About the size of New Jersey, Israel has seen its population sour to more than 6 million since it was established. The graphs show that by 2050, Palestinians in the West Bank, Gaza Strip, anti East Jerusalem will outnumber Israelis. Exercises 7-8 involve the projected growth of these two populations. a. In 2000, the population or the Palestinians in the West Bank, Gaza Strip, and East Jerusalem was approximately 3.2 million and by 2050 it is projected to grow to 12 million. Use the exponential growth model A = A 0 e h t , in which t is the number of years after 2000, to find the exponential growth function that models the data. b. In which year will the Palestinian population be 9 million?
About the size of New Jersey, Israel has seen its population sour to more than 6 million since it was established. The graphs show that by 2050, Palestinians in the West Bank, Gaza Strip, anti East Jerusalem will outnumber Israelis. Exercises 7-8 involve the projected growth of these two populations. a. In 2000, the population or the Palestinians in the West Bank, Gaza Strip, and East Jerusalem was approximately 3.2 million and by 2050 it is projected to grow to 12 million. Use the exponential growth model A = A 0 e h t , in which t is the number of years after 2000, to find the exponential growth function that models the data. b. In which year will the Palestinian population be 9 million?
Solution Summary: The author calculates the exponential growth model to function the growth of population of Palestinians.
About the size of New Jersey, Israel has seen its population sour to more than 6 million since it was established. The graphs show that by 2050, Palestinians in the West Bank, Gaza Strip, anti East Jerusalem will outnumber Israelis. Exercises 7-8 involve the projected growth of these two populations.
a. In 2000, the population or the Palestinians in the West Bank, Gaza Strip, and East Jerusalem was approximately 3.2 million and by 2050 it is projected to grow to 12 million. Use the exponential growth model
A
=
A
0
e
h
t
, in which t is the number of years after 2000, to find the exponential growth function that models the data.
b. In which year will the Palestinian population be 9 million?
Consider the function f(x) = x²-1.
(a) Find the instantaneous rate of change of f(x) at x=1 using the definition of the derivative.
Show all your steps clearly.
(b) Sketch the graph of f(x) around x = 1. Draw the secant line passing through the points on the
graph where x 1 and x->
1+h (for a small positive value of h, illustrate conceptually). Then,
draw the tangent line to the graph at x=1. Explain how the slope of the tangent line relates to the
value you found in part (a).
(c) In a few sentences, explain what the instantaneous rate of change of f(x) at x = 1 represents in
the context of the graph of f(x). How does the rate of change of this function vary at different
points?
1. The graph of ƒ is given. Use the graph to evaluate each of the following values. If a value does not exist,
state that fact.
и
(a) f'(-5)
(b) f'(-3)
(c) f'(0)
(d) f'(5)
2. Find an equation of the tangent line to the graph of y = g(x) at x = 5 if g(5) = −3 and g'(5)
=
4.
-
3. If an equation of the tangent line to the graph of y = f(x) at the point where x 2 is y = 4x — 5, find ƒ(2)
and f'(2).
Does the series converge or diverge
Chapter 3 Solutions
MyLab Math with Pearson eText -- Standalone Access Card -- for Precalculus (6th Edition)
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