The acceleration function of a body moving along a coordinate line is a(t) = ?7cos2t ? 8sin2t t?0.

Find its velocity and position functions at any time t if it is located at the origin and has an initial velocity of 4 m/sec.


Mathematics

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Find the exact value by using a half-angle identity.cos 

A.   
B.  
C.  
D.  

Mathematics

Solve the problem.The rates of death (in number of deaths per 100,000 population) for 1-4 year olds in the United States between 1980-1995 are given below. (Source: NCHS Data Warehouse) A logarithmic equation that models this data is y = 822.99 - 167.55 ln x where x represents the number of years since 1900. Use this equation to predict the rate of death for 1-4 year olds in 2005.

What will be an ideal response?

Mathematics

Evaluate the expression . ?

A. ?125 B. ?5 C. ?25 D. ?27 E. ?29

Mathematics

Solve.A mine produces an ore that is approximately 50% iron. How much ore must be mined to produce 50 pounds of iron?

A. 1000 lb B. 25 lb C. 10 lb D. 100 lb

Mathematics