Q. Find the work done by the force field F on a particle that moves along the curve C.

F (x, y, z) = (x+y) i + xy j - z^2 k

C: along line segments from (0,0,0) to (1,3,1) to (2,-1,4)

Maggie's brother is 6 years younger than three times her age. The sum of their ages is 42. How old is Maggie?

Which exponential function have been simplified correctly?

Angelina drove at an average rate of 80kph and then stopped 20 minutes for gas. After the stop, she drove at an average rate of 100kph. Altogether she drove 250 km in a total trip time of 3 hours including the stop.

A medical plan requires a patient to pay a $25.00 copay plus 20% of all charges incurred for a medical procedure. If the average bill for a patient is between $200 and $800, find the range of the original bill.

Bill went to the truck for one day there was a base fee of $16.99 there was an additional charge of $0.97 for each mile driven. Bill had to pay $173.16 when he returned the truck. for how many miles did he drive the truck?

If y various directly with x, write an equation for the direct variations. The find each value. 1.) If y = - 4 when x = 10, find y when x = 5 2.) If y = 12 When x = - 15, find y when x = 2 3.

89 (54x - 36) + 2 = - 3/4 (-40 + 16x) + 90xsolve for x

The ratio of cars to vans in a parking lot is 1 to 4. If there are 40 cars and vans in the parking lot altogether then how many vans are there?

Geoffrey's babysitter stayed from 6:25 P. M. until 10:40 P. M. For how much time does the babysitter need to be paid?

What is equivalent to 4b? A) b+2 (b+2b) B) 3b+b C) 2 (2b)