Answer:
a) 
b) 
c) 
In the figure attached we have the illustration for the probability for each part.
Step-by-step explanation:
For this case we define the random variable X as the voltages in a circuit and the distribution for X is given by:
Part a
we want this probability:
We can use the cumulative distirbution function given by:
And using the complement rule we have this:
Part b
We want this probability:
And using the cumulative distirbution function we got:
Part c
We want this probability:
And using the cumulative distirbution function we got:
In the figure attached we have the illustration for the probability for each part.
Answer: 
Step-by-step explanation:
You can find the value of "c" that will make it a perfect square trinomial by Completing the square.
Given the following expression provided in the exercise:
You can notice that it is written in this form:
Then, you can identify that the coefficient "b" is:
Since to complete the square you must add and subtract the half of square of coefficient "b", you can conclude that:
Therefore, substituting "b" into , you get:
Answer:
B
Step-by-step explanation:
Solution to these system of equations is where they intercept
A) can be done using u-substitution .... Let u = x^2, du = 2x dx
C) can be done using trig identity ... cos(2x) = 1 - 2sin^2
B) can only be done using integration by parts. It is a product of 2 distinct functions and a u-sub does not simplify the integral.
Adjacent angles are the angles that share a common vertex but no common interior points.
