Another function whose graph has a similar shape to the graphs in question 3 is ket f(t) = (1+et)² where k is a fixed constant. (a) A sketch of the graph off is given below. Showing all your working, find the coordinates of the turning point on the graph if k = 1500. (b) Find the general antiderivative F(t) of f(t), i.e. calculate f(t) dt with k = 1500. (c) Your formula for F(t) will have a general constant C. Choose the value(s) for C so that the graph of F(t) looks like the sketch below, with horizontal asymptotes y = 0 and y = 1500.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
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My question is stated in the two images uploaded, please help answer it from 4 (a) to 4 (e).

Another function whose graph has a similar shape to the graphs in question 3 is
ket
f(t) =
(1+et)²
where k is a fixed constant.
(a) A sketch of the graph off is given below.
Showing all your working, find the coordinates of the turning point on the graph if
k = 1500.
(b) Find the general antiderivative F(t) of f(t), i.e. calculate
f(t)
dt with k = 1500.
(c) Your formula for F(t) will have a general constant C. Choose the value(s) for C so
that the graph of F(t) looks like the sketch below, with horizontal asymptotes y = 0
and y = 1500.
Transcribed Image Text:Another function whose graph has a similar shape to the graphs in question 3 is ket f(t) = (1+et)² where k is a fixed constant. (a) A sketch of the graph off is given below. Showing all your working, find the coordinates of the turning point on the graph if k = 1500. (b) Find the general antiderivative F(t) of f(t), i.e. calculate f(t) dt with k = 1500. (c) Your formula for F(t) will have a general constant C. Choose the value(s) for C so that the graph of F(t) looks like the sketch below, with horizontal asymptotes y = 0 and y = 1500.
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