Section 11.4

Section 11.4 - (3/7)x + (2/7)y + (6/7)z 12/9/08 7:43 PM...

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12/9/08 7:43 PM Section 11.4 Page 1 of 2 http:[email protected][email protected] Section 11.4 (Homework) MICKLES BRANDON L MA 242, section 008, Fall 2008 Instructor: April Alston Web Assign Current Score: 13 out of 13 Due: Friday, September 26, 2008 10:03 PM EDT Description Tangent Planes and Linear Approximations The due date for this assignment is past. Your work can be viewed below, but no changes can be made. 1. [SCalcCC2 11.4.02.] 2/2 points Find an equation of the tangent plane to the given surface at the specified point. z = e ( x 2 - y 2 ) , (1, -1, 1) z = 2(x-1)+2(y+1)+1 2*x+2*y+1 2. [SCalcCC2 11.4.04.] 2/2 points Find an equation of the tangent plane to the given surface at the specified point. z = y ln x , (1, 2 , 0) z = 2(x-1) 2*x - 2 3. [SCalcCC2 11.4.15.] 3/3 points Find the linear approximation of the function below at (3,2,6). f ( x , y , z ) 7+(3/7)(x-3)+(2/7)(y-2)+(6/7)(z-6)
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Unformatted text preview: (3/7)x + (2/7)y + (6/7)z 12/9/08 7:43 PM Section 11.4 Page 2 of 2 http:[email protected][email protected] Use the linear approximation to approximate the following number. Give your answer correct to 3 decimal places. 6.976 6.976 4. [SCalcCC2 11.4.26.] 3/3 points The dimensions of a closed rectangular box are measured as 80 cm, 60 cm, and 50 cm, respectively, with a possible error of 0.2 cm in each dimension. Use differentials to estimate the maximum error in calculating the surface area of the box. 152 152 cm 2 5. [SCalcCC2 11.4.28.] 3/3 points Use differentials to estimate the amount of metal in a closed cylindrical can that is 10 cm high and 4 cm in diameter if the metal in the top and bottom is 0.1 cm thick and the metal in the sides is 0.05 cm thick. 8.796 8.8 cm 3...
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This note was uploaded on 11/15/2010 for the course MA 242 taught by Professor Bliss during the Spring '08 term at N.C. State.

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Section 11.4 - (3/7)x + (2/7)y + (6/7)z 12/9/08 7:43 PM...

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