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?
1. Determine whether the following sets are subspaces of $\mathbb{R}^3$ under the operations of addition and scalar multiplication defined on $\mathbb{R}^3$. Justify your answers.(a) $W_1=\left\{\left(a_1, a_2, a_3\right) \in \mathbb{R}^3: a_1=3 a_2\right.$ and $\left.a_3=\mid a_2\right\}$(b) $W_2=\left\{\left(a_1, a_2, a_3\right) \in \mathbb{R}^3: a_1=a_3+2\right\}$(c) $W_3=\left\{\left(a_1, a_2, a_3\right) \in \mathbb{R}^3: 2 a_1-7 a_2+a_3=0\right\}$(d) $W_4=\left\{\left(a_1, a_2, a_3\right) \in \mathbb{R}^3: a_1-4 a_2-a_3=0\right\}$(e) $W_s=\left\{\left(a_1, a_2, a_3\right) \in \mathbb{R}^3: a_1+2 a_2-3 a_3=1\right\}$(f) $W_6=\left\{\left(a_1, a_2, a_3\right) \in \mathbb{R}^3: 5 a_1^2-3 a_2^2+6 a_3^2=0\right\}$
3
Evaluate the double integral 10
y√x dy dx. First sketch the area of the integral involved, then
carry out the integral in both ways, first over x and next over y, and vice versa.
Question 2.
i. Suppose that the random variable X takes two possible values 1 and -1, and P(X = 1) =
P(X-1)=1/2. Let Y=-X. Are X and Y the same random variable? Do X and Y
have the same distribution? Explain your answer.
ii. Suppose that the random variable X~N(0, 1), let Y=-X. Are X and Y the same random
variable? Do X and Y have the same distribution? Explain your answer.
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