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I am not able to solve some questions so I decided to post them here. I got answers to some of them and I just want you to check them. But some others I don't understand at all. NOTE : PLEASE DO THE QUESTIONS ONLY IF YOU ARE 100% SURE Here are the questions. #1 - #5 ** ANSWER PROVIDED CHECK IT PLEASE ** 1) Suppose that x^2-6x-3 <= f(x) <= sqrt(9-x^2) on [0,3]. Give upper and lower bounds for lim x->0+ f(x) and lim x->3^- f(x) lim (x^2 - 6x - 3) = -3 as x --> 0+ lim sqrt(9 - x^2) = 3 as x -->0+ -3 = f(x) = 3 lim (x^2 - 6x - 3) = -12 as x --> 3- lim sqrt(9 - x^2) --> 0 as x --> 3- -12 = f(x) = 0 (What is the upper bound and lower bound ? I don't know that.) 2) Does there exist a real number that is exactly one more than its own square root? Justify your answer (hint: intermediate value theorem) x = (sqrt(x)) + 1? f(x) = x - (sqrt x) - 1 > 0? f(0) = -1 f(4) = 1 There is a value a between 0 and 4, where a = (sqrt a) + 1. Namely, a ˜ 2.618. 3) True or False: if f is continuous at c, then 1/f is continuous at c. Justify your answer with a proof or counterexample. If the lim exists for f at c, then the lim exists for 1/f at c also. (I know the sentence but needed a counter example.) 4) Where is the function f(x) = | ln(x)+(sin(e^x)/x^2+5) | defined, and where is it continuous ? f(x) is defined for all x > 0, and is continuous on its domain. (I know the sentence but needed an example.) 5) Determine where the function f(x) = (x^2+5x+6)/(x+3) is discontinuous, and define a continuous extension g of f. I know the function f(x) is discontinuous at x = -2, but I don't know how to define a continuous extension g of f. 6) Evaluate go to this link to see the function because it is confusing if i write it out. The "input" is the function. http://tinyurl.com/3uutnv5 ------------------------------------- There are two more graph questions 1) Sketch the graph of a function f that satisfies all the following conditions: f(0) = 1 f(-1)= -2 lim x->0 f(x) = inf lim x->inf f(x) = 0 lim x-> -inf f(x) = 2 lim x-> -1^+ f(x) = 3 lim x-> -1^- f(x) = 1 I have the graph on the following link. Check it and tell me what is wrong. http://tinyurl.com/3mzb7fb 2) Sketch the graph of a function that has vertical asymptotes at x = -3 and x = 2, horizontal asymptotes at y = 1 and y = 0, and domain (-inf,-3) U (-3,inf) ( I have no idea about this one) ------------------------------------- I appreciate the help a lot. THANKS

I am not able to solve some questions so I decided to post them on yahoo answers. I got answers to some of them and I just want you to check them. But some others I don't understand at all. NOTE : PLEASE DO THE QUESTIONS ONLY IF YOU ARE 100% SURE Here are the questions. #1 - #5 ** ANSWER PROVIDED CHECK IT PLEASE ** 1) Suppose that x^2-6x-3 <= f(x) <= sqrt(9-x^2) on [0,3]. Give upper and lower bounds for lim x->0+ f(x) and lim x->3^- f(x) lim (x^2 - 6x - 3) = -3 as x --> 0+ lim sqrt(9 - x^2) = 3 as x -->0+ -3 = f(x) = 3 lim (x^2 - 6x - 3) = -12 as x --> 3- lim sqrt(9 - x^2) --> 0 as x --> 3- -12 = f(x) = 0 (What is the upper bound and lower bound ? I don't know that.) 2) Does there exist a real number that is exactly one more than its own square root? Justify your answer (hint: intermediate value theorem) x = (sqrt(x)) + 1? f(x) = x - (sqrt x) - 1 > 0? f(0) = -1 f(4) = 1 There is a value a between 0 and 4, where a = (sqrt a) + 1. Namely, a ˜ 2.618. 3) True or False: if f is continuous at c, then 1/f is continuous at c. Justify your answer with a proof or counterexample. If the lim exists for f at c, then the lim exists for 1/f at c also. (I know the sentence but needed a counter example.) 4) Where is the function f(x) = | ln(x)+(sin(e^x)/x^2+5) | defined, and where is it continuous ? f(x) is defined for all x > 0, and is continuous on its domain. (I know the sentence but needed an example.) 5) Determine where the function f(x) = (x^2+5x+6)/(x+3) is discontinuous, and define a continuous extension g of f. I know the function f(x) is discontinuous at x = -2, but I don't know how to define a continuous extension g of f. 6) Evaluate go to this link to see the function because it is confusing if i write it out. The "input" is the function. http://tinyurl.com/3uutnv5 ------------------------------------- There are two more graph questions 1) Sketch the graph of a function f that satisfies all the following conditions: f(0) = 1 f(-1)= -2 lim x->0 f(x) = inf lim x->inf f(x) = 0 lim x-> -inf f(x) = 2 lim x-> -1^+ f(x) = 3 lim x-> -1^- f(x) = 1 I have the graph on the following link. Check it and tell me what is wrong. http://tinyurl.com/3mzb7fb 2) Sketch the graph of a function that has vertical asymptotes at x = -3 and x = 2, horizontal asymptotes at y = 1 and y = 0, and domain (-inf,-3) U (-3,inf) ( I have no idea about this one) ------------------------------------- I appreciate the help a lot. THANKS Omg !! No one wants to help...I am the only person to whom no one has replied. When I really need help no one is gonna help. ughhh .. i am gonna fail this thing.

Can someone help me with redox reactions . It is urgent. Are these half-reactions correct : It is from this equation Mn2+ + NaBiO3 + H+ -----> MnO2 + Bi3+ + Na+ + H2O Mn2+ ---> MnO2 + 2e- NaBiO3 + 2e- ---> Bi3+ This is another equation : Mn2+ + NaBiO3 + H+ -----> MnO4- + Bi3+ + H2O + Na+ I need the oxidation reduction equation for it . Please explain it to me as you do it. Don't just answer it This is another equation: MnO4- + H2O2 + H+ ------> Mn2+ + O2 I don't understand which oxygen will be oxidized since there are two of them on the left one is in MnO4 and one in H2O2...please give me an explanation Thanks. I appreciate the help Report to moderator 98.25.95.12