45
10
35
30
Correct answer is B
80 - x + x + 60 - x + 20 = 150 160 - x = 150 x = 160 - 150 = 10
Find the derivative of y = ( \(\frac{1}{3}\)X + 6)\(^2\)
2( \(\frac{1}{3}\)X + 6
\(\frac{2}{3}\) ( \(\frac{1}{3}\)X + 6)
\(\frac{2}{3}\) ( \(\frac{1}{3}\)X + 6)2
\(\frac{1}{3}\) ( \(\frac{1}{3}\)X + 6)2
Correct answer is B
Y = ( \(\frac{1}{3}\)X + 6)\(^2\)
\(\frac{dy}{dx}\) = 2( \(\frac{1}{3}\)X + 6) \(\frac{1}{3}\)
= \(\frac{2}{3}\) ( \(\frac{1}{3}\)X + 6)
If the mean of 4, y, 8 and 10 is 7. Find Y?
6
10
7
9
Correct answer is A
\(\frac{4 + y + 8 + 10}{4}\) = 7
22 + y = 4 x 7
22 + y = 28
y = 28 - 22 = 6
Integrate \(\frac{2x^3 + 2x}{x}\) with respect to x
\(\frac{2x^3}{3}\) - 2x + k
x3 + 2x + k
\(\frac{2x^3}{3}\) + 2x + k
x3 - 2x + k
Correct answer is C
\(\int\) \(\frac{2x^3 + 2x}{x}\) = \(\int\) \(\frac{2x^3}{x}\) + \(\frac{2x}{x}\) = \(\int\) (2x2 + 2) dx
\(\frac{2x^2+1}{2 + 1}\) + 2x + k
= \(\frac{2x^3}{3}\)+ 2x + k
Factorize \( a^2 − b^2 − 4a + 4 \)
(a + b)(a − b)
(a − 2 + b)(a - 2- b)
(a + 1)(a − 2 + b)
(a + b) 2
Correct answer is B
The trinomial = \( a^2 − 4a + 4 \\
a^2 − b^2− 4a + 4 = (a^2 − 4a + 4) − b^2 \\
(a^2 − 2a − 2a + 4) − b^2 \\
a(a − 2)− 2(a − 2)] − b^2 \\
(a − 2)2 − b^2 \\
(a − 2 + b)(a − 2 − b )\)