Question: (1 point) Suppose w = 6x2 + 4y, x = 7 cos(t) + 5 sin(t) , and y = 7 cos(t) - 5 sin(t) .




(1 point) Suppose w = 6x2 + 4y, x = 7 cos(t) + 5 sin(t) , and y = 7 cos(t) - 5 sin(t) . Compute dw/dt in two different ways: Find dw/ox and dw/dy as functions of t. aw/ox = awloy = Now use your answers above to find dw/dt using the chain rule. dwldt = Write w as a function of t. W = Now use your answer above to find dw/dt directly. dwldt = Use your answers above to find dw/dt att = . dw =(1 point) Suppose w = In (4x2 + 62 + 3z2 ), x =9 cos(t) , y = 9 sin(t) , and z = 2Vt. Compute dw/dt in two different ways: Find aw/ax, aw/dy, and aw/oz as functions of t. dw/ox = awldy = aw/oz = Now use your answers above to find dw/dt using the chain rule. dwldt = Write w as a function of t. W = Now use your answer above to find dw/dt directly. dwldt = Use your answers above to find dw/dt att = 2. dw | dt It=2
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