Question

- Use the given function to answer the following
questions:
**Y = 6X**^{2}– (1/25)X^{3}- Identify the X value for where the Stage II-III boundary occurs (5 pts)

- Identify the X value for where the Stage I-II boundary occurs (5 pts)

- Identify the X value for where the Inflection Point occurs (5 pts)

Answer #1

Use the given function to answer the following questions: Y =
6X2 – (1/25)X3 a. Identify the X value for where the Stage II-III
boundary occurs (5 pts) b. Identify the X value for where the Stage
I-II boundary occurs (5 pts) c. Identify the X value for where the
Inflection Point occurs (5 pts

Given f(x)= x3 -
6x2-15x+30
Determine f ’(x)
Define “critical point” of a function. Then determine the
critical points of f(x).
Use the sign of f ’(x) to determine the interval(s) on which
the function is increasing and the interval(s) on which it is
decreasing.
Use the results from (c) to determine the location and values
(x and y-values of the relative maxima and the relative minima of
f(x).
Determine f ’’(x)
On which intervals is the graph of f(x)...

Given the function g(x) = x3-3x + 1, use the first and second
derivative tests to
(a) Find the intervals where g(x) is increasing and
decreasing.
(b) Find the points where the function reaches all realtive
maxima and minima.
(c) Determine the intervals for which g(x) is concave up and
concave down.
(d) Determine all points of inflection for g(x).
(e) Graph g(x). Label your axes, extrema, and point(s) of
inflection.

Problem 43.)
a.) Use Excel to graph the function f(x) = x3 -6x2 + 9x -6 for
-2 ≤ x ≤ 5. (OK to draw the graph neatly on your homework, or cut
and paste from Excel.)
b.) Does it look the graph has both a relative maximum point
and relative minimum point? Estimate them from the graph.
c.) Find the points where the derivative f ’(x) = 0 and
compare to your answers from (b.)

1. (Continued) Consider the function
(e)
(f)
f (x) = x3 − 7 x + 5. 2
(0.5 pt) Find the possible inflection points of f(x). Show
work.
(0.5 pt) Test the possible inflection points of f(x) to
determine if each point is or is not an inflection point. Your work
must show that you tested each point properly and support your
conclusion. Be sure to state your conclusion. Show work.
(g)
(1 pt) Find the global minimum and global...

Use the following table to answer the following questions
X Y
5 34
6 37
8 41
9 46
10 50
13 53
15 47
17 55
i)Make a scatterplot
ii) Find r to the nearest hundredth
iii) Using scatterplot determine the relationship between X and
Y
iv) Find r 2 and interpret its meaning.
v) Determine the regression equation y’ =

Consider the function f(x) = −x3 + 4x2 + 7x + 1.
(a) Use the first and second derivative tests to determine the
intervals of increase and decrease, the
local maxima and minima, the intervals of concavity, and the
points of inflection.
(b) Use your work in part (a) to compute a suitable table of
x-values and corresponding y-values and carefully sketch the graph
of the function f(x). In your graph, make sure to indicate any
local extrema and any...

Given f(x)= x3-x2; [-1,2] answer the
following questions. a) Find the value(s) of c that satisfies the
Mean Value Theorem. b) Graph the function and explain what your
solutions in part (a) represent.

Consider the following function. (If an answer does not exist,
enter DNE.)
f(x) = 1 +
5
x
−
3
x2
(c) Find the local maximum and minimum values.
(d) Find the interval where the function is concave up. (Enter your
answer using interval notation.)
(e) Find the interval where the function is concave down. (Enter
your answer using interval notation.)
(f) Find the inflection point.
(x, y) =

(i) Given the function f(x) = x3 − 3x + 2
(a) What are the critical values of f?
(b) Find relative maximum/minimum values (if any). (c) Find
possible inflection points of f.
(d) On which intervals is f concave up or down?
(e) Sketch the graph of f.
(ii) Find a horizontal and a vertical asymptote of f(x) = 6x .
8x+3

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 4 minutes ago

asked 6 minutes ago

asked 15 minutes ago

asked 26 minutes ago

asked 31 minutes ago

asked 38 minutes ago

asked 41 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago