(→tests solution) |
(→tests solution) |
||
Line 29: | Line 29: | ||
= e^u^2(1/2*x^(-1/2)) | = e^u^2(1/2*x^(-1/2)) | ||
= (e^x)/(2sqrt(x)) | = (e^x)/(2sqrt(x)) | ||
− | lim of x as x goes to inf x/f(x)= | + | |
− | + | b)lim of x as x goes to inf x/f(x)= | |
− | + | lim of x as x goes to inf 1/f'(x)= | |
− | + | lim of x as x goes to inf 1/(e^x/(2sqrt(x))= | |
− | + | lim of x as x goes to inf (2sqrt(x))/(e^x)= | |
− | + | lim of x as x goes to inf 1/(sqrt(x)e^x)= | |
− | 3) | + | 0 |
+ | 3) | ||
4) | 4) |
Revision as of 09:08, 25 September 2008
Contents
Math 181 Honors Calculus
Getting started editing
Lecture Notes
Homework Help
Interesting Articles about Calculus
The minimum volume happens at the average_MA181Fall2008bell
Learn LaTeX_MA181Fall2008bell
tests solution
== test 1 ==
1)
a) b)
2)a) f(x) = int(o,sqrtx)of e^t^2 dt
chain rule where u = squrt x using funamental therem of calc f(u)= int(0,u) of e^t^2 dt = e^u^2(1/2*x^(-1/2)) = (e^x)/(2sqrt(x))
b)lim of x as x goes to inf x/f(x)= lim of x as x goes to inf 1/f'(x)= lim of x as x goes to inf 1/(e^x/(2sqrt(x))= lim of x as x goes to inf (2sqrt(x))/(e^x)= lim of x as x goes to inf 1/(sqrt(x)e^x)= 0
3)
4)
v= 2pi*xbar*A v= int(a,b) of(2pi*x*(f(x)-g(x))) xbar= int(a,b) of(x*(f(x)-g(x)))/A
5)
a) b) c) d)