Physics 1050: Math Quiz #1
2005
INSTRUCTIONS: (i) Hand in question sheet with your answers, with your
name and lecture section on all submitted material.
(ii) No Calculators, computers, human help, etc.
(ii) Each question is worth 10 marks.
(iv) Time: 50 minutes.
1- Solve for x if (x+3)3=125.
2- Given y= 2+ b xa sketch y vs x and log( y) vs log(x).
3- If sin(x) =0.6 find tan(x).
4- (1 kg)-1 = ? (g)-1.
5- Solve for x if (x2-1)(1.5x2-4x+1)=0.
6- Solve for x if 10[3log(x)-log(2)] =4.
7- Solve for x and y if (hint: first substitute s=sin(x), t=cos(y) and solve for s and t)
-12 sin(x) + 7 cos(y) =1
2 sin(x) + 3 cos (y) = 4
8- Solve for x if 1-2log9 (x)=2.
9- Solve for angle A and side c in the given triangle.
a
5 cm
70O
A
45O
c
10- If the area of circle 1 is 4 times the area of circle 2, find the circumference of
circle 1 in terms of the circumference of circle 2.