4:50 HW2_Functional_Math_Spring2.. Task 7: A submarine dives at a constant speed of 10 m/s at a diving angle measured from the vertical of 75°. If the submarine starts its dive from the surface, how deep is the front end of the submarine at the end of a 1-minute dive? 75° Figure 2: a submarine dives from the surface. Task 8: The data shows the average number of days of rainfall in Rangoon for each month of the lyear. MONTH Jan Feb Mar Apr May Jun Jul Aug Sept Oct Nov Dec DAYS OF 2 17 26 28 28 22 13 RAIN Calculate for this rainfall data the A. range B. median C. inter-quartile range. Task 9: The times taken by 50 students to complete their maths homework are shown in the table. TIME, m (MINUTES) FREQUENCY 10 < ms 15 15 < m s 20 20 < m < 25 11 25 < т< 30 12 30< тs 35 12 35 < m s 40 a. Draw a cumulative frequency diagram. b. Estimate the median time taken. c. Estimate the lower quartile of the time taken. d. Estimate the upper quartile. e. Use your answers to parts c and d to work out an estimate for the inter-quartile range. 2. 4:50 HW2_Functional_Math_Spring2... Task 10: A rectangle with length (2x + 1) cm and width (x + 2) cm has a square of side x cut out of it. 2 X+1 х X+2 Figure 3: Schematic diagram of task 10. A. Find and simplify an expression for the shaded area. B. The shaded area is 16 cm?. Find the dimensions of the rectangle. Task 11: A is (1, –2) and B is (3, 6). A. Find the length of AB. B. Find the mid-point of AB. C. Find the equation of the perpendicular bisector of AB.
4:50 HW2_Functional_Math_Spring2.. Task 7: A submarine dives at a constant speed of 10 m/s at a diving angle measured from the vertical of 75°. If the submarine starts its dive from the surface, how deep is the front end of the submarine at the end of a 1-minute dive? 75° Figure 2: a submarine dives from the surface. Task 8: The data shows the average number of days of rainfall in Rangoon for each month of the lyear. MONTH Jan Feb Mar Apr May Jun Jul Aug Sept Oct Nov Dec DAYS OF 2 17 26 28 28 22 13 RAIN Calculate for this rainfall data the A. range B. median C. inter-quartile range. Task 9: The times taken by 50 students to complete their maths homework are shown in the table. TIME, m (MINUTES) FREQUENCY 10 < ms 15 15 < m s 20 20 < m < 25 11 25 < т< 30 12 30< тs 35 12 35 < m s 40 a. Draw a cumulative frequency diagram. b. Estimate the median time taken. c. Estimate the lower quartile of the time taken. d. Estimate the upper quartile. e. Use your answers to parts c and d to work out an estimate for the inter-quartile range. 2. 4:50 HW2_Functional_Math_Spring2... Task 10: A rectangle with length (2x + 1) cm and width (x + 2) cm has a square of side x cut out of it. 2 X+1 х X+2 Figure 3: Schematic diagram of task 10. A. Find and simplify an expression for the shaded area. B. The shaded area is 16 cm?. Find the dimensions of the rectangle. Task 11: A is (1, –2) and B is (3, 6). A. Find the length of AB. B. Find the mid-point of AB. C. Find the equation of the perpendicular bisector of AB.
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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Transcribed Image Text:4:50
HW2_Functional_Math_Spring2..
Task 7:
A submarine dives at a constant speed of 10 m/s at a diving angle measured from the
vertical of 75°. If the submarine starts its dive from the surface, how deep is the front end
of the submarine at the end of a 1-minute dive?
75°
Figure 2: a submarine dives from the surface.
Task 8:
The data shows the average number of days of rainfall in Rangoon for each month of the
lyear.
MONTH
Jan
Feb
Mar
Apr
May
Jun
Jul
Aug
Sept
Oct
Nov
Dec
DAYS OF
2
17
26
28
28
22
13
RAIN
Calculate for this rainfall data the
A. range
B. median
C. inter-quartile range.
Task 9:
The times taken by 50 students to complete their maths homework are shown in the table.
TIME, m (MINUTES)
FREQUENCY
10 < ms 15
15 < m s 20
20 < m < 25
11
25 < т< 30
12
30< тs 35
12
35 < m s 40
a. Draw a cumulative frequency diagram.
b. Estimate the median time taken.
c. Estimate the lower quartile of the time taken.
d. Estimate the upper quartile.
e. Use your answers to parts c and d to work out an estimate for the inter-quartile
range.
2.
Transcribed Image Text:4:50
HW2_Functional_Math_Spring2...
Task 10:
A rectangle with length (2x + 1) cm and width (x + 2) cm has a square of side x cut out of
it.
2 X+1
х
X+2
Figure 3: Schematic diagram of task 10.
A. Find and simplify an expression for the shaded area.
B. The shaded area is 16 cm?. Find the dimensions of the rectangle.
Task 11:
A is (1, –2) and B is (3, 6).
A. Find the length of AB.
B. Find the mid-point of AB.
C. Find the equation of the perpendicular bisector of AB.
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