[17] The function f(t) = 18 sin [2(t-4) ] + 11 shows the height of a piston as it rises and falls over time. For f(t), t is measured in seconds and f(t) is measured in centimeters. 12 For f(t) = 18 sin [2 2 (t-4) J+ 11, name the following features-and SHOW your thinking: 12 [a] Find the amount of time that the piston takes to complete a full cycle. [b] Find the minimum height that the piston can reach.

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Attached you will find practice questions for an upcoming final exam I am preparing for. Be advised, this is not graded work. I submitted  another question on this sheet previously for which I received help. I need help solving question # 17 and need detailed explanation about the steps involved in solving this question. Thank you for your help. 

[16] Write an equation that fits these data for f(x).
X4
X
31
32 33 34 35 36
f(x) 12.60 13
12.60 13 12.6 11.5 10 8.5
SHOW your thinking.
X
44 45 46
41 42 43
47 48 49 50
f(x) 10 11.5 12.6 13
13 12.6 11.5 10 8.5 7.4 7
For f(t)= 18 sin [
37 38 39
40
7.4 7
7.4 8.5
2π
[17] The function f(t) = 18 sin [ ²¹ (t−4) ]+ 11 shows the height of a piston as it rises and
12
falls over time. For f(t), t is measured in seconds and f(t) is measured in centimeters.
2π (t-4)
12
]+11, name the following features-and SHOW your thinking:
[a] Find the amount of time that the piston takes to complete a full cycle.
[b] Find the minimum height that the piston can reach.
[18] The function f(t) = $200 e0.06t tells a financial planner how much money is in an
account that he manages. f(t) is the account value in dollars and t is time in years.
[a] Find the value of the account when the time t = 30 years.
[b] Find the time t when her account will be worth $5,000. Show your thinking.
[19] In A ABC, AB = 5 inches, AC = 7 inches, and BC = 10 inches.
Find m/ C to at least two decimal places. Show your thinking.
Transcribed Image Text:[16] Write an equation that fits these data for f(x). X4 X 31 32 33 34 35 36 f(x) 12.60 13 12.60 13 12.6 11.5 10 8.5 SHOW your thinking. X 44 45 46 41 42 43 47 48 49 50 f(x) 10 11.5 12.6 13 13 12.6 11.5 10 8.5 7.4 7 For f(t)= 18 sin [ 37 38 39 40 7.4 7 7.4 8.5 2π [17] The function f(t) = 18 sin [ ²¹ (t−4) ]+ 11 shows the height of a piston as it rises and 12 falls over time. For f(t), t is measured in seconds and f(t) is measured in centimeters. 2π (t-4) 12 ]+11, name the following features-and SHOW your thinking: [a] Find the amount of time that the piston takes to complete a full cycle. [b] Find the minimum height that the piston can reach. [18] The function f(t) = $200 e0.06t tells a financial planner how much money is in an account that he manages. f(t) is the account value in dollars and t is time in years. [a] Find the value of the account when the time t = 30 years. [b] Find the time t when her account will be worth $5,000. Show your thinking. [19] In A ABC, AB = 5 inches, AC = 7 inches, and BC = 10 inches. Find m/ C to at least two decimal places. Show your thinking.
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