Hello PurpleMath people!

Here's the question I once again need help with:

If y = [1+tan^(-1)x]^2

prove that:

(1+x^2)^2*(d2y/dx2)+2x(1+x^2)(dy/dx)= 2

Obtain equation relating (d3y/dx3), (d2y/dx2) and (dy/dx)

Thank you pros for helping!

- Sat Apr 19, 2014 3:41 pm
- Forum: Trigonometry
- Topic: Trigonometry Problem:Proving
- Replies:
**1** - Views:
**804**

Hello PurpleMath people!

Here's the question I once again need help with:

If y = [1+tan^(-1)x]^2

prove that:

(1+x^2)^2*(d2y/dx2)+2x(1+x^2)(dy/dx)= 2

Obtain equation relating (d3y/dx3), (d2y/dx2) and (dy/dx)

Thank you pros for helping!

Here's the question I once again need help with:

If y = [1+tan^(-1)x]^2

prove that:

(1+x^2)^2*(d2y/dx2)+2x(1+x^2)(dy/dx)= 2

Obtain equation relating (d3y/dx3), (d2y/dx2) and (dy/dx)

Thank you pros for helping!

- Sat Apr 21, 2012 7:00 am
- Forum: Intermediate Algebra
- Topic: Surds, Indices and Logarithms.
- Replies:
**3** - Views:
**2449**

- Thu Apr 19, 2012 8:33 am
- Forum: Intermediate Algebra
- Topic: Quadratic eqns-sum and product of roots
- Replies:
**1** - Views:
**2493**

The equation 2x^2+px+24=0(where p<0), has roots A and B where A-B=4. Evaluate A and B and hence, or otherwise, find the value of p.

- Thu Apr 19, 2012 8:28 am
- Forum: Intermediate Algebra
- Topic: Surds, Indices and Logarithms.
- Replies:
**3** - Views:
**2449**

Evaluate (log 4 to the base of 5 times log10 to the base of 2)/ log 10^(0.5) to the base of 25 without the use of a calculator.

- Thu Apr 19, 2012 8:25 am
- Forum: Intermediate Algebra
- Topic: Surds and Indices
- Replies:
**1** - Views:
**2172**

Given that 3^(7/2)+3^(5/2)+3^(3/2)+42(3^1/2) may be expressed as 3^k find the value of k. (ans given states k=4.5)

I need to see how the answer is obtained. Thanks for helping.

I need to see how the answer is obtained. Thanks for helping.

- Thu Apr 19, 2012 8:20 am
- Forum: Intermediate Algebra
- Topic: Surds Indices and Logarithms.
- Replies:
**1** - Views:
**1018**

Given that logb(xy^2)=m and logb(x^3y)=n, express logb(y/x) and logb(xy)^0.5 in terms of m and n.

Thanks for helping.

Thanks for helping.