b) f(x) = x* + 29x² + 100.

Q: Determine 04 O4h 05 O 5h f(2+h)-f(2) h if f(x) = 5x 6.

A:

Q: Differentiate: y = (2a° – 4x² + 8)* (2² – 5e³*)²

A: Product Rule of Differentiation : ddx(uv) = ddx(u) · v + u · ddx(v)

Q: Let f(x) = 5x² to f(6 + h). ƒ(6 + h) − ƒ(6) = 6x + 6. If f(6) = 150 and h = 5, determine the amount…

A: Given function:- fx=5x2-6x+6

Q: Let f(x) = 3x– 5x + 13 and g(x) = 2x- 7. what is g (f (x)) 6x2 – 10x + 19 1222 - 89x + 160 3x2 - 3x…

A: Given:     To determine: g(f(x))

Q: Write f(x)=3x^3-3x in terms of y

A:

Q: F(x)=x^2-5 subtract 1 then square

A:

Q: Find f(-2) for f(x)=3x/x^2-2x-8

A:

Q: Find the inflection points for the function f(x) = 2x6 + 3x5 – 10x*. -

A: Note :- Inflexian points of a function can be calculate by putting f"(x) =0 and solve for x.  We get…

Q: A person standing on a bridge over a river throws a stone such that the height H (in feet) above the…

A: We can find out the solution by following method.

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.