2 out of 3
Investigate the graphs of y = [1 + (x - t)^2][1 + (x + t^)2] as the parameter t varies.
2 out of 3
Show without recourse to any calculating aid that 7^{1/2} + 7^{1/3} + 7^{1/4} < 7 and 4^{1/2} + 4^{1/3} + 4^{1/4} > 4 . Sketch the graph of f(x) = x^{1/2} + x^{1/3} + x^{1/4} -x
2 out of 3
If you plot these graphs they may look the same, but are they?
2 out of 3
Can you find the volumes of the mathematical vessels?
3 out of 3
This polar equation is a quadratic. Plot the graph given by each factor to draw the flower.
3 out of 3
Can you sketch these difficult curves, which have uses in mathematical modelling?
3 out of 3
Can you make a curve to match my friend's requirements?
3 out of 3
Given a set of points (x,y) with distinct x values, find a polynomial that goes through all of them, then prove some results about the existence and uniqueness of these polynomials.
