Answer to Unit 1 revision Q 1
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Transcript of Answer to Unit 1 revision Q 1
Answer to Unit 1 revision Q 1
•A line which cuts the given line in half at 90o
Answer to Unit 1 revision Q 2
•(i) find the mid pointof BC. Call it M
(ii) find the gradient of AM(iii) use y-b = m(x-a)
A
BCM
Answer to Unit 1 revision Q 4
•Simultaneous equations
Answer to Unit 1 revision Q 3
•undefined
x
y
Answer to Unit 1 revision Q 6
•y – b = m(x – a)
x
y
(a,b)
Answer to Unit 1 revision Q 5
•The gradient of the line and a point on the line
x
y
(a,b)m
1
Answer to Unit 1 revision Q 8
•0
x
y
Answer to Unit 1 revision Q 7
•m = tan Θ
x
y
ΘΘ
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
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
a
b
xx
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 2x =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