100%(1)1 out of 1 people found this document helpful
This preview shows page 3. Sign up to view the full content.
(b) Assume thatgis continuous everywhere. Show thatg+(x) (the positive part ofg(x)) is also continuous everywhere.(c) Express the maximum ofxandyusing the positive part function.Use thatto show that iffandgare continuous functions then the functionh(x) =max(f(x), g(x)) is also continuous.14. Show that the equationx3= sin(x2) + cos(4x+ 3) has at least one solution.15. Show that the functionx-tanxhas infinitely many zeros.16. The functionfis continuous on [0,∞) and limx→∞f(x) = 12. Show thatfis boundedon [0,∞).Ask for help if you think you need itIf you are having trouble with certain type of problems or concepts then you should ask forhelp. Come to one of my or Jo’s office hours and ask questions! If you think you may havetrouble solving problems with a time limit then collect a couple (say five) problems similarto homework problems and try solving them in 90 minutes (with the solutions written upneatly). Remember that it is almost as important that you can present your solutions clearlyas it is to actually find those solutions.GOOD LUCK!3
This is the end of the preview.
to access the rest of the document.
As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.
Temple University Fox School of Business ‘17, Course Hero Intern
I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.
University of Pennsylvania ‘17, Course Hero Intern
The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.