Data from a 20-yr study show the number of new AIDS cases diagnosed among 20- to 24-yr-olds in the United States x years after the study began. a. Approximate the interval(s) over which the number of new AIDS cases among 20- to 24-yr-olds increased. b. Approximate the interval(s) over which the number of new AIDS cases among 20- to 24-yr-olds decreased. c. How many turning points does the graph show? d. Based on the number of turning points, what is the minimum degree of a polynomial function that could be used to model the data? Would the leading coefficient be positive or negative? e. How many years after the study began was the number of new AIDS cases among 20- to 24-yr-olds the greatest? f. What was the maximum number of new cases diagnosed in a single year?
Data from a 20-yr study show the number of new AIDS cases diagnosed among 20- to 24-yr-olds in the United States x years after the study began. a. Approximate the interval(s) over which the number of new AIDS cases among 20- to 24-yr-olds increased. b. Approximate the interval(s) over which the number of new AIDS cases among 20- to 24-yr-olds decreased. c. How many turning points does the graph show? d. Based on the number of turning points, what is the minimum degree of a polynomial function that could be used to model the data? Would the leading coefficient be positive or negative? e. How many years after the study began was the number of new AIDS cases among 20- to 24-yr-olds the greatest? f. What was the maximum number of new cases diagnosed in a single year?
Data from a 20-yr study show the number of new AIDS cases diagnosed among 20- to 24-yr-olds in the United States x years after the study began.
a. Approximate the interval(s) over which the number of new AIDS cases among 20- to 24-yr-olds increased.
b. Approximate the interval(s) over which the number of new AIDS cases among 20- to 24-yr-olds decreased.
c. How many turning points does the graph show?
d. Based on the number of turning points, what is the minimum degree of a polynomial function that could be used to model the data? Would the leading coefficient be positive or negative?
e. How many years after the study began was the number of new AIDS cases among 20- to 24-yr-olds the greatest?
f. What was the maximum number of new cases diagnosed in a single year?
3.1 Limits
1. If lim f(x)=-6 and lim f(x)=5, then lim f(x). Explain your choice.
x+3°
x+3*
x+3
(a) Is 5
(c) Does not exist
(b) is 6
(d) is infinite
1 pts
Let F and G be vector fields such that ▼ × F(0, 0, 0) = (0.76, -9.78, 3.29), G(0, 0, 0) = (−3.99, 6.15, 2.94), and
G is irrotational. Then sin(5V (F × G)) at (0, 0, 0) is
Question 1
-0.246
0.072
-0.934
0.478
-0.914
-0.855
0.710
0.262
.
2. Answer the following questions.
(A) [50%] Given the vector field F(x, y, z) = (x²y, e", yz²), verify the differential identity
Vx (VF) V(V •F) - V²F
(B) [50%] Remark. You are confined to use the differential identities.
Let u and v be scalar fields, and F be a vector field given by
F = (Vu) x (Vv)
(i) Show that F is solenoidal (or incompressible).
(ii) Show that
G =
(uvv – vVu)
is a vector potential for F.
College Algebra with Modeling & Visualization (5th Edition)
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