We walk on Rainbow Full of Colour
4 days to mid year!!
Before u start pls read: 1.)5^2 means five to the power of 2
which means 5X5=25.
2.)5/2 means five divide by 2. I wrote it
this way because the qn is like that.
3.) In qn 17a, the R in the a maths tys is written in block
letters.And i dont know what it means.
4a.)Find the range of values of x for which x(10-x)≥24.
b.)Find the value of k for which 2y+x=k is a tangent to the curve y^2+4x=20.
6.)The straight line y=2p+1 intersects the curve y=x + (p^2)/x at two distinct points. Find the
range of values of p.
8.)Given that f(x)=2x^2-5x-7,
i.)find the value of a, of b and of c for which f(x)=a(x-b)^2-c,
ii.)state the minimum value of f(x).
11.)Find the values of k for which the line x+3y=k and the curve y^2=2x+3 do not intersect.
13.)Find the set of values of x for which (x-6)^2>x.
14.)Find the values of the constant c for which the line 2y=x+c is a tangent to the curve
y=2x+6/x.
15a.)Find the values of m for which the line y=mx-3 is a tangent to the curve y=x+1/x and find
the x-coordinate of the point at which this tangent touches the curve.
15b.)Find the values of c and d for which {x:-5
17a.)A function f is defind by f:x
R. Find the value of the constant c for which the range of f is given by f(x)≥3.
17b.)A function g is defined by g:x
x^2+2x^2+5 for x≥k, where k is a constant.
Express x^2+2x+5 in the form (x+a)^2+b, where a and b are constants.
Lol took me 45 mins to finish typing these :P
. Heaven's Tragedy: Hell's Rage