Find the value of the derivative of y = 3x\(^2\) (2x +1) with respect to x at the point x = 2.
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2021
Find the equation of the normal to the curve y= 2x\(^2\) - 5x + 10 at P(1, 7).
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2021
The gradient ofy= 3x\(^2\)+ 11x + 7 at P(x.y)is -1. Find the coordinates of P.
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2021
A bag contains 8 red, 4 blue and 2 green identical balls. Two balls are drawn randomly from the bag without replacement. Find the probability that the balls drawn are red and blue.
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2021
Consider the following statements:X: Benita is politey: Benita is neatz: Benita is intelligentWhich of the following symbolizes the statement: "Benita is neat if and only if she is neither polite nor intelligent"?
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2021
If 2i +pj and 4i -2j are perpendicular, find the value of p.
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2021
If √5 cosx + √15sinx = 0, for 0° < x < 360°, find the values of x.
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2021
A committee consists of 6 boys and 4 girls. In how many ways can a sub-committee consisting of 3 boys and 2 girls be formed if one particular boy and one particular girl must be on the sub-committee?
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2021
The first term of an AP is 4 and the sum of the first three terms is 18. Find the product of the first three terms
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2021
If sin x = \(\frac{12}{13}\) and sin y =\(\frac{4}{5}\), where x and y are acute angles, find cos (x + y)
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2021
If ( 1- 2x)\(^4\) = 1 + px + qx\(^2\) - 32x\(^3\) + 16\(^4\), find the value of (q - p)
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2021
Given that F\(^1\)(x) = x\(^3\)√x, find f(x)
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2021
A stone is thrown vertically upward and distance, S metres after t seconds is given byS = 12t + \(\frac{5}{2t^2}\) - t\(^3\).Calculate the distance travelled in the third second.
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2021
A stone is thrown vertically upward and distance, S metres after t seconds is given byS = 12t + \(\frac{5}{2t^2}\) - t\(^3\).Calculate the maximum height reached.
Three forces, F\(_1\) (8N, 030°),F\(_2\) (10N, 150° ) andF\(_3\) ( KN, 240° ) are in equilibrium. Find the value of N
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2021
If 2y\(^2\) + 7 = 3y - xy, find\(\frac{dy}{dx}\)
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2021
A fair die is tossed 60 times and the results are recorded in the tableNumber of die123456Frequency1510142811Find the probability of obtaining a prime number.
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2021
A body ofmass 15kg is placedon a smoothplanewhich isinclinedat60° to the horizontal. If the box is at rest,calculate the normal reaction to the plane. [ Take g = 10m/s\(^2\) ]
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2021
Given that P = { x: 0≤ x≤ 36, x is a factor of 36 divisible by 3} and Q= { x: 0≤ x≤ 36, x is an even number and a perfect square}, find P n Q.