Given the function x + 5 х< — 5 s(x) 4x2 10х — 9 -5< x < 1 — 5х — 4 Calculate the following values: s( – 9) s( – 1) : s(1) s(2) s( – 2) : s( – 5) = ULLOOL

Q: 2 2 x >1 4 2x> 2 4 x+ 2 b) f(x) = . 16 52x>4 x² + b 6 2 x > 5 1)is the above function continues at…

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Q: Find the function h given h'(x) = ÷- + 2; h(1) = 0 3x x2+1

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Q: Calculate M6 for f(x) = v2x over [2, 5].

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Q: Q.12 Find f(x), if Js(n) = 16(-1)-1 n 0<x<8

A: Given: Let us consider the given data, f¯sn=16-1n-1n3,0&lt;x&lt;8 To determine: fx.

Q: Find f(4) using forward, backward and central difference of : (3 – 2x)2 f(x) = x2 Step size = 02 %3D

A: We have to find difference .

Q: Evaluate the integrals.

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Q: Find a solution of by iteration for f (x) = x³ + x – 1 = 0

A: Given function is f(x)=x3+x-1=0 So we can write x3+x-1=0⇒x(x2+1)=1⇒x=1x2+1 Let ϕ(x)=1x2+1 Since…

Q: For the function y=4sin(2(x-3pi/4))+1, match the following:

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Q: -5y+ V = 2x + (x – 5)² Evaluate the function found in the previous step at x = 4. %3D

A: Definition used -         Evaluate the function at a given value of x -         If we have to…

Q: Use the table below to compute h'(2) for h(x) = x² + 2g(x). -2 1/2 -3 1 4 -1 -1 -2 -2 -2 -3 -1 1

A: Solution:

Q: 4.Find f (1) for f(x) = x² + 5x + 2

A: Given: f(x) = x2+5x+2.

Q: 2) Find the domain only for the following functions: x + 3 V2x + 5 Vx -2 1) у3D 2) у %3 3) у %3 x -…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Q3. Find the maximum and minimum for the following function using Graphical method: f = 11x, + 5x2…

A: The given LPP is, f=11x1 + 5x2s.t. 3x1 + 2x2≥6     3x1 + 53x2≤15      x1 + 2x2 ≤10           x1…

Q: O Find a, b to Continue The function at x= 3 if ax+b x > 3 f(x) = 2a-b+1 X = 3 bメーa+3 Xく3

A: Given,          The function is continuous at x=3.            fx=ax+bx&gt;32a-b+1x=3bx-a+3x&lt;3

Q: Find h' (2) if h(x) = 1n(x + √(x2 - 1)) h'(2) =

A: Given hx=lnx+x2-1

Q: a) If y = 3x – 2, x = 3t + 2, and t = 3k – 2, find b) Express y as a function of k ify = 2x + 5, x…

A: Introduction: A function is an expression, rule, or law in mathematics that defines a relationship…

Q: Given the function 4x 2 f(x) =1 Ar +4 20 - f(z) %3| 4x2+4 r Calculate the following values: f(- 1) =…

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Q: 2 f(x) = √4-x² [-1,1] n = 4 a = -1 right left & middle hand rule b=

A: The given function is fx=4-x2 over the interval -1, 1. The number of subintervals is n=4.

Q: 2x + 5; if x 3 Find the value of functionf at x = 3.

A: Topic = Function

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

A: Given Data: Function: fx=9+x-x-6 Condtion: fx=3 Use substitution method to find the values of x for…

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

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Q: Given 3s2 + 9s – 2 F(s) = (s - 1)(s2 + 4s+ 5) Find f (t).

A: We will find out the required solution Laplace transform method.

Q: Find f(4) using forward, backward and central difference of: (3 – 2x)2 f(x) = %3D x2 Step size = 02

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Q: Find f'(4) using forward, backward and central difference of: (3 – 2x)² | f(x) = x2 Step size = 0.2…

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Q: Find the inflection point of the curve f(x)=2x³ – 30x² – 12x+5. O 60 None O -2 O 5

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Q: For the function 3, ²8a+21, 2x f(x) = 7, 0 < x < 4 x = 4 4 <a

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Q: Find f(2) given that f(z) = 2r +5.

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Q: 3 2 y X-3x-x t3 From X = -1 to X= 8

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Q: t) Find the critical numbers of the function f(æ) = 2 %3D 2r+3

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Q: Determine x(t). 2s+4 (a) X(s) = S-2s+5

A: Since you have asked multiple questions so as per our guidelines   we will solve the first one for…

Q: S2x – 4 x² - 2 find: (a) f(0) if -1 sxs2 if 2 <xs 3 If f(x) (b) f(1) (c) f(2) (d) f(3)

A: As there are multiple sub parts a), b) and c)  are solved here.

Q: . The function f(x, y)= 8x' - /4x* + 3y* is homogenous in x and y of degree -. The function f(x, y)=…

A: Here we have to find the degree of homogeneous function

Q: Determine £'(F}. 5s + 44s + 192 F(s) = (s - 3)(s² + 4s + 20)

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Q: 3. Given the function f(x) = 4x^2 + 10x + k, find k when f(x) is a perfect square.

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Q: Q3 Find f-(x) for the following : 1- y = Jx-3 2- y = (2x³ + 1)'/5

A: For finding the inverse, we will replace x with y and y with x

Q: Q 4. (a). Show that fog = 4x² – 1, if f(x) = 4x – 5 and g(x) = x² + 1.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: The Cobb-Douglas production function for a bicycle company is given by f(x.y) = 21x°*y0, where x is…

A: We have to find the total productions of bicycles.

Q: Q14- If f(x,y) = 2xy - x² Iny- 2y² + 3x + 4, then axy is : for the function

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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: f(x) = -0.1x4 - 0.15x3 - 0.5x2 - 0.25x + 1.2 at x = 0.5 using: first backward difference with…

A: f(x) = -0.1x4 - 0.15x3 - 0.5x2 - 0.25x + 1.2at x = 0.5 using: first backward difference with…

Q: Find f(4) if f(t)dt = x2 - 2x +1 Note: Write your answer only as an integer. Your answer cannot…

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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: 2. If h(x) = 4 +3f(x), where f(1) = 7 and f'(1) = 4, find h'(1). %3D

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Q: Find the x-intercept(s) of the function (*)--+5x-6. O 2 and 3 O 6 and 1 O -1 and 6. O 5/2 and 3

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Q: (N.find f (2). For the function f (x) = Vr+3 Of (2) = (4V)* 3 %3D os (2) = 4 (V)' - 3) Of (x) = 4V-…

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Q: Find the în tervals of concavity of the function 2. f(x) = X²(x²+4x-18)

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Q: Find a,b to continue the function at x=3 if: ax + b f(x): = 2ab + 1 bxa + 3 x > 3) x = 3 x < 3)

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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: Determine h(x – 1) for the following function. - - 2x h(x) = %3D x2 - 7x + 12

A: the given function is: we have to determine h(x-1) for the given function.

Q: Find (f o g)(x). f(x) = 5x - 2, g(x) = – x² + 4x - 1 O -5x? +20x -7 %3D %3D |3| O -25x2 + 40x - 13 O…

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