(d) At what week in the interval is g(t) increasing the fastest? (e) Calculate the integral (f(t) – 9(t))dt.

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Chapter8: Conic Sections
Section8.2: More Parabolas And Some Circles
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I need urgent assistance with d, e, f and g PLEASE

29
(a) Are D(t) and E(t) functions or not? Explain your answer.
(b) Solve for a and b if the maximum value of f(t) on the interval [0, 48] is at the point
(32; 24900).
(c) At what week in the interval is g(t) at its minimum?
(d) At what week in the interval is g(t) increasing the fastest?
-48
(e) Calculate the integral (f(t) – 9(t))dt.
(f) Explain clearly what the units are for your answer in (e) and what it represents.
(g) In a short paragraph or two explain why the integral in (e) may be the best way to
calculate the impact of the COVID-19 pandemic on people's lives.
Transcribed Image Text:29 (a) Are D(t) and E(t) functions or not? Explain your answer. (b) Solve for a and b if the maximum value of f(t) on the interval [0, 48] is at the point (32; 24900). (c) At what week in the interval is g(t) at its minimum? (d) At what week in the interval is g(t) increasing the fastest? -48 (e) Calculate the integral (f(t) – 9(t))dt. (f) Explain clearly what the units are for your answer in (e) and what it represents. (g) In a short paragraph or two explain why the integral in (e) may be the best way to calculate the impact of the COVID-19 pandemic on people's lives.
The functions f(t) and g(t) have similar shapes to D(t) and E(t) respectively. They are
sketched below on the interval [0, 48], measuring t in weeks and taking t = 0 on 1 June
2020.
23
+
16
3945 3
8695 2 + 7176t +b
a
f(t) =
256
64
g(t) = 2000 cos
30
+ 8500
Transcribed Image Text:The functions f(t) and g(t) have similar shapes to D(t) and E(t) respectively. They are sketched below on the interval [0, 48], measuring t in weeks and taking t = 0 on 1 June 2020. 23 + 16 3945 3 8695 2 + 7176t +b a f(t) = 256 64 g(t) = 2000 cos 30 + 8500
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