Find the length of the curve.The spiral r = 2?2, 0 ? ? ? 2
A. ?5
B.
C. ((?2 + 1)3/2 - 1)
D.
Answer: D
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Write the function in the form y = f(u) and u = g(x). Then find dy/dx as a function of x.y = cot(5x - 7)
A. y = 5u - 7; u = cot x; = - 5 cot x csc2 x
B. y = cot u; u = 5x - 7; = - 5 cot(5x - 7) csc(5x - 7)
C. y = cot u; u = 5x - 7; = - 5 csc2(5x - 7)
D. y = cot u; u = 5x - 7; = - csc2(5x - 7)
The following data show the number E of elk in a national park t years after 2000. t 0 2 4 5 7 E 3,170 5,531 7,230 9,941 10,430? A: Use logistic regression to model E as a function of t.B: Plot the graph of the data along with the model you found in part A.C: According to the model, what is the carrying capacity for elk in this park?D: When did the elk population reach 90.00% of carrying capacity? ? Round your answers to two decimal places, if necessary.
What will be an ideal response?
Determine the tax rate. Round to the nearest cent or nearest hundredth.Assessed property value: $137,400,000Expenses to be funded by property tax: $5,104,000Tax per amount of assessed value: $1
A. $0.04 per $1 B. $0.27 per $1 C. $0.31 per $1 D. $0.03 per $1
Solve the problem.June wants to work for 12 hours at her part-time job this week. She has already worked 6
hours. How many more hours does she need to work?
A. 6 hr
B. 5 hr
C. 5 hr
D. 4 hr