Justify your answer. (e) () Let f(2) = 2021 – N21895 + 1066, where N is your five-digit candidate number. Is it true that we can write f(2) = II (2 - c), where c, e C for each 1

Q: Let h(æ) = f(x)+ g(x). If f(x) = 7x³ and g(æ) = 9x4, what is h' (æ)? Do not include "h' (7) =" in…

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Q: -5x2 – 3 If f(x) = then f'(0) is 4х + 2 O - 3 О 13 O - 1/3 Оз

A: Solving the problem by obtaining the derivative.

Q: 04) Find: V2 +7 - 4x a) Horizontal asymbtote for f(x)D x+3 x² - 4 f(x) a to for

A: Given: a) Horizontal asymptote for f(x)=x2+7 -4xx+3 b)Oblique asymtote for f(x)=x2-4x-1

Q: What is the end behavior for this equation? f (x) = (x- 6) (x + 1) O As x → -∞, f (x) –→ –x, and as…

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Q: -(+2h)+16f (x+h)-30f(x)+165 (x-h)-(-2h) Suppose f"(x) 3 Show that the error is O(h4)

A: It is given that,

Q: Determine ¹{F}. s²F(s)-sF(s)-30F(s) = 2s²2² +8 2 S + 4s

A:

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: Provethat f fear dz- F(2) d2 Saro if ce+Cathen

A:

Q: 5 Given h(x) = x³ + px² − x − 4, find a value for p so h(x) has an inflection point at x = -4.…

A: I am attaching image so that you understand each and every step.

Q: A salesperson gets a commission of $1,600 for the first $10,000 of sales, and then $800 for each…

A:

Q: r+6 = (2)6 Determine for each x-value whether it is in the domain of g or not. In domain Not in…

A: Given: The function g(x)=x+62g(x)=x2+3 Therefore,g(x) is a linear polynomial.

Q: Find the second derevative of y=√1-2t+t²

A: Given, y=1-2t+t2

Q: 11 When 2x' + x² – 2kx + f is divided by x – 1, the remainder is -4, and when it is divided by x +…

A:

Q: 4. Find the absolute extrema of f(r) = 7r/3 - r7/3 over the interval [-8, 8].

A: Given function is

Q: Q12- If f(x)=V3x,g(x)=x/5, and h(x)=6x-10, find formulas for the following : d. g(h(f(x)))

A:

Q: f(x) = 0, X # 0, = 1, x = 0.

A: The function is,fx=0x≠01x=0

Q: - (*)" 2* + 5* \ \/t f(t) = for t + 0. 3

A:

Q: The hourly wage y of an employee at a certain production company is given by y = 0.25x + 9 where x…

A: Given: y=0.25x+9 where x is the number of units produced by the employee in hour

Q: 6. Given f(x) = x² - 4 and g(x) = 2x – 1, find [ g•f](-2). %D O A. -5 В. -1 Ос. 21

A: Since, we have been given that f(x)=x2-4 and g(x)=2x-1.Our Aim is to calculate g.f(-2)=?

Q: a) evaluate f(2) b) solve for f(x) = 2

A: Given,  We have to  a) evaluate f(2) b) solve for f(x) = 2

Q: Find k (x) if k(x) = e" -x²/3 4 -3/2 3 Provide your answer below:

A: Given that,

Q: B n = q - 9 0.25q =D 0.05n + 9.75 q =n-9 0.05n = 0.25q +9. レ q-9 こn . Given f(x) =(8 – x), what is…

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Q: 12. For f(x) = -3x – 4 evaluate f(n – 6). а.) -Зп - 10 b.) - Зп + 14 с.) -Зп - 22 d.) 18n

A: We can solve this problem using function mapping.

Q: The function f(x) = In(1 – x²) is represented Eo Cnx".

