Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the region the integral represents
, and find the area using high school geometry.
(0 → 4) ∫|2x−5|dx
(0 → 4) ∫|2x−5|dx
1 answer:
Answer:
17/2
Step-by-step explanation:
The graph of the given absolute funciton |2xd-5| is attached below
Find the area of each triangle using the graph
Take the area from x=0 to 4
break the graph into two right angle triangle
Area of the triangle = 1/2 times base times height
Green triangle x=2.5 to 4
base = 3/2 and height = 3
Area of green part =
Red triangle x=0 to 2.5
base = 5/2 and height = 5
Area of red part =
Total area=
You might be interested in
A)
B)In 200 times he can hit 59 times !
<u>Step-by-step explanation:</u>
Here we have , A baseball player got a hit 19 times in his last 64 times at bat. We need to find the following :
a. What is the experimental probability that the player gets a hit in an at bat?
According to question ,
Favorable outcomes = 19
Total outcomes = 64
Probability = (Favorable outcomes)/(Total outcomes) i.e.
⇒
⇒
b. If the player comes up to bat 200 times in a season, about how many hits is he likely to get?
According to question , In 64 times he hit 19 times . In 1 time there's probability to hit 0.297 times! So ,In 200 times he can hit :
⇒
⇒ Hit = 59.36
Therefore , In 200 times he can hit 59 times !