Physics and Math Assignment

Task 1
(i) 7(y2)4 x 2(y3)3
solution
¿ 7 y8∗2 y9
¿ 1417
(ii)
( T2
T 1. 4 × V 5
V 6 × P1. 4
P−1 . 2 )3
¿( ( t2 ÷T 1.4 )∗( v5 ÷ v6 )∗( p1.4 ÷ p−1.2))3
¿ ( T 0.6∗V−1∗P2.6 ) 3
¿ T 1.8∗V −3∗P−7.2
(iii)
(6 W 3 )2×(2 W 2 )3
W 2
solution
6 W 6∗2W 6 ÷ W 2
¿ 12 w10
Task 2
a.
4 log 82−3 log 16+ 1
2 log 64
2 log 2
solution
¿(24log2-12log2+3log2)/2log2
24 log 2
2 log 2 −12 log 2
2 log 2 + 3 log 2
2 log 2
¿ 7 1
2
b. 6( x +1)=25. 158 solution
( x+1 ) log 6
log6 = log 12.158
log 6
x +1=1.39415331

x=0.39415331
Task 3
i) Plot a graph of these values of Current on the horizontal axis (x-axis) and
Voltage on the vertical axis (y-axis).
ii) Using your graph deduce the y-axis intercept of the line.
Solution
y-axis intercept is 1.5
iii) Using your graph deduce the gradient of the line.
Solution
Gradient of the line is 0.25
iv) Using your graph deduce the equation of the line.
Solution
Equation is;
Voltage=0.25 ( Current ) + 1.5

Task 4
(i) 5x + 20y
Solution
=5( x + 4 y)
(ii) 8(a + b) – 2(3a)
solution
¿ 8 a+ 8 b−6 a
¿ 2 a+8 b
¿ 2(a+4 b)
(iii) 8ax + 40cx + 3a +18c (Hint: group the common factors (i.e. a and c) together here
then factorise each group)
solution
¿ 8 ax +3 a+ 40 cx +18 c
¿ a ( 8 x +3 ) +2 c (20 x+ 9)
Task 5
Angle
measures in degrees Measures in Radians
In decimal form In pie
45 0.7875 Pie/3.98
89.76 1.5708 Pie/2
179.43 3.14 22/7
240 4.2 4pie/3
359.04 6.2831 2 pie
300 5.25 5pie/3
239.36 4.1888 4pie/3
Task 5b
solution
2450
190
¿ 12.8947 revolution per second