Find the area of the region enclosed between f(x) = x² + x + 16 and g(x) = 2x²-x+1. Area: = (Note: The graph above represents both functions f and g but is intentionally left unlabeled.)

Q: 3x2 - 3 y = x3 - 8 x + 8 g(x) = %3D x - 2 4х - 6 f(x) = %3D x2 - 4 x2 - 4x - 32 y%3D x2 + 6x- 16 x2…

A:

Q: R(x) (x – 1) (x + 2)

A: Now, to draw the graph of the function Rx=xx-1x+2, the asymptotes have to be first calculated.…

Q: Find the domain of the function.

A: Domain are the set of real numbers for which the function is defined For square root part, square…

Q: 1 1-) f(x) = ?+ 2x - 1

A: The graph of the given fuction Drwan in the last step , at first we describe how t

Q: Graph each function

A: Rx=3x-1x2-4

Q: 2. Find the Domain of the function: h (x) = 4x x (x² – 9)

A: Given function h(x)=4xx(x2-9)

Q: Does S = {x² + 1,x² – 1, 2x – 1} span P2?

A: we know dimension of P2 is 3 so any set which span P2 must have at least 3 elements. here given set…

Q: Write a function of a square root BLUE graph in the form: f(x) = a/x±b ± C (4, 2). |(-2, –3) (2, –7)…

A: The vertical shift in the graph of y=f(x) is represented by the transformation function, y=f(x)±n.…

Q: Find the points on the graph of the function f that are closest to the point (a, b) by minimizing…

A:

Q: Vx² + 1 +x lim X ∞ 4xr -1 II

A:

Q: ) Solve ac-4xdx+ xly=0 using the integrating factor M= to

A: The differential equation is given as 2y-4x2dx+xdy=0 It can be rewritten as…

Q: Specify the symmetry of the following functions: 10 (d) 0(x1, x2) = e-l#il X2+3

A: We need to find the symmetry of the function in part (d). We know that a function f is symmetric if…

Q: Let f(x) = -3x² and g(x) = 2x – 6. Find and simplify_the following. | g(f(x)) = b. f(g(x)) =

A: f(x)=-3x2, g(x)=2x-6a) g(f(x))=g(-3x2)=2(-3x2)-6=-6x2-6g(f(x))=-6x2-6

Q: x2 – 4x – 45 Let f(x) = x - 3 Write the domain of f as an interval.

A: