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f and g are of time, and at time r 3 requals9 and is rising at a rate ofSuras pe

ID: 2882410 • Letter: F

Question

f and g are of time, and at time r 3 requals9 and is rising at a rate ofSuras per second, and g equals 8 and is ising at a rate of gunes per second, thren the product equals at a rate of and is thing at a Eate of fand g are functions of time, and at time 2, fequals 3 and is rising at a rate of 7 unts per second, and gequals 8 and s rising at a rate of 9units per second, then N equals units per second. compensate for dwindling sales, she increasing the unit $7 per T-shirt, but to Tshirts per day, but sales are dropping at a sate of 7 per day She is cumently charging Dorothy Wagner is currently seling 40 prke by $1 per day. How fast, and in what direction, is her daily revenue aumently changino x per Her revenue is decreasing, at a rate of s 1 0 0 a e O Ask me anything

Explanation / Answer

8. f(3) = 9 units , f'(3) = 5units/sec

g(3) = 8 units, g'(3) = 9 units/sec

At t = 3, fg = f(3) x g(3) = 9 x 8 = 72 units

(fg)' = fg' + gf'

At t=3, (fg)'(3) = f(3)g'(3) + g(3)f'(3) = 9 x 9 + 8 x 5 = 81 + 40 = 121 units/second

fg equals = 72 units

fg is rising at a rate of 121 units/second.