• $f(x) \ge 0$ for all $x$ in the support; this is true, since $e^{-x}>0$ for all $x$ , and multiplying a positive number $x$ doesn't change this fact;

• the integral of $f(x)$ over its support is 1; this is also true, since

$\displaystyle \int_{-\infty}^\infty f(x) \, dx = \int_0^\infty xe^{-x} \, dx = 1$

which can be computed by parts.

3 0

1 year ago

How is Demoragan's law used in logic ?

Mekhanik [1.2K]

Answer:

Step-by-step explanation:

In propositional logic and Boolean algebra, De Morgan's laws are a pair of transformation rules that are both valid rules of inference. ... The rules allow the expression of conjunctions and disjunctions purely in terms of each other via negation.

4 0

3 years ago

Read 2 more answers

Find the slope of the line (2,1) and (3,1)

DochEvi [55]

The slope is 0, it is a straight line.
Hope this helps!

3 0

3 years ago

Jim's cat, c, weighs 7 pounds. His dog weighs six times plus 3 pounds. more than his cat. Which equation represent the dogs weig

Alex17521 [72]

C =7
d is 6 times c+3
d=6c+3

d=6d+3 is equation
(if you sub, you would get 45 is weight)

5 0

3 years ago