(FURTHER) ELECTIVE MATHEMATICS TRIAL QUESTIONS
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*(1)(a)* When F(x)=2xΒ² + mxΒ² + nx + 11 is divided by xΒ² + 5x + j1 , the quotient is 2xβ5 and the reminder is 30x + 16 . Find the values of m and n.
*(b)* If (x+2)=6xΒ² + 5xβ8 , Evalute f(5).
*(2)* Solve the equation CosΒ²ΞΈ + Cos2ΞΈsinΞΈ β1 =0 , for 0ΒΊ β€ 0 β€ 360ΒΊ
*(3)(a)* Use substitution u=x β2, Write
xΒ³ + 5
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(x+2)β΄ as an expression interms of u.
*(b)* Using the Answer in *3(a)* express
xΒ³ + 5
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(x - 2)β΄ in partial fractions
*(4)* Find, From the first principle, the derivate of
5
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xΒ³ + 3 with respect to x
*(5)(a)* Draw a frequency distrinution table for the following dcores
*3, 2, 4, 2, 3 , 2, 1, 2, 2, 4,*
*5, 2, 5, 3 , 1, 2, 2, 6, 2, 3*
*(b)* Use the distribution table in *5(a)* to find the mean deviation of the scores.
*(6)* Four and Five digits numbers are to be found using the digits 1, 2, 3, 4 and 5.
*(a)* How many digits can be formed?
*(b)* How many of the digits formed will be greater than 5000?
*(c)* How many will be even numbers?
*(7)* A body is thrown vertically upwards it's height has Metres at time t seconds to given by
h=(12t βΒ³/β
tΒ² ) m . Find the :
*(a)* Velocity of the body at time 5 seconds,
*(b)* Time at which the body is Momentary rest,
*(c)* Maximum height reach by the body.
*(8)* Given that the cosine of the angle between P= βi + kj and k=2i + 2j is ΒΉ/β5, Find the possible value(s) of k.
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