Expand the expression using the Binomial Theorem.(5m + 3)4
A. 625m3 + 1500m2 + 1350m + 540
B. 625m4 + 81m4
C. 1875m4 + 4500m3 + 1350m2 + 1620m + 81
D. 625m4 + 1500m3 + 1350m2 + 540m + 81
Answer: D
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Find the gradient field F of the function f.f(x, y, z) = x4e5x + y5z5
A. F = (4 + 5x)x3e5xi + 5y4z5j + 5y5z4k B. F = (4 + 5x)x3e5xi + 5y4j + 5z4k C. F = (1 + x)x3e5xi + y4z5j + y5z4k D. F = (4 + 5x)x3e5xi + (x4e5x + 5y4z5)j + (x4e5x + 5y5z4)k
Express the integrand as a sum of partial fractions and evaluate the integral.
A. - 
+ 6ln
+ 6ln
+ C
B. -12 ln
+ 
tan-1 
+ C
C. -12 ln
+ 6ln
+ 6ln
+ C
D. 12 ln
- 6ln
- 6ln
+ C
Solve the inequality and write the solution set in interval notation.ln x ? 2
A. [0, e2) B. (0, e2) C. (-?, 2] D. (-?, 2)
If the sequence is geometric, find the common ratio. If the sequence is not geometric, say so.2, 6, 18, 54, 162
A. 6 B. 3 C. 1/3 D. Not geometric