a) 
because it is equal to the area of the shaded region between X=4 and X=6, and the probability that X falls within some interval is given by the area under the PDF.
b) 
because the shaded region is a rectangle of height 1/5 (by virtue of X following a uniform distribution over the interval [2, 7], which has length 5).
=(-4/5)^2 * -3/50
square -4/5 first; remember -4/5^2 is the same as -4/5 * -4/5
=(-4/5 * -4/5) * -3/50
multiply -4 numerators; multiply 5 denominators
=(-4 * -4)/(5 * 5) * -3/50
=16/25 * -3/50
multiply numerators 16 & -3; multiply denominators 25 & 50
=(16 * -3)/(25 * 50)
= -48/1250
simplify by 2
= -24/625 (or -0.0384)
ANSWER: -24/625 (or -0.0384)
Hope this helps! :)
Your answer would be f(0)=7.07
1. Substitute 0 into x.
2(0)^2+5√(0+2)
2. Simplify
2(0)+5√2
0+5√2
5√2
7.07
This is the simplest and rounded form, therefore, it is the answer to your question.
Answer: Determine whether (–x)3 + 5(–x) + 1 is equivalent to x3 + 5x + 1.
To determine if a function is even, we need to check if f(-x)=f(x).
