Sketch the graph and show all extrema, inflection points, and asymptotes where applicable.f(x) = ex - 3e-x - 4x
A. Rel max: (0, -2), Rel min: (ln 3, 2 - 4 ln 3)
No inflection points
B. Rel max: (0, -2), Rel min: (ln 3, 2 - 4 ln 3)
Inflection point:
C. Rel min: (2, -1)
No inflection points
D. Rel min:
No inflection points
Answer: B
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Provide an appropriate response.Derive the identity sec-1(-x) = ? - sec-1 x by combining the following two equations:cos-1(-x) = ? - cos-1 xsec-1 x = cos-1(1/x)
What will be an ideal response?
Solve the equation. Use a calculator where appropriate. If the answer is irrational, round to the nearest hundredth.log2 (20 - 4x) = 3
A.
B. -
C. -3
D. 3
Provide an appropriate response.Simple interest is often used when a loan is repaid in a lump sum.
A. True B. False
Solve the problem.The daily profit for a product is given by P = 36x - 0.02x2 - 1600, where x is the number of units produced and sold.a. Graph this function for x between 0 and 2100.b. Describe what happens to the profit of this product when the number of units produced is between 1 and 900. What happens after 900 units are produced? c. Is the graph of this function concave up or down?
A. a.
b. The profit increases.; The profit decreases.
c. The graph is concave up.
B.
a.
b. The profit decreases.; The profit increases.
c. The graph is concave up.
C. a.
b. The profit decreases.; The profit increases.
c. The graph is concave down.
D. a.
b. The profit increases.; The profit decreases.
c. The graph is concave down.