Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Quadratic equation wikipedia , lookup
Quartic function wikipedia , lookup
Cubic function wikipedia , lookup
Elementary algebra wikipedia , lookup
System of linear equations wikipedia , lookup
History of algebra wikipedia , lookup
System of polynomial equations wikipedia , lookup
Higher Maths Formal Homework 3 1. The line PQ has coordinates P(-6, 10) and Q(2, 14). Find the equation of the perpendicular bisector of PQ. 2. [4] Triangle ABC has vertices (6,2), (-4,-4) and (-1,8) respectively. a. Find the equation of the altitude BD. b. Find the equation of the median CE. c. BD and CE intersect at H. Find the coordinates of H. 3. f(x) = 2x² and g(x) = 3x-1, find a. f(g(x)) 4. [9] b. g(f(x)). [4] For the recurrence relation Un + 1 = aun + b, it is known that uo = 6, u1 = 12 and u2 = 21. a. Find the values of a and b. b. Hence find the value of u3. [6] 5. Change these angles to radians, leaving your answers as exact values: a) 45° b) 120° c) 300° d) 15° [4] 6. Change these angles to radians, giving your answers as a decimal to 2 decimal places: a) 27° 7. Change these angles to degrees: b) 172° a) 5 c) 3.8° b) 3 4 c) 0.5585 [3] [3] 8. Find the EXACT value solutions for each of the following equations for 0◦≤ x ≤ 360◦: a. tan x◦ = - √3 b. 1 – 2cos x◦ = 0 c. 4 sin²x◦ = 1 d. 2 sin 2x◦ = - 1 [12] [45]