Choose the equivalent expression for the given expression.cos2x

A. 1 -  sec2x 
B. 1 -  sin2x 
C. 1 +  sin2x 
D. sin2x - 1

Answer: B

Mathematics

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One way to weigh a very light object is to weigh a large number of the items and then divide to find the weight of one item. Before dividing, the weight of the packaging must be subtracted to find the net weight. Complete the table below. ?  

A. Net weight: 763 g
Weight of one item in grams: 4 g
Weight of one item in milligrams: 4000 mg
B.

Net weight: 665 g
Weight of one item in grams: 3.5 g 
Weight of one item in milligrams: 3500 mg
C. Net weight: 665 g
Weight of one item in grams: 3.8 g
Weight of one item in milligrams: 3800 mg
D. Net weight: 665 g
Weight of one item in grams: 0.3  g 
Weight of one item in milligrams: 285.71 mg

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Mathematics

Solve the problem. Assume all numbers are approximate unless otherwise stated or the number has been determined by a definition or counting process.A computer hard drive stores exactly 512 bytes of data in each disk sector, and there are exactly 8 sectors in a cluster. If a hard drive contains 1024 clusters, how many bytes of data can be stored?

A. 4,190,000 bytes B. 524,288 bytes C. 4,194,304 bytes D. 4,194,000 bytes

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Mathematics

Evaluate the integral.dx

A.  cot4 x + C
B.  cot2 x + ln  + C
C.  cot4 x sec x + C
D. -  cot2 x - ln  + C

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Mathematics

Solve the problem.Select an appropriate graph of a twice-differentiable function y = f(x) that passes through the points (-,1) , , (0,0),  and (,1), and whose first two derivatives have the following sign patterns.y' : y": 

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A.

B.

C.  

D.

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Mathematics