Unformatted text preview: (Hint: An ellipse is the set of points whose distances from the two foci add to a certain constant.) B.2) (After Sept. 21) (a) (5 pts.) Sketch some level curves of the function max(  x  ,  y  ). (b) (10 pts.) Find a function whose level curves are the same as in (a), but rotated 45 ◦ . B.3) (After Sept. 21, 10 pts.) Use the tangent plane approximation formula to estimate the root of x 25 . 99 x + 8 . 02 close to 4 without using a calculator . Then use a calculator to ﬁnd the root to 5 places after the decimal point. Reminder: Please write “Sources consulted: none” at the top of your homework, or list your (animate and inanimate) sources. See the course information sheet for details. 1...
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 Fall '08
 Auroux
 Multivariable Calculus, pts, 1J

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