If a = 3i − 5j − 2k and b = 7i + j − 2k are non-zero vectors. Find the projection of a onto b
Question
Erick
..
Two vectors a and b have the same magnitude and an angle between them is 60° . If their scalar product is 1/2 , find their magnitude
Question
Erick
..
If x sec θ + y tan θ = 3 and x tan θ + y sec θ = 2, eliminate θ from the equation
Question
Erick
..
Express the sum of sec x and tan x as the tangent of π/4 + x/2 and hence find in surd form the value of tan π/12
Question
Erick
..
Define the following terms and write one example for each term:
Question
Erick
i) Continuous random variable
ii) Discrete random variable
iii) Probability density function
A group of students consist of 4 girls and 7 boys. In how many ways can a team of 5 members be selected if the team has at least a boy and a girl?
Question
Erick
..
If P(A) = 1/4 , P(A/B) = 1/2 , and P(B/A) = 2/3 . Verify whether A and B are independent events or are mutually exclusive ev
Question
Erick
..
Rehema and Seni play a game in which Rehema should win 8 games for every 7 games won by Seni. Prove that if they play three games, the probability that Rehema wins at least two games is approximately to 0.55
Question
Erick
..
Verify that y = 10 sin 3x + 9 cos 3x is a solution of the differential equation d²y/dx² + 9y = 0 if y = 0, dy/dx = 0 when x = 0.
Question
Erick
..
In a family, the boy tells a lie in 30 percent cases and the girl in 35 percent cases. Find the probability that both contradict each other on the same fact.
Question
Erick
..