unit 2 revision q 1
DESCRIPTION
Unit 2 revision Q 1. How do you find the root of an equation between two given values to 1 dp ?. Answer to Unit 2 revision Q 1. iteration. Unit 2 revision Q 2. How do you find where a curve crosses the x-axis ?. Answer to Unit 2 revision Q 2. Let y = 0 or f(x) = 0 and solve for x. - PowerPoint PPT PresentationTRANSCRIPT
Answer to Unit 2 revision Q 3
•(i) multiply by the denominator of the
fraction (here x2)•(ii) factorise and solve
Answer to Unit 2 revision Q 5
•x = -b±√(b2-4ac)2a
•It is used to find roots of a quadratic equation when it is difficult to factorise.
Answer to Unit 2 revision Q 6
• (i) factorise•(ii) draw graph•(iii) read x values where graph is on or
above x-axis
Answer to Unit 2 revision Q 7
•(i) factorise•(ii) draw graph•(iii) read x values where graph is below x-axis
Answer to Unit 2 revision Q 11
•Rearrange line to getx = … or y = …
•Substitute into circle equation and solve
Answer to Unit 2 revision Q 12
•Synthetic division using factors of last number
Remainder=0
factor 1 -2 -1 2
Answer to Unit 2 revision Q 15
• (i) integrate•(ii) substitute in two
limits and subtract to find area
2.3
Unit 2 revision Q 16
•How do you find the exact values ofsin(A+B), cos(A-B) etc.given that
•cosA = 3/5 and•sinB = 12/13 ?
Answer to Unit 2 revision Q 16• (i) draw
two Δs• (ii) find
missing sides• (iii) expand
formula• (iv) substitute in values
from Δs using SOH CAH TOA
A
3 5
B
12
13
Answer to Unit 2 revision Q 17
•(i) Substitute 2cos2xo-1 for cos2xo
•(ii) Make RHS=0 and then factorise(use c for cos xo if you like)
•(iii)solve for cos xo and hence for x
2.4
Unit 2 revision Q 18
•What is the centre and radius of a circle of the form
•x2+y2+2gx+2fy+c=0 ?
2.4
Unit 2 revision Q 20
•What is the centre and radius of a circle of the form
•(x-a)2+(y-b)2 = r2 ?