PART I Attempt all questions in this part. (a) Find the value of x if log10(20x – 10)- log10(x + 3) log10 5. (b) A discount of 15% is allowed on an article. If a customer received N600.00 discount, find the actual amount paid on the article. (a) Simplify x-ly*z5 (b) V2 Find the value of k if- %3D , leaving your answer in the form p+m n. Make r the subject of the formula V = mg/(1-r2). Hence, find the value of r when V =15, m 20 and g 10. %3D %3D A sector of a circle of radius 14cm subtends an angle of 72° at the centre of the circle. Find the: (i) (ii) (iii) Length of arc of the sector Perimeter of the sector Area of the sector (Use n =) %3D 5. The masses of 35 girls in a club are as shown below. 40 45 50 55 Masses (kg) Frequency 35 69 30 6. 4 4 (a) (b) Determine the mode and the median of the distribution. Using an assumed mean of 40kg, calculate the mean mass.
PART I Attempt all questions in this part. (a) Find the value of x if log10(20x – 10)- log10(x + 3) log10 5. (b) A discount of 15% is allowed on an article. If a customer received N600.00 discount, find the actual amount paid on the article. (a) Simplify x-ly*z5 (b) V2 Find the value of k if- %3D , leaving your answer in the form p+m n. Make r the subject of the formula V = mg/(1-r2). Hence, find the value of r when V =15, m 20 and g 10. %3D %3D A sector of a circle of radius 14cm subtends an angle of 72° at the centre of the circle. Find the: (i) (ii) (iii) Length of arc of the sector Perimeter of the sector Area of the sector (Use n =) %3D 5. The masses of 35 girls in a club are as shown below. 40 45 50 55 Masses (kg) Frequency 35 69 30 6. 4 4 (a) (b) Determine the mode and the median of the distribution. Using an assumed mean of 40kg, calculate the mean mass.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Transcribed Image Text:PART I
Attempt all questions in this part.
1.
Find the value of x if log1o(20x – 10) - log10(x + 3) = log10 5.
(a)
(b)
A discount of 15% is allowed on an article. If a customer received
N600.00 discount, find the actual amount paid on the article.
(8marks)
(x²y-32)
2.
(a)
Simplify
x-ly+zs
(b)
Find the value of k if
1
%3D
k+V2 k-2 . leaving your answer in the form
p+m Vn.
(8marks)
3.
Make r the subject of the formula V = mg/(1 - r2). Hence, find the value
of r when V =15, m 20 and g 10.
(8marks)
A sector of a circle of radius 14cm subtends an angle of 72° at the centre of
the circle. Find the:
4.
(i)
(ii)
(iii)
Length of arc of the sector
Perimeter of the sector
Area of the sector
(Use n =
(8marks)
5.
The masses of 35 girls in a club are as shown below.
30
35
40
45
50
55
Masses (kg)
Frequency
4
4
(a)
(b)
Determine the mode and the median of the distribution.
Using an assumed mean of 40kg, calculate the mean mass.
(8marks)
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