A function r(x) passes through the points as shown in the table to x 1 2 3 5 r(x) | a b c d ef8h 6 78 11 the right. Which of the following could be a midpoint 11 approximation to | r(x)dx? I. 2b+8f П. 4с + 6g 1. 10е A. I only В. П only C. III only D. I, II, and II

Q: Write the function below in the form y = f(u) and u = g(x). Then find as a function of x. %3D y = V…

A: Given:        y  = 3x2-4x+2

Q: State the domain and range of each function a) b) c) 3₂ f(x) 44 3+ 2 1+ 1+ 2 3 1

A: Domain : Domain of a function are those x-values for which the function is defined.Range : Range of…

Q: 3. Consider the function (x) = 5(x - 4) + 9. Determine A26).[ 3A]

A: Determine   f(2b) f(x) = 5(x - 4) + 9 f(2b) = 5(2b - 4) +9

Q: 5. For what values of x will the function, f(x) = a) -6,0 b) -6, -3,0 x-3 x³+3x²-18x be…

A: Given :f(x)=x-3x3+3x2-18x

Q: 10. What is the number of x-intercepts of the graph of the function y=x +x-12 ? A 0 C1 B 12 D 2…

A:

Q: AD 15. Evaluate the function (x) + 2 when x=0 and x= -3.

A: Here we need to find the values of given functions at given values of x. The solution is following.

Q: Given the function f(x)=(x−1)(x+5)(x−10) Determine the roots of the function f . Enter your answer…

A: We have       f(x) = (x – 1)(x + 5)(x – 10)

Q: 16. What is the range of the function f(x) = 9 + 6x for the domain {-2, 0, 2, 4}?

A:

Q: Terence test to determine if the following tabulated relations is quadratic function or not. Write…

A:

Q: Put in function notation using x as the independent variable: 3x + 3y = -6. O f(x) = x – 6 O f(x) =…

A: Given that       3x + 3y = -6

Q: Find the specified function values using the function. a) g(-7) b) g(2/5)

A:

Q: Q.N.2: Sketch the functions: a: 2xy = -5 b: x²=-4-y c:y²-2y = x + 4, d: sketch the funcion xy = 1, y…

A: We are required to sketch the following functions: 2xy=-5 x2=-4-y y2-2y=x+4 Sketch the function…

Q: Find the value of y when x = 9. given that the function is y = 3sin (x +") – 5. - 5. 4 3

A:

Q: Find the requested function value. X-5 f(x) = 5.9(x)=7x+1 Find (gof)(-10). O A. 207 74 5 O C. - 24…

A: f(x)=x-55g(x)=7x+1(g∘f)(x)=g(f(x))

Q: Find the domain of the following function. h(x,y) = /x- 8y +6 Select the correct choice below and ,…

A:

Q: I. DIRECTIONS: Find the value of f(x+h)-f(x),h#0 for each of the following function. 1. f (x) = 4x +…

A: Given, 1) f(x)=4x+32) f(x)=x2+3

Q: Find the domain of the function. 5х + 2 f(x) = Зх — 4

A: Function is f(x)=5x+23x-4   To find: Domain of f(x)

Q: Help me differentiate and simplify 1a-1d

A: Here we have to find the derivative.

Q: dC dL If 3C +6L-CL2 determine-, where L is an independent variable and C is a function of L

A: The equation in terms of L and C, is

Q: d²w dz² w = 7z² e² Find d²w dz² for the given function. ...

A: Givenw = 7z²ez

Q: x + 2x – 3 x - 4 If a function value does not exist, so state. If f(x) = find the following function…

A: Given:f(x)=x2+2x-3x2-4To find and state if a function value does not exist:a) f(4)b) f(0)c)…

Q: The formula for changing degrees Celcius to degrees Fahrenheit is F= (9C/5) + 32 Which of the…

A:

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.