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 2 x4 − 4x2 + 4
a) Find the interval of increase.
Find the interval of decrease
(b) Find the local minimum value(s)
Find the local maximum value(s).
(c) Find the inflection points
(x,y) x smaller value
(x,y) x larger value
The values of X1, X2, X3, X4 and X5 are .1, .2, .08, .2 and .3.
Explicate the meaning of those numbers for the Z score. What are
the prospects of this firm? Discuss thoroughly.
1.) Evaluate the given definite integral.
Integral from 4 to 5 dA∫45 (0.2e^−0.2A +3/A) dA
2.) Evaluate the definite integral.
Integral from negative 1 to 1 dx∫−1 1 (x^2+1) dx
3.) Evaluate the definite integral.
Integral from 0 to 2 dx∫02 (2x^2+x+6) dx
4.) Evaluate the definite integral.
Integral from 1 to 4 left dx∫14 (x^3/2+x^1/2−x^−1/2) dx
5.) Evaluate the definite integral.
Integral from negative 2 to negative 1 dx∫−2−1 (3x^−4) dx
1. Find the absolute minimum and maximum value of f(x) = x4 −
18x 2 + 7 (in coordinate form) on [-1,4]
2. If f(x) = x3 − 6x 2 − 15x + 3 discuss whether there are any
absolute minima or maxima on the interval (2,∞)
show work please
Given: f (x) = (x − 2)/(x^2 − x +1)^2 a) Find the intervals
where f(x) is increasing, and decreasing b) Find the intervals
where f(x) is concave up, and concave down c) Find the x-coordinate
of all inflection points.
1. Given f(x) = −(x − 1)
2
(x + 1)
2
(x + 5) Find the following
a. End behavior
b. Find the Zeros
c. Find Multiplicity and touch or cross
d. X and y intercept
e. graph
f(x) = x4 − 128x2 + 7
(a) Find the intervals on which f is increasing or
decreasing. (Enter your answers using interval notation.)
increasing
decreasing
(b) Find the local maximum and minimum values of f. (If an
answer does not exist, enter DNE.)
local minimum value
local maximum value
(c) Find the intervals of concavity and the inflection points.
(Enter your answers using interval notation.)
concave up
concave down
inflection point
(x, y) =
(smaller x-value)
inflection point ...