Find \(\frac{\mathrm d y}{\mathrm d x}\) if \(y = \cos x\).
\(\sin x\)
\(- \sin x\)
\(\tan x\)
\(- \tan x\)
Correct answer is B
If \(y = \cos x\)
\(\frac{\mathrm d y}{\mathrm d x}\) =—\(\sin x\)
52 cm
43 cm
40 cm
15 cm
Correct answer is B
\(\tan 16 = \frac{x}{150}\)
\(x = 150 \tan 16\)
= \(43 cm\)
30\(\pi\) cm\(^2\)
60\(\pi\) cm\(^2\)
120\(\pi\) cm\(^2\)
150\(\pi\) cm\(^2\)
Correct answer is B
Area of sector = \(\frac{\theta}{360°} \times \pi r^{2}\)
= \(\frac{150}{360} \times \pi \times 12^{2}\)
= 60\(\pi\) cm\(^{2}\)
If \(N = \begin{pmatrix} 3 & 5 & -4 \\ 6 & -3 & -5 \\ -2 & 2 & 1 \end{pmatrix}\), find \(|N|\).
65
23
17
91
Correct answer is C
\(\begin{vmatrix} 3 & 5 & -4 \\ 6 & -3 & -5 \\ -2 & 2 & 1 \end{vmatrix}\)
= \(3(-3 - (-10)) - 5(6 - 10) + (-4)(12 - 6)\)
= \(21 + 20 - 24\)
= 17
\(\frac{5}{8}\)
\(\frac{5}{16}\)
\(\frac{1}{2}\)
\(\frac{3}{8}\)
Correct answer is A
| x | 1 | 2 | 3 | 4 |
| 1 | 1* | 2* | 3* | 4* |
| 2 | 2* | 4* | 6* | 8 |
| 3 | 3* | 6* | 9 | 12 |
| 4 | 4* | 8 | 12 | 16 |
The numbers that are not greater than 6 are either less than 6 or equal to 6.
P(picking a number not greater than 6) = \(\frac{10}{16}\)
= \(\frac{5}{8}\)
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