Quiz3num1 - F. y = 2 | x | = 2 x iF x 2 x iF x >...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
Math21a Quiz#3 Dec 4, 2007 Sec 5-6pm Print Your Name Sign Your Name You have 30 minutes. Each problem is worth 10 points. Showing as much work as possible will guarantee the most credit. Partial credit will be given 1
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
1 . Find the extreme values of the function and where they occur. y = e x e x 2
Background image of page 2
2 . Assume that f is continuous on [ a, b ] and diferen- tiable on ( a, b ). Also assume that f ( a ) and f ( b ) have opposite signs and that f n = 0 between a and b . Show that f ( x ) = 0 exactly once between a and b . 3
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
3 . You are given the frst derivative oF a continuous Function y = f ( x ). ±ind y ′′ and then use the steps taught in chapter 4 to sketch the general shape oF the graph oF
Background image of page 4
Background image of page 5
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: F. y = 2 | x | = 2 x iF x 2 x iF x > 4 4 . A 1125 ft 3 open-top rectangular tank with a square base x ft on a side and y ft deep is to be built with its top Fush with the ground to catch freshmen. The costs associated with the tank invlove not only the ma-terial from which the tank is made but also an excavation charge proportional to the product xy . If the total cost is c = 5( x 2 + 4 xy ) + 10 xy what values of x and y will minimize it? 5...
View Full Document

Page1 / 5

Quiz3num1 - F. y = 2 | x | = 2 x iF x 2 x iF x >...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online