b. Given f(x) = 3x + 2, g(x) = 2x² – 4x and h(x) = x-x+ 7, find (g + h) (-1/2). %3! %3D

Q: If Q(x) = x³ – 25x + 100 is the cost per item of producing x-items. Is the cost per item increasing…

A: Differentiate Q(x) w.r.t x to find the derivative for the function Q(x). The slope for function at…

Q: If Fx) is an antiderivative of x2 +x1, then what is the value of F(1) - F(-1)? 3

A:

Q: -4x + 11 g(x) = %3D x - 2

A: To solveg(x)=-4x+11x-2

Q: D. f(x) = In x + 2e - 3x2

A:

Q: 2. Supposef(x) = 5ax³ – 6x² – b²x – 7, and g(x) = cx* + 10x³ – (d + 1)x² – 4x + e. Find values for…

A: The given polynomials are fx=5ax3-6x2-b2x-7 and gx=cx4+10x3-d+1x2-4x+e. We have to find the value of…

Q: • Find f" (3) for f (æ) = x³ – 2x4 + æ³ + 2x? – 7x + 3. showing the steps in your process. - -

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

A: We have to find the range value of x

Q: -2t x' – 5x = -e", x(0) = 3

A:

Q: If g(x) = max {x, 1/x} what is g(x) when x ϵ N2 (.5)?

A:

Q: If g(x)= 5X3+3x2+3x+5, what is (g-1)'(z) when z=5?

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Q: (c) Discuss the maxima and minima of f (x,y) = x + y3 – 3x – 12y + 20.

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Q: Find the critical points of the function f(K)-7x2-14x.

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Q: For f(x) = 2x² + 5x+", find. 10 S(a +h)- f(a) if h +0. h

A:

Q: find the interverse of the fuction f (x)= 2x + 3/x-4

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Q: What is the equation for g, which is f(x) = 2x2 + 3x - 1 reflected across the y-axis? A. g(x) = 2x2…

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Q: If f(x) =x^2 + 3 and g(x)= 3 -x then what is the the answer to the eqaution in the picture?

A:

Q: If F(x) = x2 - 3x + C and F(-1) = 4, what is the value of C?

A: Given: Fx=x2-3x+C  and F-1=4

Q: Find the local extrema for f(x) = „5/3 + 8x2/3

A:

Q: If Q(x) =  x^3 − 25x + 100 is the cost per item of producing x-items. Is the cost per item…

A:

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: If g(x) = x3 and h(n) = 4n − √(n), what is (h ◦ g)?

A: g(x)=x3h(n)=4n-n

Q: 4. f(x) = 1-x 2x²-5x-3

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: What is the leading co-efficient of. 6x -9 f(x) = 1 x ²³² 4 +

A: If y = ax^2 + bx + c  than leading coefficient is a

Q: Maximize f = 5¤1 + 7x2 + 11a3 subject to 10r1 + 8x2 + 11a3 0

A: Consider the provided LPP problem, maximize  f=5x1+7x2+11x3Subjected…

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

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

Q: Describe the long run behavior of f(r) = – 5r° + 2r - 3r2 + 3

A:

Q: If f(x) = 2x2 – 3x + 1 and g(x) = x + 5, what is f(g(x))? %3D - A 2x2 + 17x + 36 C 2x? – 3x + 6 B. B…

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Q: If f(x) = 2x3 + Ax2 + 4x - 5 and f(2) = 5, what is thevalue of A ?

A:

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

A:

Q: Find f by solving the initial-value problem. f'(x) = 9x² + 6x – 9; f(2) = 5 - f(x) %3D

A: Given,  f'x = 9x2+6x-9  f2 = 5  We have to find  fx

Q: fG)=4x-3 SCx) == (s09) (x)=

A: gx=x2

Q: A catering company estimates that, if it has x customers in a typical week, its expenses will be…

A: Given: C(x) = 550x + 6500  R(x) = 1200x (a) How much profit will the company earn in 1 week when it…

Q: Find (fog) (4) when f(x%=D2x+20and glx)=-2x -8x+8

A:

Q: 2х g(x) = х2+ x — 2

A:

Q: If g(x) = x2+4x with x greater than or equal to -2, find g-1(5).

A: g(x) = x2+4x with x greater than or equal to -2Let g^-1(5)=x where x is greater or equal to -2,so we…

Q: Find the general solution for: X' = là X. -3 %3D

A:

Q: The constant term of f(x)=x2+4x3+1 is 1. How can you say that 1 is the constant term?

A: fx=x2+4x3+1

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

A:

Q: Suppose g(x) = x² +2, then g(x+h) will yield to A x+2xh+h2+2 B x²+2xh +h+2 x2 +2xh +h2 +2 x²+2x+h?…

A:

Q: Suppose f(x)=−x2+10x−6 models the per household smoothie consumption, in quarts, in the town of…

A: Given that : fx=-x2+10x-6. Therefore, take first order derivative : f'x=-2x+10. At f'(x)=0 , we get…

Q: Find f by solving the initial-value problem. f'(x) = 6x2 + 8x – 9; f(2) = 4 %3!

A:

Q: g(x) 4x-3 and h (x) = 3x+4 g(n(-2)) then what is

A: The functions gx=4x-3 and hx=3x+4 then we have to find gh-2.

Q: 2) Find the domain of the function. 7 – 4x f(x) = 3x + 2

A:

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

A:

Q: |b) If g(x)% = 2x + 1 find g'(x) 5x + 2

A:

Q: b) Approximate the value of the root of f(x)=-3x+5x+14x-16 near X3D3 to within 0.05 of its actual…

A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to calculate the root of the equation:…

Q: If f(x) = 4 – x² & g(x) = vx then find (fog)(x) » (gof)( x + 8 If f(x) = 3x – 8 & g(x) = then find…

A:

Q: -2x *(6x-15x² +9x) =x'e* D² -D+3 true Error

A:

Q: Find the points of discontinuity for 3(x+2)2 a) h(x) x3 + 4x2 + x- 6 6x- x2 b) f(x) = 9 - x2

A: