For exercises 37-44, write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form (if possible) and in standard form A x + B y = C with fractional coefficients. (See Example 3-4) Passes through 6 , 8 and is parallel to the line defined by 3 x = 7 y + 5.
For exercises 37-44, write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form (if possible) and in standard form A x + B y = C with fractional coefficients. (See Example 3-4) Passes through 6 , 8 and is parallel to the line defined by 3 x = 7 y + 5.
Solution Summary: The author calculates the equation of the line passing through (6,8) and parallel to 3x=7y+5 in slope intercept form and standard form with no tional coefficients.
For exercises 37-44, write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form (if possible) and in standard form
A
x
+
B
y
=
C
with fractional coefficients. (See Example 3-4)
Passes through
6
,
8
and is parallel to the line defined by 3
x
=
7
y
+
5.
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.
Problem 4. Let
f(x, y) =
{
Find P(X <1/2|Y = 1/2).
c(x + y²) 0
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