math questions?

Question

1 Find the extrema and points of inflection (if any exist) of the function. Use a graphing utility to graph the function and confirm your results.
f(x)=[1/sqrt(2pi)]e^[-(x-3)^2) / 2

2 Find the derivative of the function
a)f(x)=ln[x sqrt(x^2 +1)]
b)f(x)=x^(3/2) log2 sqrt(x+1)
c)f(x)=tan^(-1) e^x +cos^(-1)e^(-x)
d)f(x)=1/x +tanhx

3 Evaluate the following integrals
a)S(x^2 +2x+1)^4 (x+1)dx
b)S 2*sqrt(x)/sqrt(x) dx
c)1/2
S dx/sqrt(1-4x^2)
0
d)2
S s sqrt(4+x^2) dx
0
e)Sx^3 -6x-20/ x+5 dx
f)pi/6
Ssin2xcos^3 2xdx
0

4 Show that f and g are inverse functions (a) anaytically and (b) graphically
f(x)=1/ 1+x, x>=to 0, g(x)=1-x/ x, 0< x <=to 1

5.Verify the identities
a)sinh^2 x=1/2(cosh2x -1)
b)cosh x + cosh y=2coshx+y / 2 coshx-y / 2

6. Use Simpson's Rule to approximate the value of the definite integral for the given value of n. Round your answer to 4 decimal places.
1
Ssinx/x dx, n=10
0

Answer 1

This website might help.

http://www.calc101.com

Answer 2

Dude, that's 16 questions in one. Try asking each one individually. Very few people would have time to answer all of your homework.

2a) ans = x/(sqrt(x^2+1))

2b) ans = 3/2 x^(1/2) log2 (sqrt(x+1)) + 1/2 x^(3/2) / (ln 2 * (x+1))

It would take too long to type all of the work here. Good luck getting the rest of the answers.

Answer 3

This is called homework Help not will u do my homewrok for me. If u are stuck on a problem then that is a different story but nobody is or should answer all your ? from above. Study hard and learn

Answer 4

167

Answer 5

um.... i dont understand the question! mostly cuz im only 12