Calculus 3 Problem: 5. The velocity field of a fluid flowing through a region in space is

F=-4 xy i+ 8y j +2 k

Find the flow along the curve r(t) = ti+t^2 j+k, ​

Imogene invested $8,000 in a bank account that pays 8 percent simple interest at the end of each year. her friend invested the same amount in stocks where the growth of the investment is represented as 2,000 times the square root of 2 less than the time lapsed in years. if y1 and y2 represent the amount earned in dollars and t is the time lapsed in years, which system of equations correctly represents the situation?

If you are just building your payment history, how many points from a perfect score will you possibly miss?

For each polynomial, determine the degree and write the polynomial in descending order. a. –4x^2 – 12 + 11x^4 b. 2x^5 + 14 – 3x^4 + 7x + 3x^3