Find an equation of the tangent plane to the given

Nann

Nann

Answered question

2021-08-14

Find an equation of the tangent plane to the given surface at the specified point. z=3y22x2+x, (2,1,3)

Answer & Explanation

Pohanginah

Pohanginah

Skilled2021-08-15Added 96 answers

Solve tfor the partial derivative of f with respect to x
fx(x,y)=4x+1
fy(x,y)=6y
At the point (2,1) evaluate
fx=(2,1)=7
At the point (2,-1) evaluate
fy(2,1)=6
Frame the equation of the tangent plane
z+3=fx(2,1)[x2]+fy(2,1)[y+1}
Plug in respective values
z+3=7x+146y6
Simplify
7x6y+5=z

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