A chord of a circle subtends an angle of 12o degrees at the centre of a circle of diameter 4√3 cm. Calculate the area of the major sector.
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2002
If x varies directly as √n and x = 9 when n = 9, find x when n = (17/9)
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2002
The sum to infinity of the series: 1 + (1/3) + (1/9) + (1/27) + ... is
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2002
The ninary operation * is defined on the set of integers p and q by p*q = pq + p + q. Find 2 * (3 * 4).
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2002
If -2 is the solution of the equation 2x + 1 - 3c = 2c + 3x - 7, find the value of c.
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2002
The inverse function f(x) = 3x + 4 is
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2002
Make r subject of the formula given that \(\frac{x}{r+a}=\frac{a}{r}\)
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2002
If the 9th term of an A.P is five times the 5th term, find the relationship between a and d.
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2002
Find the maximum value of y in the equation y = 1 - 2x - 3x2
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2002
Find the range of values of x for which \(\frac{(x+2)}{4}-\frac{2x-3}{3}<4\)
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2002
The time taken to do a piece of work is inversely proportional to the number of men employed. if it takes 45 men to do a piece of work in 5 days, how long will it take 25 men?
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2002
Solve for x in the equation x3 - 5x2 - x + 5 = 0
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2002
If y = x2 - (1/x). find dy/dx
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2002
A circle with radius 5cm has its radius increasing at the rate of 0.2m/s. What will be the corresponding increase in the area?
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2002
Evaluate ∫sin 3x dx
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2002
The slope of the tangent to the curve y = 3x2 - 2x + 5 at the point (1, 6) is
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2002
Find the derivative of y = sin2(5x) with respect to x.
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2002
In a school, 220 students offer Biology or Mathematics or both, 125 offer Biology and 110 Mathematics. How many offer Biology but not Mathematics?
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2002
The slope of the tangent to the curve \(y = 2x^2 - 2x + 5\) at the point \((1,6)\) is