Find the integral.

A.  + e2t + C
B.  +  + C
C.  + 2e2t + C
D.  +  + C


Answer: B

Mathematics

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A 1.5-mm layer of paint is applied to one side of the following surfaces. Find the volume of paint needed. Assume that x and y are measured in meters.The spherical zone generated when the upper portion of the circle x2 + y2 = 121 on the interval  is revolved about the x-axis.

A. ? m3
B. 594? m3
C.  m3
D. ? m3

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Solve the problem.Given that  = 184, use the properties of determinants to evaluate .

A. -184 B. 1 C. 0 D. 184

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Construct a truth table for the given statement and then determine if the statement is a tautology.[ (p ? ~ q) ? q ] ? p

A.
  Is a tautology.

B.
  Is a tautology.

C.
  Is not a tautology.

D.
  Is not a tautology.

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Determine whether the variation between the indicated quantities is direct or inverse.The base length and height of a triangle of area 6 cm2 

A. Inverse B. Direct

Mathematics