Answer:
(m³/3 + 5m/2 + 3)pi
Step-by-step explanation:
pi integral [(f(x))² - (g(x))²]
Limits 0 to 1
pi × integral [(2+mx)² - (1-mx)²]
pi × integral[4 + 4mx + m²x² - 1 + 2mx - m²x²]
pi × integral [m²x² + 5mx + 3]
pi × [m²x³/3 + 5mx²/2 + 3x]
Upper limit - lower limit
pi × [m²/3 + 5m/2 + 3]
Verification:
m = 0
[pi × 2² × 1] - [pi × 1² × 1] = 3pi
[m³/3 + 5m/2 + 3]pi
m = 0
3pi
The domain is infinite and the range is 0 (possibly infinite as well).
The most appropriate choice for sentence correction will be given by:
<h3>What is sentence correction?</h3>
Sentence correction is a type of grammatical practice where a sentence is given with a word or a phrase that requires grammatical changes or improvement.
Now,
- In the given sentence, "Wilmers and Estes caution, however, that <u>having more otters</u> will not automatically solve the problem of higher levels of carbon dioxide in the air".
- The most appropriate choice for sentence correction will be given by: the otters multiplying (option B).
To learn more about sentence correction, refer to the link: brainly.com/question/14632568
#SPJ4
Answer:
15.4%
Step-by-step explanation:
Calculate the volume of both containers.
The volume (V) of a cylinder is calculated as
V = πr²h ( r is the radius and h the height )
= π × 10² × 11 = 1100π ft³
= π × 7² × 19 = 931π ft³
Subtract volume of B from volume of A to find quantity left in A
quantity left in A = 1100π - 931π = 169π ft³
To calculate the percentage left in A after B has been filled
× 100%
=
× 100%
=
× 100%
= 15.4% ( to the nearest tenth )