Use the Product Rule to find the derivative of the function. Select the correct answer.



a. 8x

b. 2x + 4

c. 12 + 10x ? 32

d. 8 ? 40


c. 12 + 10x ? 32

Mathematics

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Express the expanded form as a Hindu-Arabic numeral.(9 × 106) + (5 × 105) + (4 × 104) + (8 × 103) + (5 × 102) + (9 × 101) + (6 × 1)

A. 46 B. 9,548,596 C. 460 D. 388,800

Mathematics

Solve the problem.If x dollars is deposited every four weeks (13 times a year) into an account paying an annual interest rate r, expressed in decimal form, then the amount An in the account after n years can be approximated by the formula  If $30 is deposited every four weeks into an account paying 4% interest, approximate the amount in the account after 19 years.

A. $23,985.00 B. $11,073.88 C. $369.13 D. $5195.59

Mathematics

Find the indicated rate.The city where Lu Na lives has a population of 2,433,982 people and an area of 109.9 square miles. What is the rate of number of people per square mile (the population density)?  

A. 267,494,622 people/sq mi B. 0.0000452 people/sq mi C. 23,255 people/sq mi D. 22,147 people/sq mi

Mathematics

Name the quadrant, if any, in which the point is located.(0, -20)

A. None B. III C. II D. IV

Mathematics