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

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

A:

Q: Find the maximum and minimum value of f(x,y) =x3+3xy2-3x2-3y2+4

A: fx,y=x3+3xy2-3x2-3y2+4   fx=3x2+3y2-6x   fxx=6x-6   fxy=6y   fy=6xy-6y   fyy=6x-6

Q: then fxy Q4: If f (x, y,z) = x²y³ – y²z3 %3D -

A: we have to find partial derivative

Q: f(x) = 2+ 3x² – 8x3 -

A:

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

A:

Q: F(x)=2x^3 and g(x)=-3x^2 +1, Find a)(fog)(1) b)(gof)(-1) c)(fof)(2) d)(gog)(-2)

A:

Q: Suppose that f(æ, y) = e-3x² – 4y? + y Then the maximum is

A:

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 = 0.75X + 0.0042X2 – 0.000023X3 At what level of X, the output will be maximum?

A:

Q: Y Is the midpolnt of XZ.If XZ 8x-4 and YZ = 3x +1, find x.

A: Given Y is the mid-point of line segment XZ XZ = 8x-4 YZ = 3x+1   to solve the given question use…

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

A:

Q: 3. zy if y + x² – 3xz = 222

A:

Q: What is the relative maximum value of f(x) = x³ – 3x + 2? -

A:

Q: 6. Find the domain of y = Vx+ 4x + 5x + 2 + Jxl-|x+1]

A:

Q: Find fxy when f(x, y) = 8xeXy.

A: To find fxy when fx, y=8xexy.

Q: f(x) : 4 6 5

A:

Q: 5. y = xArctanx - In v1+x

A:

Q: If f(x) = x2 – 5x + 7, what are the co – ordinates of the minimum of y = f(x – 2)?

A:

Q: The antiderivative of the function f(x) = x2 + 9x is. -5 + 18.0x? + c -5 4.5x? + c -9 + 2.5x² + c -5…

A:

Q: find the general antiderivative of f(x)=4x+7

A: Given : fx = 4x + 7

Q: Consider the function f(x) = - 2x + 24x2 42x +4. %3D - Find the critical points.

A:

Q: Find the most general antiderivative of the function. f(x)= 8x-11/10

A:

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

A:

Q: x^2=Axy+By

A: Simple value put

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

A:

Q: Find the linearization of the function at x = 1.* f (x) 2x - 3x + 7 %3D

A: From the given problem:   fx=2x3-3x+7 ; x=1   As we know that the expression for linear…

Q: Find the relative maximum and minimum values. f(xy) = 4x - 2y?

A:

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: Let_y=x² +5x³-4x+1 then dy- ||

A:

Q: find the most general antiderivative of f(x)=6x^5-8x^4-9x^2

A:

Q: Find the most general antiderivative of f(æ) = -5x + (1 – a²)-1/2, where -1 < x < 1. F(x) =

A:

Q: Find the linearization L(x) of y = (64+3x2)-1/2 at a = 0. L(x) = %3D

A: The given function is: y=f(x)=(64+3x2)-12 So, f'(x)=-1264+3x2-32(6x)        =-3x64+3x232

Q: Suppose that f(æ, y) = e-2x² – 3y² + y Then the maximum is

A:

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

A: We will find out the required value.

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

A: Given: The formula used for linearization:

Q: What is the DE for A(x^2)+Bx+C using elimination of arbitrary constants.

A:

Q: Solve for fazy for f(x, y, z) = 4x³y²z - e²zy¹ + + 4y - x¹6

A:

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: Minimize F = 24x2 + 24y2 with xy2 = 16.

A: Minimize F = 24x2 + 24y2 with xy2 = 16.

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

A:

Q: Suppose that f(x, y) = e e-x² - 2y² + x Then the maximum value of f is

A:

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: Find the linearization at x = a. 1 f(x) = = 5 +3

A:

Q: note that X - y +z = e2 and 4x – 3y + 2z = e2

A:

Q: Find the most general antiderivative of the function f(x) = 72° – 6x³ + 3x?.

A:

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 the maximum and minimum values of f(x,y)=x3+3xy2-3x2-3y2+4

A:

Q: Find the maximum and minimum points of f(x) = x(12 – x)?

A: topic - application of derivatives

Q: Find the critical point of the function f(x, y) - 4+ 7x – 5x² + 6y + 7y?

A:

Q: Find an antiderivative of ƒ(x) = 3x2 that satisfies F(1) = -1.

A: f(x)=3x2, F(1)=-1