Convert the rectangular equation to a polar equation that expresses r in terms of ?.y = 2
A. r =
B. r = 2
C. sin ? = 2
D. r =
Answer: A
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Write a chain rule formula for the following derivative. for u = f(v); v = h(s, t)
A. =
B. =
C. =
D. =
You are given the graph of the derivative of a function f.
(a) Determine the intervals on which f is increasing or decreasing.
(b) Find the x-coordinate of the relative maxima and relative minima of f.
Write out the first five terms of the sequence.{sn} = {n - 1}
A. s1= 1, s2= 2, s3= 3, s4= 4, s5= 5 B. s1= 0, s2 = 1, s3 = 2, s4 = 3, s5 = 4 C. s1= -1, s2= 0, s3= 1, s4= 2, s5= 3 D. s1= -4, s2= -3, s3= -2, s4= -1, s5= 0
Solve the problem.The annual population density of a species of insect after n years is modeled by a sequence. Suppose that the initial density of insects is 644 with r = 0.8. Write a recursive sequence that describes this data, where an denotes the insect density during year n.Find the terms a1 , a2 , a3 , ...., a5 . Round to two decimal places, if necessary.
A. a1 = 644, a2 = 1159.20, a3 = 2086.56, a4 = 3755.81, a5 = 6760.45 B. a1 = 515.20, a2 = 412.16, a3 = 329.73, a4 = 263.78, a5 = 211.03 C. a1 = 644 , a2 = 515.20, a3 = 412.16, a4 = 329.73, a5 = 263.78 D. a1 = 644, a2 = 644, a3 = 644, a4 = 644, a5 = 644