A:

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: for t<-2 for -1<t < 2 for t 22 t+ 6 f(t) = t2 - t 3t-2 _4. What is f (-)? А. -1 B.0 С. 1 D. Does Not…

A: We have  ft=t2            for t&lt;-2t+6t2-t      for -1&lt;t&lt;23t-2       for t≥2   We have to…

Q: a. Determine the values of a and b for flz) = -2x + ax? + bx + 6 so that f (-2) = 0 and f (7) = 0.…

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Q: 4x -1 if - 4sx54 If f(x) = x²- find: (a) f(0), (b) f(1), (c) f(4), and (d) f(6). x° -4 if 4 <x<6 (a)…

A: In a piecewise-defined function fx, the function values at any point  a  can be obtained by using…

Q: Not sure why I got this answer wrong.

A:

Q: 101. If f(x) = 2x° + Ax? + 4x – 5 and f(2) = 5, what is the value of A ? -

A: Given f(x) = 2x3+Ax2+4x-5  and f(2) =5Here we find the value of A

Q: 2 A2. b. Given the two generating functions f(x) = and g(x) = find- (1-x)2 (1-x)2 the generating…

A: We have to find required generating function.

Q: 0-64 N

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Q: 7 – VF+2 (8x– In(x))(x+ – 3) | 4. Find f '(x) if f(x) = You do not have to simplify your final…

A:

Q: 1.a. Determine the values of a and b for fx) =-2x + ax+ bx+ 6 so that f"(-2) = 0 and f"(7) = 0. b.…

A: fx=-2x3+ax2+bx+6 Differentiating w.r.t x- f'x=-6x2+2ax+b Then,…

Q: 16) f(n) = n² – 2n; Find f(n²)

A: Solution:

Q: 54. During a flu outbreak in a school of 763 children, the number of infected children, I, was…

A:

Q: The total monthly revenue R(x) generated from sales of Math t-shirts is related to the amount x…

A: The inflection point of the revenue function is called point of diminishing return. To find the…

Q: 30-4 If f(x) = , then f'(2) - Select one: Oa -6x 6.x 3. + 12x 4. 37-4 O b. 2.

A: For a function f the derivative is defined as f'(x)=limh→0f(x+h)-f(x)h. For some standard functions…

Q: For Ax) = x - 2x+ 7, find (A) ſa) (B) ſa+ h) (C) {a+ h) – Ra) f(a+h)-f(@), h+0 h

A: Given that f(x) = x² - 2x +7 We have to solve following questions.

Q: 3x-2 if -3sX54 If f(x) = find: (a) f(0), (b) f(1), (c) f(4), and (d) f(6). x°-4 if 4<xS6 (a) f(0) =…

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Q: 2 4 Fs [f"(x)] = √ √ ² Pf60) - P²Fs {f(x)] proof: H⋅w.

A: Introduction: A Fourier rework (FT) is a mathematical rework that decomposes capabilities relying on…

Q: x -x-2 Find f"(3) if Ax)- x-2 O a) 1 O b) -1 O c) 2 d) -3

A: using quotient rule

Q: 2D.2. Evaluate L{f (p)) when f (p) has the following forms p2 (p2+ 1) (p2+ 2)' 1 a. (b) p(p-1)3

A:

Q: 1 Q3\ Evaluate f (x-2)(x-3)

A:

Q: Let h(x)=f(x)−g(x). If f(x)=9x2 and g(x)=8x, what is h′(−5)?Do not include "h′(−5)=" in your answer.…

A: We have been given two functions f(x) = 9x^2 and g(x) = 8x and a relationship between functions h(x)…

Q: b) Let X-p(5): Find 1. P(x) 2. F(x) 3. E(x) 4. V(x) 5. P(x=0) 6. P(x>1)

A: Note: " Since you have asked multiple sub-parts, we will solve the first three sub-parts for you. If…

Q: 54. During a flu outbreak in a school of 763 children, the number of infected children, I, was…

A: As two questions are given, I will solve only the first one : We are given :I=192 lnS762-S+763…

Q: 17. Given f(x) = k(2 + x), find the value of k if f(-2) = -3. %3D

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.