Express the integrand as a sum of partial fractions and evaluate the integral.

A.  +  ln  + C
B.  +  ln  + C
C.  +  ln  + C
D.  +  ln  + C


Answer: B

Mathematics

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When lines and intersect at point , it follows that .

Answer the following statement true (T) or false (F)

Mathematics

Calculate the flux of the field F across the closed plane curve C.F = e5xi + e2yj; the curve C is the closed counterclockwise path around the triangle with vertices at   and 

A. 3e5( e-1 - 1) + (1 - e6) - 4
B. 3e5(1 - e-1) + (e6 - 1) + 4
C. 0
D. e5(1 - e-5) + (e6 - 1) - 4

Mathematics

Solve the problem. Assume all numbers are approximate unless otherwise stated or the number has been determined by a definition or counting process.An electronics manufacturer lists the frequency of one of its crystals as 5.95 MHz. What are the lowest and highest possible frequencies at which the crystal may oscillate?

A. Only at 5.95 MHz B. 5.945 MHz and 5.954 MHz C. 5.94 MHz and 5.96 MHz D. 5.9 MHz and 6 MHz

Mathematics

Perform the desired operation. Write the answer in the form a + bi.(-2 - 9i)(3 + i)

A. -15 - 29i B. -15 + 25i C. 3 + 25i D. 3 - 29i

Mathematics