Consider the following. w = xy^2 + x^2z + yz^2, x = t^2, y = 7t, z = 7 (a) Find dw/dt using the appropriate Chain Rule. dw/dt = (b) Find dw/dt by converting w to a function of t before differentiating. dw/dt =
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Consider the following: w = xy^2 + x^2z + yz^2, x = t^2, y = 7t, z = 7 (a) Find dw/dt using the appropriate Chain Rule dw/dt (b) Find dw/dt by converting w to a function of t before differentiating dw/dt
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Find $d w / d t$ (a) by using the appropriate Chain Rule and (b) by converting w to a function of $t$ before differentiating. $$w=x y^{2}+x^{2} z+y z^{2}, \quad x=t^{2}, \quad y=2 t, \quad z=2$$
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Let w = (x^2 - z) / y^4, x = t^3 + 7, y = cos(2t), z = 4t. Use the Chain Rule to express dw/dt in terms of t. Then evaluate dw/dt at t = π/2.
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