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The length of the line joining points (x,4) and (-x,3) is 7 units. Find the value of x.
If f(x-1) = x\(^3\) + 3x\(^2\) + 4x - 5, find f(2)
Evaluate: lim\(_{x→-2}\) \(\frac{x^3+8}{x+2}\).
A particle is acted upon by forces F = (10N, 060º), P = (15N, 120º) and Q = (12N, 200º). Express the force that will keep the particle in equilibrium in the form xi + yj, where x and y are scalars.
If α and β are roots of x\(^2\) + mx - n = 0, where m and n are constants, form the
| equation | whose | roots | are | 1
α |
and | 1
β |
. |
A particle of mass 3kg moving along a straight line under the action of a F N, covers a line distance, d, at time, t, such that d = t\(^2\) + 3t. Find the magnitude of F at time t.
The gradient of a function at any point (x,y) 2x - 6. If the function passes through (1,2), find the function.
The equation of a circle is given as 2x\(^2\) + 2y\(^2\) - x - 3y - 41 = 0. Find the coordinates of its centre.
The probability that a student will graduate from college is 0.4. If 3 students are selected from the college, what is the probability that at least one student will graduate?
Find the range of values of x for which 2x\(^2\) + 7x - 15 ≥ 0.
Solve: 4sin\(^2\)θ + 1 = 2, where 0º < θ < 180º
Find correct to the nearest degree, the acute angle formed by the lines y = 2x + 5 and 2y = x - 6
The mean heights of three groups of students consisting of 20, 16 and 14 students each are 1.67m, 1.50m and 1.40m respectively. Find the mean height of all the students.
A body of mass 18kg moving with velocity 4ms-1 collides with another body of mass 6kg moving in the opposite direction with velocity 10ms-1. If they stick together after the collision, find their common velocity.
The first, second and third terms of an exponential sequence (G.P) are (x - 4), (x + 2), and (3x + 1) respectively. Find the values of x.
Find the coefficient of x\(^3\)y\(^2\) in the binomial expansion of (x-2y)\(^5\)
If g(x) = √(1-x\(^2\)), find the domain of g(x)
The table shows the distribution of the distance (in km) covered by 40 hunters while hunting.
What is the mode of the distribution?
| Distance(km) | 3 | 4 | 5 | 6 | 7 | 8 |
| Frequency | 5 | 4 | x | 9 | 2x | 1 |
The table shows the distribution of the distance (in km) covered by 40 hunters while hunting.
| Distance(km) | 3 | 4 | 5 | 6 | 7 | 8 |
| Frequency | 5 | 4 | x | 9 | 2x | 1 |
If a hunter is selected at random, find the probability that the hunter covered at least 6km.
If →PQ = -2i + 5j and →RQ = -i - 7j, find →PR