Q1.Given: x? – 4 | when x < 2 x - 2 ax? – bx + 3 2х — а + b f(x) = when 2< x < 3 when x> 3 1.Find what values of ( a) and (b) that will make the function continuous (at x=2) and (at x=3) ? 2. Find the domain of function only ?

Q: If f (x) = x? x, match the following expressions to their values.

A: Given that f(x) = x2 - x. Our aim is match the following expression to their values.

Q: 2. Which of the following is NOT a root of the function f(x) = (x² - 36)(x+1)(x- 1)? A -6 B -1 C 1 D…

A:

Q: 1 For what value of x does the function g(x) = 3x³ – 2x² concave downward? A. x ≥ −1 B. x 20 D. x ≤…

A: Given function is g(x)=13x3-2x2. Differentiating with respect to x we get, g'(x)=ddx(13x3-2x2) or,…

Q: What is (are) the inflection point(s) of the function f(x) = xe"? Select one: O A. -1+ V/2, and -1 -…

A: Please find the solution below:

Q: . Let f (x) = 2x + 5 and g(x) = v7x + 4. A. Find (-)(3). Show work. B. Find the domain of the…

A:

Q: 2. How many x-intercepts will the function f(x)=-(x+2) m -2 have if: a. m=3? b. m=4? c. m=2k+1, d.…

A:

Q: Evaluate the function. Find f(2), f(3), and f(2 + h) when f(x) = 2x² + 5x + 2.

A: Given: fx=2x2+5x+2 To Evaluate: f2, f3,  and  f2+h

Q: below. -2 -1 1 2. Intermediate Value Theorem, identify intervals of consecutive integ ave a real…

A: Please refer to the image below

Q: f(x) %3D — х3 + х2 — 8х + 4 1. 3.

A:

Q: 2. Use the function f(x) = -3x + 7 to answer the questions. a. What is f(0) ? b. What is f () ? c.…

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Q: 3. Which of the following statements is correct for the function A(I)=-x²+9x, where A(I) is the area…

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Q: For f (x) = x² + 6 and g(x) = V1 – x find the following values. a. (f + g)(x)

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Q: 2- Find the domain and range of y = 1+x

A: We can solve the given problem using concept of functions. According to bartleby guidelines I have…

Q: 13. Given the function f (x) = 2xv1 – x2. Determine the following: | a. Domain b. X intercept(s)

A: Find the domain and x-intercept

Q: -4x² – 16x + 2; x # –7 f(x) = {"* -2; x = -7 A. -2 < y< 18 В. у S -2 С. y < 18 D. -2 < y< 18 E. not…

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Q: Determine the intervals of concavity for the function 9(x) = xª – x³ - x³ – x² + 8x – 5. Note: If…

A: Concavity.

Q: 173 5. Write the domain of each of the functions in interval notation 2x a. f(x)=- b. g(x)= V1- 3x…

A:

Q: 25. Let f(x) = 5x² + 1. Evaluate and simplify each of the following: f(4)-f(1) 4-1 (A) (Bu PC (B)…

A: Given function is we have to evaluate the following  and simplify them

Q: 3& fcx = √x²₂ 5 fox-flis X-1

A: Given function is f(x)=x+2

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.