Find the value of x for which the function y = x3 - x has a minimum value.
\(-\sqrt{3}\)
\(-\sqrt{\frac{3}{3}}\)
\(\sqrt{\frac{3}{3}}\)
\(\sqrt{3}\)
Correct answer is C
No explanation has been provided for this answer.
Evaluate \(\int^{1}_{-2}(x-1)^{2}dx\)
\(\frac{-10}{3}\)
7
9
11
Correct answer is C
No explanation has been provided for this answer.
What is the derivative of t2 sin (3t - 5) with respect to t?
6t cos (3t - 5)
2t sin (3t - 5) - 3t2 cos (3t - 5)
2t sin (3t - 5) + 3t2 cos (3t - 5)
2t sin (3t - 5) + t2 cos 3t
Correct answer is C
t2 sin (3t - 5) = 2t sin ( 3t - 5) + t2 x 3 cos (3t - 5) = 2t sin (3t - 5) + 3t2 cos (3t - 5)
81 π cubic units
36 π cubic units
18 π cubic units
9 π cubic units
Correct answer is B
\(y = 2x \\ V = \int\pi^{2}dy \\ but\hspace{1mm}y = 2x \\ V = \int\pi4x^{2}dx\\ V = \frac{4(3)^{3}\pi}{3}-\frac{4(3)^{3}\pi}{3}\\V=\frac{4*27\pi}{3} = 36\pi \hspace{1mm}cubic\hspace{1mm}units\)
\(\sqrt{2 +1}\)
\(\sqrt{2 }-1\)
\(-\sqrt{2 }-1\)
\(1-\sqrt{2}\)
Correct answer is B
No explanation has been provided for this answer.