Expand the expression using the Binomial Theorem.(x + 7)5
A. x5 + 35x4 + 490x3 + 3430x2 + 12,005x + 16,807
B. x5 + 35x4 + 980x3 + 6860x2 + 12,005x + 7
C. x5 + 35x4 + 490x3 + 3430x2 + 12,005x + 7
D. x5 + 35x4 + 980x3 + 6860x2 + 12,005x + 16,807
Answer: A
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A. - 
+ 
ln
+ C
B. - 
+ 
tan-1 
+ C
C. 
+ 2tan-1
+ C
D. - 
+ 
tan-1
+ C
Verify the identity.sin 4? = 2 sin2? cos2?
What will be an ideal response?
Divide. Express the quotient in lowest terms.
÷ 
A. 
B. 
C. 
D. 
Solve.The population of a particular city is increasing at a rate proportional to its size. It follows the function P(t) = 1 + ke0.03t, where k is a constant and t is the time in years. If the current population is 50,000, in how many years is the population expected to be 125,000? (Round to the nearest year.)
A. 13 yr B. 195 yr C. 31 yr D. 18 yr