Solve the problem by integration.The current i (in A) as a function of the time t (in s) in a certain electric circuit is given by   Find the total charge that passes a given point in the circuit during the first three seconds.

A. 1.881 C
B. 7.522 C
C. 3.738 C
D. 3.761 C


Answer: D

Mathematics

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Solve the problem.Richard's team wants to plant 282 trees in 2 months. How many trees per month do they need to plant?

A. 143 trees B. 282 trees C. 151 trees D. 141 trees

Mathematics

State the domain and range in interval notation.f(x) = (x + 6)2 - 2

A. domain: [-2, ?); range: (-?, ?) B. domain: (-?, ?); range: (-?, -2] C. domain: (-?, -2]; range: (-?, ?) D. domain: (-?, ?); range: [-2, ?)

Mathematics

Write the expression as the sum or difference of single logarithms. log7

A. 2log7x + 5log7y - 2log7z
B. log7x + log7y - log7z
C. log7x + log7y - 2log7z
D. log7x ? log7y ÷ 2log7z

Mathematics

Use reduction formulas to evaluate the integral.

A. -  sin 2cos3 2+  +  sin 4+ C
B. -  sin 2cos3 2+  +  sin 4+ C
C. -  sin 2cos3 2+  +  cos 4+ C
D. -  sin 2cos2 2+  +  sin 4+ C

Mathematics