Common Questions Ask in Post UTME Mathematics Exams. Day1

Common Questions Ask in Post UTME Mathematics Exams. Day1

Mathematics

Chima Sunday (Tutor)
20-06-2016 15:22:00 +0000

Try your best to solve these questions. Show working on paper when necessary and include a picture of your hand written Solution in your response. Wish you the best!

1. Find the minimum point for this curve, y = 3x³ - 9x²
A. 2
B. 0
C. 1
D. 18
(uni-uyo)

Updated SAolution
If d²y/dx² < 0; its a maximum point
If d²y/dx² > 0; its a minimum pint
If d²y/dx² = 0; its a stationery point.
Thus dy/dx = 9x² - 18x
d²y/dx² = 18x - 18 = 18(x - 1)
at x = 0, d²y/dx² = 18(0 - 1) = -18, thus maximum point
at x = 2, d²y/dx² = 18(2 - 1) = 18, thus minimum point
So the minimum point is at x = 2
Answer is Option A

2. QRS is a triangle with QS = 12m, RQS = 30^o and QRS = 45^o. Calculate the length of RS
A. 18.2m
B. 12.2m
C. 6.2m
D. 3.2m
(unilag)

Updated Solution
f one should sketch the triangle, it will be seen that angle 30 is opposite to RS and 45 is opposite to 12m. By applying sine formular
sin30/RS = sin45/12
by subject formular
RS = 12sin30/sin45 = 12 × 0.5/0.707 = 8.4m
The answer is not in the Option

3. Express 2cos(60 + θ) in terms of cosθ and sinθ
A. cosθ + √3sinθ
B. √3cosθ - sinθ
C. cosθ - √3sinθ
D. √3cosθ + sinθ
(uniben)

Updated Solution
2cos(60 + θ) = 2[cos60cosθ - sin60sinθ] (i.e difference of double angle expansion for cosine)
cos60 = 1/2; siin60 = √/2
so 2cos(60 + θ) = 2[1/2cosθ - √3/2sinθ]
factoring 2; 2/[cosθ - √3sinθ] = cosθ - √3sinθ
Answer is Option C

1 8 0

Emmanuel Anosike

1 option D

1 20-06-2016 18:37:00 +0000

LAWAL OLUWAFEMI

2 option d

1 20-06-2016 19:51:00 +0000

Emmanuel Anosike

how did you solve that

1 20-06-2016 20:08:00 +0000

LAWAL OLUWAFEMI

send me ur number

1 20-06-2016 20:24:00 +0000

Emmanuel Anosike

on WhatsApp or something

1 20-06-2016 20:42:00 +0000

LAWAL OLUWAFEMI

yes

1 20-06-2016 20:51:00 +0000

Emmanuel Anosike

1 option D

1 21-06-2016 16:19:00 +0000

Chima Sunday (Tutor)

Please, just a reminder. This post has been updated with its detailed solution. So try and check it up. Wouldn't forget to commend on the efforts of some exceptional jambites that attempted to solve the question. Your labour of work is not i vain, keep it up and keep the fire burning. I frown to some of us that demand for number when asked to post their hand written solutions to substantiate their answer. Please is not the ethics of the forum, like i said "Show working on paper when necessary and include a picture of your hand written Solution in your response" Once again thanks for attempting. Cheers!

1 22-06-2016 11:35:00 +0000

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