The temperature at a point sx, yd is Tsx, yd, measured in degrees Celsius. A bug crawls so that its position after t seconds is given by x − s1 1 t , y − 2 1 1 3 t, where x and y are measured in centimeters. The temperature function satisfies Txs2, 3d − 4 and Tys2, 3d − 3. How fast is the temperat

Aleaky 10-kg bucket is lifted from the ground to a height of 15 m at a constant speed with a rope that weighs 0.7 kg/m. initially the bucket contains 45 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 15-m level. find the work done. (use 9.8 m/s2 for g.) show how to approximate the required work by a riemann sum. (let x be the height in meters above the ground. enter xi* as xi.) lim n → ∞ n (9.8)(45−3 xi) i = 1 δx express the work as an integral. 0 dx evaluate the integral. (round your answer to the nearest integer.) j