C(x)=13x+95 and a revenue function R(x)=8x. When…

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Q: An electronics manufacturer determines that the profit P(in dollars) obtained  by producing and…

A: Consider the given function, Px,y=8x+10y-11000x2+xy+y2-10,000 Noe find the critical points by…

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

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Q: 4 Q1: If y = (x4-3x2) x5-3Vx3+Vx find y' 리x2-2

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Q: Find the attractive fixed point of g(x) = 4x - x2 4 | 2

A: Fixed point: The point of intersection of y=f(x) and line y=x are known as fixed points: Example:…

Q: 2.F(x)=x2 +7 and g(x)=2x+5 a)(fog)(2)   b)(gof)(-4)   c)(fof)(1)

A: