Given the function: f(z) = { 4z +1 z<0 14z +2 z20 Calculate the following values: f(- 1) = f(0) = f(?)

Q: The cost and revenue functions for a certain firm are given by  C(x) = 15x + 36,000  and  R(x) =…

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Q: The function f(x) = = a) 0 b) 1 Oc) 2 d) 3 (x² + 1) (x² + 2) has how many x-intercepts?

A: Given function:- fx=x2+1x2+2

Q: The function f(x) = 2x? – 332? + 144x – 10 has two critical numbers. The smaller one is æ = and the…

A: Please refer the attached image for complete solution.

Q: Q2) Find the values of constants (a)&(b) that makes the f(x)= ax + b 3 (-3 x≤-2 -2<x<4 x24 Con

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Q: Find the particular solution determined by the given condition 314 f'(x) = 3x -6x; f(1) = -6 II

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Q: For the function:     F(x) = x3/3 – 3/4x2 – 27/2x +39 (i) What is the range of values over which…

A: Introduction : The function F(x) will be concave downwards if F"(x)&lt;0

Q: Which is equal to (x) given that g(x) = 1- 3x and h(x) = V?

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Q: Consider the function: f (x) = x³ + 3x2 – 45x + 3 Step 1. Find the critical values of the function.…

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Q: Find f′(x) and f′(c). Function f(x) = (2x2 − 3x)(9x + 4) Value of c = −1

A: f(x) = (2x2 − 3x)(9x + 4) c = −1   f'(x) = (2x2 − 3x).(9x + 4)' +  (2x2 − 3x)'. (9x + 4)        =…

Q: Find the Critical Numbers of the Function: f(x) (x2 + 6x - 7)2

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A: Make the changes function in the  function (f+g)(x) by adding and subtracting terms such that…

Q: Find the absolute maximum and absolute minimum values of the function: f(x)=5x^7−7x^5−7 on the…

A: We find the critical points by solving f'(x)=0 Use power rule to find f'(x)

Q: f(x, y) = e-(x²+y²)(3x² + y²) Calculate the extreme values of the function: = e-(x²+y²) (3x²+ y?)

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Q: x²–1 If f(x) and g(x) = Vx – 1, which will yield (f 0 g)(x)? %3D r2

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Q: Q1. Find the maximum and minimum values of f? (Using Graphical Method) f = 10x + 28y Subjected to:…

A: Consider the given function. fx,y=10x+28y And, the subject is defined as, 5x+5y≤1502y-5x≤2y-10≤7…

Q: The function f(x) = 2x³ 30x? + 54x 6 has two critical numbers. The smaller one is x = and the larger…

A: We have to find

Q: 4. Given the functions h(x) = 3x - 4 find h(x) 5x + 2

A: Here we have to find inverse of function h(x).

Q: Suppose f(x) = v9 + x – Vx – 6. Find all x-values satisfying the equation f (x) = 3. %3D

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Q: 3 na of the function f(x) =x3 -x2 - 6x + 12, -3 < x< 3. 2

A: Solution of the problem as follows

Q: 1. Solve for the values of x in the function below. f(x)=x3-4x-0.5x2+2

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Q: Find the value of a so that f(x)= x2 + a has a range of [-2, ∞).

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Q: If f(x) = x° and g(x) = 0.5f(x), what is the value of g(x) at x = 2? %3D

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Q: The function f(x) = 2x³ – 21x² + 60x – 7 has two critical values. The smaller one equals and the…

A: The given function is f(x)=2x3-21x2+60x-7

Q: (a) f(x) = 2r3(3 – 4x)

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Q: Given that f(x) = 2x – 3  and h(x) =x2 - 4 Find:- i) f(-4) =   hᴏf(x)

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Q: 4. Given f(x) = v3 – e2, find the domain of f and f-1.

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Q: F(x)=Vxg(x)+3x, with g(1)= 1 and g'(1) 4, then F (1) is

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Q: Find Critical numbers of the given function: x² +5 f(x) = %3D x - 2

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Q: Given f(x) 3D4X-6 and g(x) = 2x 3x SPO find (f-g)), +g), (S.g))

A: Given that, fx=4x-6 ; gx=2x2-3x We have to find, f-gx ; f+gx ; f·gx ; fgx

Q: 4. Find f(x), given: f"(x)=12x² – 18x, f(-1) = 6, f(2) = 3

A: Topic - function and integration

Q: Find g'(4) given that f(4) = -1 , f'(4) = -2 , and g(x) = Vãƒ(x).

A: Use the product rule to find the derivative of the function:

Q: Find the approximate value of f (3.02), where f(x) = 3x2 + 5x + 3.

A: Given

Q: Given the function: 0 < x < f(x) = 5<x< n 2 п — х

A: Given that f(x)=x,    0&lt;x&lt;π/2π-x,  π/2 &lt;x&lt;πTo the plot the graph and find the fourier…

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

A: Given: f(x)=3x-2, g(x) = 2x2 -4x and h(x) = x2 -x+7 To find: g+hf-12 This can be defined as follows:

Q: The function f:R R satisfies the condition mf(x-1)+ nf(-x) =2|x |+ 1. If f(-2) = 5 and f(1) =1, then…

A: Introduction :Given ,function f: R-&gt;R Which satisfies the condition mf(x-1) - nf(-x) = 2|x| +…

Q: Given f (x)= 2x +1 and g (s3)=x*+2x-1, find (I+g) (3).

A: (f+g)(x) = x2+4xexplanation is given below

Q: Q 2/ find the value of (k) to continue the function (Vx+1-V2x f(x)= x2-x x = 1.

A: For continuity of function  Lim of f(x) at x=1 should be equal to k

Q: find g'(3) given that f(3) = -2, f'(3) =4, and g(x) =2x+1/f(x)

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Q: 2 Given f(x) = x“ - 2 and g(x) 4x + 1, find a. f g b. g(f(x))

A: We will find f .g and g(f(x)) in the following step.

Q: i) find f (x) given that f(x) = X-2 2x+1) k) Differentiate y= (2x+1 (x-x 1), get your answer in…

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Q: Find the value of (A+ V)²(x² + x) with h=1.

A: To find the value of Δ+∇2x2+x with h=1.

Q: 2. Given the function y = x²[2f (x) + 3x]*. If f (1) = -1 and 54 for x = 1, %3D determine f'(1).

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Q: 3. For f(x) = x - 10, find the solution to f(x) = 5.

A: f(x) = x - 10 f(x) = 5

Q: Find a number c that satisfies the conclusion for f(x) = x + x-1 on the interval [0, 2]

A: Answer is 2/√3

Q: The degree of f(x) is v and the leading coefficient is There are real zeros and relative extreme…

A: To Determine :-  Degree of fx Leading coefficient  Number of real zeroes Number of relative extreme…

Q: Q1: Find the extreme values of the function F(x,y)=x² +n + y² +7 n=(3y)

A: f(x,y)=x2+n+y2+7    , n=3y

Q: The function f(x) =px²-qx+ 32, p 0 has a minimum value of 0 when x= 4. Find the value of p and of q.…

A: The given function is f(x)=px2-qx+32. To use the minima information of the function, let us…

Q: Q 2/ find the value of (k) to continue the function Vx+1-/2x x + 1 f(x)= (k x2-x X = 1.

A: The detailed solution is as follows below:

Q: Find the absolute maximum value of the function f(x) =-z² – 4x – 2 on the interval [3, 3 ]. a) О-2…

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