a. The marginal densities

and

b. This can be obtained by integrating the joint density over [0.25, 1] x [0.5, 1]:

I'm guessing that you meant to type 4(x - 3). If that's the case, then you can solve this using the Distributive Property.
4(x - 3) Multiply the number on the outside of the parentheses by both of the numbers on the inside.
(4 · x) - (4 · 3)
(4x) - (12) Now, simplify by taking out the parentheses.
4x - 12
Answer:
(2.3x104)x(1.5x10-2) = 3109.6
Answer:
The answer to your question is below
Step-by-step explanation:
f(x) = 27/x² - 16x
Evaluate the function when x:
x f(x)
-4 27/(-4)² - 16(-4) = 27/16 + 64 = 65.69
-3 27/(-3)² - 16(-3) = 27/9 + 48 = 51
- 2 27/(-2)² - 16(-2) = 27/4 + 32 = 38.75
- 1 27/(-1)² - 16(-1) = 27/1 + 64 = 91
1 27/(1)² - 16(1) = 27/1 - 16 = 11
2 27/(2)² - 16(2) = 27/4 - 32 = -25.25
3 27/(3)² - 16(3) = 27/9 - 48 = -45
See the graph below
Answer is B, 21.6
Let me know if you need an explanation