Solve. Write the answer in interval notation.


Mathematics

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Find the center of mass of a thin plate covering the given region with the given density function.The region enclosed by the parabolas y = 8 - x2  and y = x2, with density ?(x) = x2

A.  = 4,  = 0
B.  = 0,  = 
C.  = 0,  = 4
D.  = 0,  = 8

Mathematics

Consider a function . When f is not changing, what can be said about ? ?

A.  is positive.
B.  is negative.
C.  is zero.
D.  is increasing.

Mathematics

Determine whether there is a maximum or minimum value for the given function, and find that value.f(x) = x2 - 20x +104

A. Minimum: 4 B. Maximum: 10 C. Maximum: -4 D. Minimum: 0

Mathematics

Solve the problem.Acme Electronics is a company which makes computer chips. The following table gives the revenue, y, in dollars for this company during the three stated years, x. In this table x = 0 corresponds to 1980, while  corresponds to 1986.This set of data can be modeled by f(x) = ax2 + bx + c, where x represents the year. Find a linear system for which the solution represents the values of a, b, and c. Use technology to solve this system. Then, using the quadratic equation, predict the revenue for the year 

src="https://sciemce.com/media/4/ppg__file0518192205__f1q153g3.jpg" alt="" style="vertical-align: -4.0px;" /> Round your answer to the nearest hundred dollars.. A. $1,710,200 B. $1,710,800 C. $1,710,000 D. $1,709,500

Mathematics