LARCALC11 13.5.043.
Let w = f(x, y), x = g(t), and y = h(t), where f, g, and h are differentiable. Use the appropriate Chain Rule and the table of values to find dw/dt when t = 2.
(dw)/(dt) =
able[[g(2), h(2), g'(2), h'(2), f_x(4,3), f_y(4,3)
9.
LARCALC11 13.5.043
Let w = f(x, y), x = g(t), and y = h(t), where f, g, and h are differentiable. Use the appropriate Chain Rule and the table of values to find dw/dt when t = 2.
dw/dt X
g(2) h(2) g'(2) h'(2) f_x(4,3) f_y(4,3) 4 3 -1 10 -7 2
LARCALC11 13.5.051.
An annular cylinder has an inside radius of r and an outside radius of r2 (see figure). Its moment of inertia is
at which I is changing at the instant the radii are 7 centimeters and 10 centimeters. (Assume mass is a constant.) cm^2/sec
T2 -