### Solved HIGHER MATHEMATICS  PAPER 2 2019

There is a total of 15 Questions of HIGHER MATHEMATICS  PAPER 2 Which Solution we provided.

1. Triangle ABC has vertices A(-5,-12), B(11,-8) and C(-3,6).

(a) Find the equation of the median BD.
(b) Find the equation of the altitude AE.
(c) Find the coordinates of the point of intersection of BD and AE  (b) Find the equation of the altitude AE. (c) Find the coordinates of the point of intersection of BD and AE   3. E, ABCD is a rectangular-based pyramid.

(a) Express BE in terms of p and r.
Point F divides BC in the ratio 3:1.
(b) Express vector EF in terms of p, q, and r.  4. In a forest, the population of a species of mouse is falling by 2·7% each year.
To increase the population scientists plan to release 30 mice into the forest at the
end of March each year.
(a) un is the estimated population of mice at the start of April, n years after the
the population was first estimated.
It is known that un and un+1 satisfy the recurrence relation n n 1 u au b + = +.
State the values of a and b.
Scientists continue to release this species of mouse each year.
(b) (i) Explain why the estimated population of mice will stabilize in the long term.
(ii) Calculate the long-term population to the nearest hundred.  5. The diagram below shows the graph of a cubic function y = g = (x ), with stationary
points at x =−  2 and x=4        9. Electricity on a spacecraft can be produced by a type of nuclear generator.
The electrical power produced by this generator can be modeled by

where P
is the electrical power produced, in watts, after t years?
(a) Determine the electrical power initially produced by the generator.
(b) Calculate how long it takes for the electrical power produced by the generator
to reduce by 15%.  2019 Higher Mathematics Paper 1 With Solutions  11. A manufacturer of chocolates is launching a new product in novelty shaped
cardboard boxes.          All solution of Maths Paper 2 of 2019 is completed if you have any question and or problems please feel free to contact admin@sqapastpapers.com.