1. Use the function f(x) = 4x°e* to answer the following problems: (a) On which interval(s) is the function f(x) incrcasing? (b) On which interval(s) is the function f(x) concave upward?

Q: A cat is falling from a branch. Its height t seconds after it fell is given by the function h(t) =…

A: We have given height  ht=-16t2+5 To get for what height cat was falling  Put t=0 h0=0+5 h0=5 height…

Q: 9. for f(x)=3x-5 and g(x)=3x^2-3, find the following functions  a.(f o g)(x)  b. (g o f)(x) c.(f o…

A: Consider the function, To calculate the (f o g) (x),   Substitute the value of g(x) in function…

Q: Does y = (x-5)^(2/3) have a point of inflection?  Discuss.

A: The given function is y=x-523. The objective is to calculate the point of inflection.

Q: is f(x)=3x^3-6 a one to one function if not what are the x values

A: Yes. Given function is one to one function.

Q: Complete the table of values for the function f(x)=−1/4x^2   x f(x)=−1/4x^2 −4   −2   0   2   4

A: f(x)=−1/4x^2

Q: Find the zero(s) (if any) of the function - y=x^2-1x-12 The zero(s) is/are x=

A: To find the zeroes of the given function

Q: find and simplify F(x)= x^2/x-7 F(4x)

A:

Q: For f(x)=x+6sqrtx, find (f^-1) (55)

A: Given data: The given function is f(x)=x+6(x)1/2. The given expression can be written as,…

Q: Find f^-1(x) for f(x)=13+14x

A: Explanation of the answer is as follows

Q: differentiate the function f(x) = x^2(2x+3)^5

A: The given function is f(x) = x^2(2x+3)^5

Q: For the function f(x)= 3x^4+12x^3+13, where is f(x) increasing?

A: Solved below

Q: if f(13)=-6 then f^-1(-6)=?

A: Consider the given function.

Q: Find f(x) if f"(?) = 12x^2+6x−4 and f(0) = 4 and f(2) = 10

A: f''(x)=12x2+6x-4f(0)=4f(2)=10∫xndx=xn+1n+1+c

Q: A drug was administered and the function is:  N(t) = 200(0.85)^(x-1), which represents the amount…

A:

Q: Find the value of a and b in the function f(x)=ab^x, if f(-1)=15 and f(2)=5/9

A: Given function,                               f(x)=abx                               And  f(-1)=15…

Q: Graph the function f(x)=1-(x-1)^2 from x=-1 to x =3

A: we have been given the function f(x)=1-(x-1)2  the given function can be written as…

Q: When differentiating functions, how do you get the answer to the square root of (1-x2)?

A: The given function is,

Q: let f(x)=2x^2+1 and g(x)=3x-5. find the following? a. (f*g)(2)=f(g(2))

A: Given function is f(x)=2x^2+1 and g(x)=3x-5.

Q: given f(x)=20x/x^2-6, for which values is f(x) = -4

A: Dividing by 4 on both sides