Evaluate c (y + 8 sin(x)) dx + (z2 + 5 cos(y)) dy + x3 dz where c is the curve r(t) = sin(t), cos(t), sin(2t) , 0 ≤ t ≤ 2π. (hint: observe that c lies on the surface z = 2xy.)

Express in the simplest form: (x^2+9x+14/x^2-49) / (3x+6/x^2+x-56)

Stephen thublin invests $1,000,000 in a 45-day certificate of deposit with 6.55% interest. what is the total interest income from the investment?

Fanny mendelssohn manages all the magazines and paperback books at a local grocery store. she prices many paperbacks to sell at $7.99. the cost to the store is $5.29. what is the markup rate on a paperback book, based on its cost?