Use the definite integral to find the area between the x-axis and f(x) over the indicated interval.f(x) = x4 - 4x3 + 4x2; [0, 2]

A.
B.
C.
D.


Answer: A

Mathematics

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Solve the problem.Doctors predict that by administering a vaccine, the number of new cases of a certain childhood disease will decrease by half each year. If 400 people were afflicted with the disease in 2000, estimate the number of new cases in 2005. (Round to the nearest whole number.)

A. 25 new cases in 2005 B. 50 new cases in 2005 C. 13 new cases in 2005 D. 6 new cases in 2005

Mathematics

Write the number in standard notation.A light-year is a measure of length defined as the distance that light travels in one year, which is about  kilometers. Write this number in standard notation.

A. 9,500,000,000,000 B. 9.500000000000 C. 0.0000000000095 D. 9,500,000,000

Mathematics

Find the derivative of the given function. Simplify and express the answer using positive exponents only. ?   ?

A.
B.
C.
D.
E.

Mathematics

Find the exact value by using a half-angle identity.sin 22.5°

A.  
B. -  
C.  
D. -  

Mathematics