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Unformatted text preview: Math 215 Homework Set 3: 14.2 15.4 Winter 2008 Most of the following problems are modiFed versions of homework problems from your text book Multivariable Calculus by James Stewart. 14.2a. Sketch the curve described by the parametric equation r ( t ) = 3 + e t sin( t ) , e t cos( t ) , e t . ind an equation which describes the tangent line to the curve at the point (0 , 1 , 1) . Sketch the tangent line. 14.2b. Problem 50 of 14.2 of Stewarts Multivariable Calculus . (Hint: Consider the function f ( t ) = | r ( t ) | 2 .) 15.1a. Problem 30 of 15.1 of Stewarts Multivariable Calculus . 15.1b. Problems 5560 of 15.1 of Stewarts Multivariable Calculus . 15.1c. Describe the level surfaces of the function f ( x, y, z ) = z 2 + x 2- 2 y 2 . 15.1d. Sketch the graph of the function f ( x, y ) = 7- 3 x- 4 y . 15.1e. Sketch the graph of the function f ( x, y ) = 16- 16 x 2- y 2 15.1f. Draw the circle of radius two centered at (1 , 1 , 1) and lying on the plane x + y + z...
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- Winter '08
- Multivariable Calculus