Without using mathematical tables or calculator evaluate:7 3/5− 1 /3(1 1 /4 +3 1/3)x2 2/5. (3 marks)
If 𝑎 cos 𝜃 − 𝑏 sin 𝜃 = 𝑥 and 𝑎 sin 𝜃 + 𝑏 cos 𝜃 = 𝑦 , prove that 𝑎2 + 𝑏2 = 𝑥2 + 𝑦2.
Find an equation of the plane that passes through (2,7,2) and is perpendicular to the line with parametric form (1-2t, t, -3t+12).
Find the general solution to each of these differential equations. Use capital o for your
constant of integration.
y
'
+
4
e...
32!
what is the nth term of 1, 9, 17, 25, 33
show that the diagonal of a square are equal and bisect each other at right angles
a=1 ; b= x/2 - 2/x ; n = 4 put this in binomial therom and solve it
Find the standard form of the ellipsis:
4x ² +9y ² −8x +18y −36=0