M20C_Summer_2010_HMWK_3

# M20C_Summer_2010_HMWK_3 - Math 20C(Shenk Summer 2010...

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Math 20C (Shenk). Summer, 2010. Homework 3. Section 14.2 (1, 19), Section 14.3 ( 9, 11, 19, 21, 35, 47, 51a, 59), Section 14.4 (11, 17, 31), Section 14.5 (5, 23, 31, 41), Section 14.7 (5, 7, 9) 1. Give equations of (a) the plane that has slope 3 in the positive x -direction and slope - 5 in the positive y -direction, and whose z -intercept is 10 and (b) the plane that has slope - 4 in the positive x -direction and slope 10 in the positive y -direction and contains the point (5 , 6 , 7). Answer: (a) z = 3 x 5 y + 10 (b) z = 7 4( x 5) + 10( y 6) 2. Find the linear function z = L ( x, y ) with the level curves in Figure 1. - 20 - 10 0 10 20 x 2 y 1 FIGURE 1 Answer: L ( x, y ) = 20 + 10 x + 10 y 3. Values of a function z = P ( x,y ) are given in the next table. Is it possible that P is linear? If so, give a formula for such a function. x = 0 x = 10 x = 20 y = 4 - 12 - 16 - 20 y = 0 0 - 5 - 8 Answer: The function cannot be linear. 4.

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M20C_Summer_2010_HMWK_3 - Math 20C(Shenk Summer 2010...

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