(5) Let F(x) = 2- - pln(x²) e-t е * Vt4 +3 dt for x > 0. Find an equation of the line tangent to the graph of y = F(x) at the point x = Show all x = √e. your work. pingulor city depends on the distance r, in km, from
(5) Let F(x) = 2- - pln(x²) e-t е * Vt4 +3 dt for x > 0. Find an equation of the line tangent to the graph of y = F(x) at the point x = Show all x = √e. your work. pingulor city depends on the distance r, in km, from
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...
Related questions
Question
Please do question 5
![Day
Oil consumption rate (liters/hour) 0.019 0.020 0.021 0.023 0.025 0.025 0.02:
F(x) = 2 -
Sun Mon
pln(x²)
شة
Use Simpson's Rule to give the best possible estimate of the total amount of oil con-
sumed by the generator during this time period. State the number of subdivisions.
Include units in your answer. Show all work.
your
(5) Let
et √4+3 dt
Lue
wed I nu
for x > 0.
Note that the population can be modeled by
Fri
√e.
Find an equation of the line tangent to the graph of y = F(x) at the point x =
Show all your work.
f(r) = 10-3r, in thousands of people/km²,
so that the density is greatest at the center and it is zero at the city limits.
(6) The population density in a circular city depends on the distance r, in km, from
the center. The dependence is given by the function
12
Find the radius of the city and its total population. Include units in your answer.
Show all your work.
Sat
2πrf (r) dr where r is the radius.
(7) Consider the region bounded by the graphs of y = e, y =1-
2
5, and x = 2.
mint rule with 4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe55cfba9-7bce-45cb-a868-b9c474dd1b77%2F88282bce-350b-4c45-9bac-0a88ba694c81%2File05x_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Day
Oil consumption rate (liters/hour) 0.019 0.020 0.021 0.023 0.025 0.025 0.02:
F(x) = 2 -
Sun Mon
pln(x²)
شة
Use Simpson's Rule to give the best possible estimate of the total amount of oil con-
sumed by the generator during this time period. State the number of subdivisions.
Include units in your answer. Show all work.
your
(5) Let
et √4+3 dt
Lue
wed I nu
for x > 0.
Note that the population can be modeled by
Fri
√e.
Find an equation of the line tangent to the graph of y = F(x) at the point x =
Show all your work.
f(r) = 10-3r, in thousands of people/km²,
so that the density is greatest at the center and it is zero at the city limits.
(6) The population density in a circular city depends on the distance r, in km, from
the center. The dependence is given by the function
12
Find the radius of the city and its total population. Include units in your answer.
Show all your work.
Sat
2πrf (r) dr where r is the radius.
(7) Consider the region bounded by the graphs of y = e, y =1-
2
5, and x = 2.
mint rule with 4
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