Suppose that the population of a country in the year 2000 was 19.0 million and grew to 22.6 million in 2010 . Write a model of the form p t − p 0 e " , where p t is the population in millions, t years after the year 2000 . Round the growth rate to 5 decimal places.
Suppose that the population of a country in the year 2000 was 19.0 million and grew to 22.6 million in 2010 . Write a model of the form p t − p 0 e " , where p t is the population in millions, t years after the year 2000 . Round the growth rate to 5 decimal places.
Solution Summary: The author calculates a model of the form P(t)=P_0ekt.
Suppose that the population of a country in the year
2000
was
19.0
million and grew to
22.6
million in
2010
. Write a model of the form
p
t
−
p
0
e
"
,
where
p
t
is the population in millions,
t
years after the year
2000
. Round the growth rate to
5
decimal places.
Use the information to find and compare Δy and dy. (Round your answers to four decimal places.)
y = x4 + 7 x = −3 Δx = dx = 0.01
Δy =
dy =
4. A car travels in a straight line for one hour. Its velocity, v, in miles per hour at six minute intervals is shown
in the table. For each problem, approximate the distance the car traveled (in miles) using the given method,
on the provided interval, and with the given number of rectangles or trapezoids, n.
Time (min) 0 6 12 18|24|30|36|42|48|54|60
Speed (mph) 0 10 20 40 60 50 40 30 40 40 65
a.) Left Rectangles, [0, 30] n=5
b.) Right Rectangles, [24, 42] n=3
c.) Midpoint Rectangles, [24, 60] n=3
d.) Trapezoids, [0, 24] n=4
The bracket BCD is hinged at C and attached to a control cable at B. Let F₁ = 275 N and F2 = 275 N.
F1
B
a=0.18 m
C
A
0.4 m
-0.4 m-
0.24 m
Determine the reaction at C.
The reaction at C
N Z
F2
D
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Area Between The Curve Problem No 1 - Applications Of Definite Integration - Diploma Maths II; Author: Ekeeda;https://www.youtube.com/watch?v=q3ZU0GnGaxA;License: Standard YouTube License, CC-BY