Find the derivative of \(y=\frac{x^7 - x^5}{x^4}\)
x(x2-1)
3x(x2-1)
3x2-1
7x6-5x4
Correct answer is C
\(y=\frac{x^7 - x^5}{x^4}\\
y = \frac{x^7}{x^4} \div \frac{x^5}{x^4}\\
y = x^3 - x \\
\frac{dy}{dx} = 3x^2 - 1\)
3/4
3/5
2/5
1/4
Correct answer is A
No explanation has been provided for this answer.
Find the gradient of a line which is perpendicular to the line with the equation 3x + 2y + 1 = 0
3/2
2/3
-2/3
-3/2
Correct answer is B
3X + 2Y + 1 = 0
2Y = -3X - 1
\(\frac{-3}{2}X - \frac{1}{2}\)
Gradient of 3X + 2Y +1 = 0 is -3/2
Gradient of a line perpendicular to 3X + 2Y + 1 = 0
\(=-1 \div \frac{3}{2}\\
=-1 \times \frac{-2}{3}=\frac{2}{3}\)
(2,5)
(5,2)
(1,0)
(0,1)
Correct answer is B
No explanation has been provided for this answer.
Find the capacity in liters of a cylindrical well of radius 1 meter and depth 14 meters
[π = 22/7]
44,000 liters
4,400 liters
440 liters
44 liters
Correct answer is A
V = πr2h
1m = 100cm
14cm = 1400cm
\(∴V = \frac{22}{7} \times \frac{100x100x1400}{1000}\\
= 44, 000 liters\)