# Search results

1. ### Can't get this

can't get this!!! Hi there, I have a question that I cannot solve. Here it is. \frac{1}{\sqrt(4-2\sqrt3)}=x+y\sqrt3 then what is x^2+y^2? All I did was finding what left hand side stood for. It equals \frac{\sqrt3 + 1}{2} Any help?
2. ### Values of a and b

\int_a^b (x-x^2)dx What values of a and b make this integral's value maximum? I have tried to do it but cannot get it. I know that the maximum value of x-x^2 is 0,25. but I'm stuck from there. I try to write the integral in the form of a riemann sum but (b-a)s cancel each other.what am I to...
3. ### X in terms of a

Hi, I have a problem with the following problem. We have to write x in terms of a. x^2=y+a y^2=z+a z^2=x+a I have done some work but all I got is eighth degree polinomial and there is no easy wayof solving it in terms of a as far as I know. This is what I have ((x^2-a^2)^2-a)^2=x...
4. ### Need help about a choice I have to make

Hello there, The tests for university is fast approaching, but I cannot make my mind up which way to go. Even now, I study calculus and some physics, and each time I start studying I feel awestruck, I totally adore natural sciences. But there remains a problem. Here in Turkey, being a scientist...
5. ### Newton's Mathematcal Papers

Do any of you guys know where I can find all the 8 volumes of Newton's Mathematical Papers? Thanks in advance. Cheers, Can
6. ### Sketching the change in a cube's volume

Hi all, I've come by an interesting while studying. Here it goes The volume V=x^3 of a cube of with edges of length x increases by an amount \Delta V when x increases by an amount \Delta x . Show with a sketch how to represent \Delta V geometrically as the some of the volumes of (a)...
7. ### Circumscribing an ellipse

Let P(x,a) and Q(-x,a) be two points on the upper half of the ellipse \frac{x^2}{100}+\frac{(y-5)^2}{25}=1 centered at (0,5). A triangle RST is formed by using the tangent lines to the ellipse at Q and P. Show that the area of the triangle is A(x)=-f'(x)[x-\frac{f(x)}{f'(x)}]^2...
8. ### Airplane landing path

Hi I have this question that is driving me mad any help is appreciated. An airplane is flying at altitude H when it begins its decent to an airport runway that is at horizontal ground distance L from the airplane. Assume that the landing path of the airplane is the graph of a cubic polynomial...