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Multivariable calculus

Course: Multivariable calculus > Unit 3

Lesson 1: Tangent planes and local linearization
Math
Multivariable calculus
Applications of multivariable derivatives
Tangent planes and local linearization
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Finding tangent planes

Google Classroom

Problem

Let S be a surface in 3D described by the equation z, equals, sine, left parenthesis, x, y, right parenthesis.
Fill in the rest of the equation of the plane tangent to S at left parenthesis, 0, comma, pi, right parenthesis.
z, equals
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
plus, pi, left parenthesis, x, minus, 0, right parenthesis, plus
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
left parenthesis, y, minus, pi, right parenthesis
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