Tangent Plane to the Surface


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question 1 of 3

The gradient of x2 + y2 + z2 is _____.

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1. The gradient of a function is x i + y/3 j+ 2z k. Evaluating this gradient at the point (.25, .5, -1) gives _____.

2. The plane tangent to a surface is _____.

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About This Quiz & Worksheet

With this quiz and worksheet combination, you can see how much you know about the tangent plane to the surface. Questions ask you about the gradient of an equation, as well as simplifying a given equation.

Quiz & Worksheet Goals

You can check your knowledge of the following topics with the questions on the quiz:

  • Simplifying an equation
  • A point's relation to a surface
  • Evaluating a gradient at a given point
  • Characteristic of a plane tangent to a surface

Skills Practiced

  • Information recall - remember what you have learned about simplifying equations
  • Defining key concepts - ensure that you can give a description of plane tangent to a surface
  • Problem solving - use what you know to answer questions about gradients

Additional Learning

For more on the concept, look over the lesson titled Tangent Plane to the Surface. Viewing this lesson gives you access to the other content profiled in the list below:

  • A written definition of a gradient
  • Point-slope form
  • Parabolas