Use the given transformation to evaluate the integral.   where R is the trapezoid with vertices at    

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A.  sin 1
B.  sin 1
C.  sin 2
D.  sin 2


Answer: B

Mathematics

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For the function f whose graph is given, determine the limit.Findf(x).

A. does not exist B. ? C. -2 D. 0

Mathematics

Find the indicated limit or state that it does not exist.

A. 1
B.
C. 0
D. No limit

Mathematics

Solve the problem.Suppose that certain bacteria can double their size and divide every 30 minutes. Write a recursive sequence that describes this growth where each value of n represents a 30-minute interval. Let a1 = 424 represent the initial number of bacteria present.

A. a1 = 424; an = 2 an-1  for n > 1.
B. an = 2 a1  for all values of n.
C. a1 = 424; an =  an-1  for n > 1.
D. a1 = 424; an = 2 an+1  for n > 1.

Mathematics

Choose the appropriate sketch for the indicated geometric object.Obtuse angle ?MNP

A.

M?N?P

B.

C.

D.

Mathematics