Solve the problem.Use Newton's method to estimate the solution of the equation 
. Start with 
Then, in each case find x2.
What will be an ideal response?
f(x) = 2sin x - 3x + 1
f'(x) = 2 cos x- 3
x1 = 1.5
xn + 1 = 
therefore x2 must be 0.97348352
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A fish population grows according to the logistic model
.
Here t is measured in years and N is measured in thousands of tons.A: Make a graph of the fish population over the first 20 years.B: According to the model, what is the carrying capacity for this fish population in this environment?C: According to the model, what is the optimum yield level for harvesting the fish?D: How long does it take for the fish population to grow from the optimum yield level to 90% of carrying capacity?
?
Round your answers to two decimal places, if necessary.
What will be an ideal response?
Answer the question.Find the direction in which the function is increasing or decreasing most rapidly at the point Po.f(x, y, z) = x
, Po(-1, -1, -1)
A. 
B. 
C. 
D. 
Simplify.
A. 
B. 
C. 
D. 
Solve the problem.An athlete uses three different exercise regimens for increasing cardiovascular fitness. An hour of regimen A rates a 3 in effectiveness, an hour of regimen B rates a 4 in effectiveness, and an hour of regimen C rates a 5 in effectiveness. In any given week, the athlete can train at most 5 hours by regimen A. In any given week the combined hours of regimens A and C may not exceed 8. In any given week the combined hours of regimens B and C may not exceed 10. How many hours of each regimen should the athlete perform in a week in order to maximize the increase in fitness?
A. 3 hours of regimen A, 5 hours of regimen B, 11 hours of regimen C B. 5 hours of regimen A, 7 hours of regimen B, 3 hours of regimen C C. 0 hours of regimen A, 2 hours of regimen B, 8 hours of regimen C D. 4 hours of regimen A, 6 hours of regimen B, 4 hours of regimen C