a)

b)

c)

Jaden Easton
2021-08-13
Answered

Find the planes tangent to the following surfaces at the indicated points:

a)${x}^{2}+2{y}^{2}+3xz=10$ , at the point ($1,2,\frac{1}{3}$ )

b)${y}^{2}-{x}^{2}=3$ , at the point (1,2,8)

c)$xyz=1$ , at the point (1,1,1)

a)

b)

c)

You can still ask an expert for help

Malena

Answered 2021-08-14
Author has **83** answers

Let

a) Here we set

Now we can calculate:

Using (1) we easily get:

Thus, the tangent plane equation is:

b) Here we set

Now we can calculate:

Using (1) we easily get:

Thus, the tangent plane equation is:

c) Here we set

Using (1) we easily get:

Thus, the tangent plane equation is:

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