les X, y, dinu 2. df z = z(t) is a function of t. Create a tree diagram and write down an expression for that dt comes from applying the Chain Rule. For the function above, assume that x(0) = 2, y(0) = 1, z(0) = 3, and f(2,1,3) = 5. Also assume that x (0) = -7, y' (0) = 13, z' (0) = 11, and f; (2,1,3) = 0, f, (2,1,3) = -9, %D %3D df (2,1,3) = 19. Find the value of (2,1,3). dt

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1. Suppose f (x,y, z) is a function of the variables x, y, and z. Each of x =
x(t), y = y(t), and
df
z = z(t) is a function of t. Create a tree diagram and write down an expression for
that
dt
comes from applying the Chain Rule.
2.
For the function above, assume that x(0) = 2, y(0) = 1, z(0) = 3, and f (2,1,3) = 5. Also
assume that x (0) = -7, y (0) =
13, z' (0) =
= 11, and fr (2,1,3) = 0, fy(2,1,3) = -9,
df
fz(2,1,3) = 19. Find the value of
-(2,1,3).
dt
Transcribed Image Text:1. Suppose f (x,y, z) is a function of the variables x, y, and z. Each of x = x(t), y = y(t), and df z = z(t) is a function of t. Create a tree diagram and write down an expression for that dt comes from applying the Chain Rule. 2. For the function above, assume that x(0) = 2, y(0) = 1, z(0) = 3, and f (2,1,3) = 5. Also assume that x (0) = -7, y (0) = 13, z' (0) = = 11, and fr (2,1,3) = 0, fy(2,1,3) = -9, df fz(2,1,3) = 19. Find the value of -(2,1,3). dt
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