Answer to Unit 1 revision Q 1

301 Views

Download Presentation
## Answer to Unit 1 revision Q 1

- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -

**Answer to Unit 1 revision Q 1**• A line which cuts the given line in half at 90o**A**C B M Answer to Unit 1 revision Q 2 • (i) find the mid point of BC. Call it M (ii) find the gradient of AM (iii) use y-b = m(x-a)**Answer to Unit 1 revision Q 4**• Simultaneous equations**y**x Answer to Unit 1 revision Q 3 • undefined**y**(a,b) x Answer to Unit 1 revision Q 6 • y – b = m(x – a)**y**(a,b) m 1 x Answer to Unit 1 revision Q 5 • The gradient of the line and a point on the line**y**x Answer to Unit 1 revision Q 8 • 0**y**Θ x Answer to Unit 1 revision Q 7 • m = tan Θ**Answer to Unit 1 revision Q 10**• Divide by 180 and multiply by π**Answer to Unit 1 revision Q 9**• A line from a vertex, perpendicular to the opposite side**Answer to Unit 1 revision Q 12**• (i) rearrange to sinx = (ii) decide on 2 quadrants (iii) ignore any –ve and press INV sin to get angle (iv) work out two answers**Answer to Unit 1 revision Q 11**• x = logay**x**b a Answer to Unit 1 revision Q 14 • (i) draw triangle (ii) use Pythagoras to fill in missing side (iii) read values off triangle using SOHCAHTOA**Answer to Unit 1 revision Q 13**• move graph up 3**Answer to Unit 1 revision Q 16**• (1,0) and (a,1)**Answer to Unit 1 revision Q 15**• Reflect the graph in the x-axis**Answer to Unit 1 revision Q 18**• (i) differentiate (ii) show that f’(x) is always negative e.g. –(x+a)2 , x = a**Answer to Unit 1 revision Q 17**• nxn-1**Answer to Unit 1 revision Q 20**• -1 < a < 1**Answer to Unit 1 revision Q 19**(i) differentiate (ii) let f’(x) = 0 (iii) solve to find stationary points (iv) find y-coordinates (v) draw nature table**Answer to Unit 1 revision Q 22**• (i) differentiate (ii) show that f’(x) is always positive e.g. (x+a)2 , x = a**Answer to Unit 1 revision Q 21**• Reflect y = f ( x ) in the y axis.**Answer to Unit 1 revision Q 24**• cos x = ±√3 2 x =300,1500,2100or 3300**Answer to Unit 1 revision Q 23**• x ( x – 6 )( x + 4 ) = 0 so x = 0, x = 6 or x = 4