50
60
288
300
Correct answer is B
No of ways
= 4 x 5 x 3
= 60 ways
Find the area between line y = x + 1 and the x-axis from x = -2 to x = 0.
5 square units
4 square units
2 square units
1 square unit
Correct answer is C
\(\int^0_{-2} x + 1\) x\(^2 + x|^0_{-2}\)
0 - (2\(^2 - 2\))
= 2 square units
Find correct to the nearest degree,5 the angle between p = 12i - 5j and q = 4i +3j
59\(^o\)
60\(^o\)
75\(^o\)
76\(^o\)
Correct answer is A
Cos \(\theta\) = \(\frac{4(12) + (-5)(3)}{\sqrt{12^2 + (-5)^2}\sqrt{4^2 + 3^2}}\)
Cos\(\theta\) = \(\frac{48 - 15}{(\sqrt{189})(\sqrt{25})}\)
\(\theta = cos^{-1}\) (\(\frac{33}{61.28}\))
\(\theta\) = cos\(^{-1}\)0.5367
\(\theta\) = 59\(^o\)
Which of the following vectors is perpendicular to \(\begin{pmatrix} -1 & 3 \end{pmatrix}\)?
\(\begin{pmatrix} -3 & 1 \end{pmatrix}\)
\(\begin{pmatrix} 1 & 3 \end{pmatrix}\)
\(\begin{pmatrix} 1 & -3 \end{pmatrix}\)
\(\begin{pmatrix} 1 & 3 \end{pmatrix}\)
Correct answer is A
No explanation has been provided for this answer.
If y = (5 - x)\(^{-3}\), and \(\frac{dy}{dx}\)
\(\frac{-15}{(5 - x)^4}\)
\(\frac{-3}{(5 - x)^4}\)
\(\frac{3}{(5 - x)^4}\)
\(\frac{15}{(5 - x)^4}\)
Correct answer is C
y = (5 - x)\(^{-3}\)
\(\frac{dy}{dx}\) = -3(5 - x)\(^{-4}\)
= \(\frac{-3}{(5 - x)^4}\)