# Calculus Problem? Would you mind to guide me on solving it?

• Jan 5th 2011, 03:01 PM
Calculus Problem? Would you mind to guide me on solving it?
Hello to all Mathematicians! Would you mind to help me here?
I've got some Problem and manage to solve some but still not sure on my answer though. Also, please check my answers if they were right or not. If its wrong then please correct me.

Legend:
indefinite integral = indefinite integral sign
sqrt. =square root sign followed by: ( )
^ = exponent
lim = limit
infinity = infinity sign
pi = pi sign

1. indefinite integral of sqrt.of ((1+2x)/1-2x)) dx
2. indefinite integral of (xsin(x))/cos^3(x) dx "where cos^3 (x) not cos(3x)"
3. lim x->-infinity ((x) sqrt. of (sin(2/x^2)))
4. lim x->1- ((pi/6)arcsin(x/2))^(1/arccos(x))
5. Using langrage equation find f(x)=3/2x if x(subscript:0) = 1
6. find the implicit function and fourth derivative function of: x^(3/4) + y^(3/4) =9
7. find the Max and Min of function y=3x + sqrt. of (1-x) in points [-5,1]

1. -x-ln(|(-2x+1)|)+C
2. +C
3. e^(-1/2)
4. e^(pi/6)
5,6,7 ? i dont know how to solve it :(
• Jan 5th 2011, 03:07 PM
dwsmith
1 correct
2 you just have c
3 wrong

Too many questions in one thread

7 Take derivative, set equal to zero, find critical pts, evaluate the intervals and don't forget the end points

6 Do you know implicit differentiation?
• Jan 5th 2011, 03:14 PM
pickslides
Quote:

Originally Posted by dwsmith
Too many questions in one thread

yep, thanks dw, tadomore pls check the forum rules.

Quote:

7. find the Max and Min of function y=3x + sqrt. of (1-x) in points [-5,1]

Solve $\displaystyle \left(3x+\sqrt{1-x}\right)'= 0$
• Jan 6th 2011, 01:27 AM
mr fantastic
Quote:

Hello to all Mathematicians! Would you mind to help me here?
I've got some Problem and manage to solve some but still not sure on my answer though. Also, please check my answers if they were right or not. If its wrong then please correct me.

Legend:
indefinite integral = indefinite integral sign
sqrt. =square root sign followed by: ( )
^ = exponent
lim = limit
infinity = infinity sign
pi = pi sign

1. indefinite integral of sqrt.of ((1+2x)/1-2x)) dx
2. indefinite integral of (xsin(x))/cos^3(x) dx "where cos^3 (x) not cos(3x)"
3. lim x->-infinity ((x) sqrt. of (sin(2/x^2)))
4. lim x->1- ((pi/6)arcsin(x/2))^(1/arccos(x))
5. Using langrage equation find f(x)=3/2x if x(subscript:0) = 1
6. find the implicit function and fourth derivative function of: x^(3/4) + y^(3/4) =9
7. find the Max and Min of function y=3x + sqrt. of (1-x) in points [-5,1]