Question
In: Math
1. What is a critical number of a function f ? What is the connection between...
1. What is a critical number of a function f ? What is the connection between critical numbers and relative extreme values?
2. What are inflection points? How do you find them?
3. What does the sign of the derivative, f ', tell us about the function? What does the sign of the 2nd derivative, f ", tell us about the function?
4. What does it mean to say that a function is concave upward? Concave downward?
5. What does the Extreme Value Theorem say? Explain how to find the absolute extrema of a continuous function on a closed interval.
6. Explain how to use the 2nd derivative to find the relative maxima and relative minima of a function.
7. What is the meaning of Δy/Δx? What is its geometric interpretation? What is the meaning of dy/dx? What is its geometric interpretation?
8. For which functions is dy/dx equal to Δy/Δx?
9. When is dy about equal to Δy?
10. What is marginal cost? If C(x) is a cost function, how would we find the marginal cost when x = 50? What does it represent?
Solutions
milcah answered 2 years agoRelated Solutions
1. What is a critical number of a function f ? What is the connection between critical numbers and relative extreme values?
1. What is a critical number of a function f ? What is the connection between critical numbers and relative extreme values?
2. What are inflection points? How do you find them?
(a) Find the critical numbers of the function f(x) = x8(x − 1)7. (b) What does...
(a) Find the critical numbers of the function
f(x) = x8(x −
1)7.
(b) What does the Second Derivative Test tell you about the
behavior of f at these critical numbers?
(c) What does the First Derivative Test tell you? (Enter your
answers from smallest to largest x value.)
1. Find the critical numbers of the function f (x) = x^3− 12x in the interval...
1.
Find the critical numbers of the function f (x) = x^3− 12x in the
interval [0, 3]. Then find the absolute maximum and the absolute
minimum of f(x) on the interval [0,3].
2. Using only the limit definition of derivative, find the
derivative of f(x) = x^2− 6x (do not use the formulas of
derivatives).
Examine the connection between adolescent decision making and risk taking. What is the connection between the...
Examine the connection between adolescent decision making and
risk taking. What is the connection between the two? How would this
connection potentially conflict with moral and spiritual
beliefs?
The connection between the number of microstates,W, and the entropy, S, of a system is expressed...
The connection between the number of microstates,W, and the
entropy, S, of a system is expressed by the Boltzmann equation
S=klnW where k is the Boltzmann constant per molecule (particle),
1.38×10−23 J/(K⋅particle). From this equation the entropy change,
ΔS, for a system can be related to the change in the number of
microstates as ΔS=klnWfinalWinitial where Wfinal in the final
number of microstates and Winitial is the initial number of
microstates. Part B A gaseous system undergoes a change in...
What is the connection between unemployment and inflation? What are these concepts?
What is the connection between
unemployment and inflation? What are these concepts?What are the different types of
unemployment? How do they affect the economy in terms of growth,
labor force, and price of labor? Cite specific examples to support
your response and what the recent rates of unemployment are.
Investigate either a regional or state unemployment rate and
compare it to the recent national unemployment statistics.
Alternatively, discover how labor force participation, monthly net
employment changes, total employment, or numbers...
what is the connection between the value of share and a Dividend
what is the connection between the value of share and a
Dividend
Consider the function f(x)=(2x−1)e^−6x. Determine the critical point(s) of f and locate all local extrema, then...
Consider the function f(x)=(2x−1)e^−6x. Determine the critical
point(s) of f and locate all local extrema, then select all of the
following that are true of f.
Select all that apply:
f has a local maximum at x=1/3.
f has a local maximum at x=2/3.
f has a local minimum at x=1/3.
f has a local minimum at x=2/3.
What is the critical value of F? Show df.
What is the critical value of F? Show df.k=6 n=6 (between-subjects design)
What is the critical value of F? Show df.k=3 n=10 (between-subjects design)
What is the critical value of F? Show df.
k=6 N=6 (within-subjects design)
What is the critical value of F? Show df.
k=3 N=10 (within-subjects design)
What is the critical value of F? Show df.
k=4 N=8 (within-subjects design)
Both keystone and foundation species are critical to ecosystem function. What are key differences between these...
Both keystone and foundation species are critical to ecosystem
function. What are key differences between these two categories of
species? Do some research on your own about different types of
keystone and foundation species, and describe an example of each.
What would happen if these species were eliminated? Discuss.
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