MATHS FINALS

Question 1

HOW TO FIND THE TOTAL INTEREST PAID

Answer 1

find total payments
find total capital paid = og. amount - balance still outstanding
minus capital from total payments

Question 2

HOW TO SOLVE PROBLEMS INVOLVING MIN AND MAX

Answer 2

• find the derivative
• let the derivative = 0
• solve for x
• sub x into og. expression if needing find min or max

Question 3

when is there a max value

Answer 3

when a < 0

Question 4

when is there a min value

Answer 4

when a > 0

Question 5

when is there both a minimum and a maximum

Answer 5

a = 0

Question 6

which value is the minimum/max value

Answer 6

q, when p=x

Question 7

proof of Sn of G

Answer 7

expand formula
expand formula x r
minus the two
common factors

Question 8

proof of Sn of A

Answer 8

expand formula twice (for & back)
2Sn = reg formula repeated
2Sn = n(2a + (n-1)d)
Sn = …

Question 9

proof of S to infinity

Answer 9

expand the Sn of G slightly
seperate fractions
speak about tending to infinity
therefore the one is 0
therefore...

Question 10

volume of a cone

Answer 10

1/3 x pi x rh

Question 11

volume of a sphere

Answer 11

4/3 x pi x r^3

Question 12

volume of a cube

Answer 12

l^3

Question 13

volume of rect box

Answer 13

abc

Question 14

volume of a cylinder

Answer 14

pi x r^2 x h

Question 15

area of rect box

Answer 15

2ab + 2bc + 2ac

Question 16

round table things

Answer 16

(n-1)!

Question 17

repetitions

Answer 17

number of things repeated! x etc!