xy Consider_w = F(x,y,z) = x²yz + ² Z a. Find the equation of the tangent when x = 1, y =3, z = 1

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.1: Antiderivatives
Problem 7YT: YOUR TURN Find an equation of the curve whose tangent line has slope f(x)=3x1/2+4 and passes through...
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▪Consider w = F(x,y,z) = x²yz + xy
Z
a. Find the equation of the tangent when x = 1, y =3, z = 1
b.
As you move in space from (1,3,1) towards (-2,5,4), at what rate is w changing
Consider the graph of F(x,y,z) = 6 in 3-D space.
i. Write down the equation for this
ii.
Find the equation of the tangent to this at the point (1,3,1)
C.
Transcribed Image Text:▪Consider w = F(x,y,z) = x²yz + xy Z a. Find the equation of the tangent when x = 1, y =3, z = 1 b. As you move in space from (1,3,1) towards (-2,5,4), at what rate is w changing Consider the graph of F(x,y,z) = 6 in 3-D space. i. Write down the equation for this ii. Find the equation of the tangent to this at the point (1,3,1) C.
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