Sunday

April 20, 2014

April 20, 2014

Posted by **alan** on Friday, May 20, 2011 at 4:38am.

(ii)use the composite rule and your answer to part (a)(i) to show that the function g(x)=(x-2)/(x^2-6x+23)^(3/2) has derivative g'(x)=(5+9x-2x^2)/(x^2-6x+23)^(5/2).

(iii)find any staionary points of the funtion g(x) defined in part (a)(ii) and use the first derivative test to classify each stationary point as a local maximum or local minimum og g(x).

(iv)using your answers to parts (a)(ii) and (a)(iii) find the area bounded above by the graph of y=(100(2x+1)(5-x))/(x^2-6x+23)^(5/2) and below by the x-axis. give your answer to four significant figures.

(b)(i)using your answer to part (a)(i) find the greneral solution of the differential eqution dy/dx=2/27(x-3)√((x^2-6x+23)/y) (y>0) giving the solution in implicit form.

(ii)find the particular solution of the differntial equation in part (b)(i) for which y=2 when x=1 and the give this particular solution in explicit form.

**Related Questions**

calculus - Please can someone help. I need to use the composite rule to ...

calculus - Please help with this very complicated question! Using 3(x-3)(x^2-6x+...

Calculus - Using 3(x-3)(x^2-6x+23)^1/2, as the chain rule differentiation of f(x...

calculus - I posted this below, and no one answered. Please help with this very ...

calculus - I posted this below, and no one answered. Please help with this very ...

MoRe HeLp PlEaSe!! (calc) - Also can I get some help with this LONG, TIRESOME ...

calculus - Thank you Reiny for replying.I know names have changed. Perhaps I ...

math - can some one please help me with the following questions as i dont ...

algebra - what is a quartic function with only the two real zeros given x=5 and ...

maths - differentiate the following function using the composite rule h(x)=e^x(4...