Question

1.f(x) = -x^3 -3x^2 +9x-2

Find the value of any relative extreme

2.K(t)=40t/t^2+25

(a) Identify the open intervals where K(t) is increasing.

(b)The function is decreasing on the interval(s)

Answer #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

given function f(x)=-x^3+5x^2-3x+2
A) Determine the intervals where F(x) Is increasing and
decreasing
b) use your answer from a to determine any relative maxima or
minima of the function
c) Find that intervals where f(x) is concave up and concave
down and any points of inflection

a. Find the open interval(s) on which the function is
increasing and decreasing.
b. Identify the function's local and absolute extreme values,
if any, saying where they occur.
g(t) = -2t^2 + 3t -4
a. Find the open intervals on which the function is
increasing.
Find the open intervals on which the function is
decreasing.
b. Find each local maximum, if there are any.
Find each local minimum, if there are any.
If the function has extreme values, which of...

Given: f(x) = x^3 + 3x^2 - 9x + 10. (Note: x^3 means x-cubed,
and x^2 means x-squared, respectively.)
use simple words, and use mathematical equations and symbols
when and if necessary, to explain yourself
Discussed the following: the first and second derivative of
f(x); intervals where the curve is increasing and decreasing,
respectively; the critical points; the relative maximum and minimum
points; the point of inflection; where the curve is concave upward
or downward.

Given the function f(x) = x3 - 3x2 - 9x + 10
Find the intervals where it is increasing and
decreasing and find the co-ordinates of the relative maximums &
minimums.
Find the intervals where it is concave up and down and
co-ordinates of any inflection points
Graph the f(x)

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?

f(x)= 1/3x^3-3x2+8x+1 Fin the following:
a) f'(x)
b) The critical numbers
c) State the intervals where the function is increasing and
decreasing. You must state the test values that you are
using but don't have to show plugging the test values into the
corresponding function.
d) State the relative maximum and relative minimum, if any.
If there is no relative maximum and/or relative minimum,
then state none. Round the y-value(s) to 2 decimal places, if
needed.

question #1: Consider the following function.
f(x) =
16 − x2,
x ≤ 0
−7x,
x > 0
(a) Find the critical numbers of f. (Enter your answers
as a comma-separated list.)
x =
(b) Find the open intervals on which the function is increasing or
decreasing. (Enter your answers using interval notation. If an
answer does not exist, enter DNE.)
increasing
decreasing
question#2:
Consider the following function.
f(x) =
2x + 1,
x ≤ −1
x2 − 2,
x...

f(x)=x3-6x2+9x+2 on interval [2,4]
Find any local and absolute extreme values of the function on
the given interval.

4. Given the function y = f(x) = 2x^3 + 3x^2 – 12x +
2
a. Find the intervals where f is increasing/f is
decreasing
b. Find the intervals where f is concave up/f is concave
down
c. Find all relative max and relative min (state which
is which and why)
d. Find all inflection points (also state
why)

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 35 minutes ago

asked 39 minutes ago

asked 39 minutes ago

asked 59 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago