Question

Question 1

(a) Find the average value of f(x) = x 2 − 5 + 1 on [−2, 3]

(b) Explain, in full sentences, your thought process and the steps you took in attempting this problem

Answer #1

5. Part I
If f(x) = 2x 2 - 3x + 1, find f(3) - f(2).
A. 0
B. 7
C. 17
Part II
If G( x ) = 5 x - 2, find G-1(x).
A. -5x + 2
B. (x + 2)/5
C. (x/5) + 2
Please help me solve this problem and if you can please also
show or explain how you got that answer. Thank you! :)

(A.) Find the average value of the function f over the
interval [5, 7].
f(x) = 9 − x
(B.) Find the average value of the function f
over the interval [0, 5].
f(x) = (8)/(x+1)

consider the funtion f(x)=3x-5/sqrt x^2+1. given
f'(x)=5x+3/(x^2+1)^3/2 and f''(x)=-10x^2-9x+5/(x^2+1)^5/2
a) Find the domain of f. (write in interval notation):
Df:=_____________?
b) Find the x- and y- intercepts. if any. (write your answers as
ordered pairs).
c) Find the asymptotes of f, if any. If there are not, write
why. (write answers as equations).
d) Find all of the critical numbers of f. on what intervals is f
increasing/decreasing?
show all work

Find the f' (x) for the question below. show all the steps
(a) ?(?) = ?^2 − 4?
(b) ?(?) = ???^2 (?) − ???^2 (?)
(c) ?(?) = ?
(d) ?(?) = ???^2 (?)+ ???^2(?)
(e) ?(?) = 1/ (3 √?2)

Find the average value of the following function where 2≤x≤5
f(x)= sqrt(x^2-4)/x dx

f(x)= -6/x
A.) Find average rate with Intervals 1 to 2, 1 to 1.5, and 1 to
1.1
B.) Find the Instantaneous rate of change when x=1
Please show work so I can learn from asking this question.
Thank you!

Question 1.
Find the equation of the tangent line
of f(x) =3x2-x+2 at x=2
Question 2.
Let g(x)= ln(x) + 3
Is g(x)
increasing at x=1? Justify your answer.
Does
g(x) have any inflection points? Justify your answer

consider the function
f(x)=3x-5/sqrt x^2+1. given f'(x)=5x+3/(x^2+1)^3/2 and
f''(x)=-10x^2-9x+5/(x^2+1)^5/2
a) find the local maximum and minimum values. Justify your
answer using the first or second derivative test . round your
answers to the nearest tenth as needed.
b)find the intervals of concavity and any inflection points of
f. Round to the nearest tenth as needed.
c)graph f(x) and label each important part (domain, x- and y-
intercepts, VA/HA, CN, Increasing/decreasing, local min/max values,
intervals of concavity/ inflection points of f?

Solve the initial value problem to find f(x):ⅆ?/ⅆ?= 1 +
3?2 and ?(−1) = 2

For the problem f(x) = x / x-2 Use interval notation to
determine where f(x) <0 If you could leave your thought process
that would help
I'm confused of the answer

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