36. The fastest average speed by a cyclist across the continental United States is 15.4 mph, by Pete Penseyres. If he travelled a total distance of about 3107.5 miles at this speed, find his time cycling. Write time in days, hours, and minutes. A. 7 days, 8 hours, 40 minutes B. 6 days, 11 hours, 30 minutes C. 5 days, 9 hours, 20 minutes D. 8 days, 9 hours, 50 minutes

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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Kindly please answer numbers 36-37 questions. Since your policy is at-least maximum with 3 per sub questions is okay. This is of my reviewer.
30. Evaluate
dx
S₁₂√₁ + √x
A. 6.667
B. 7.333
C. 5.333
D. 4.667
31. Find the distance from the point A(1, 5, -3) to the plane
4x + y + 8z +33 = 0.
A. ½
C. 2/3
D. 1.5
B. 2
32. A given alloy contains 20% copper and 5% tin. How many
pounds of copper and of tin must be melted with 100 lb of
the given alloy to produce another alloy analyzing 30%
copper and 10% tin? All percentages are by weight.
A. 20.5 lb copper and 4.5 lb tin
B. 17.5 lb
copper and 7.5 lb tin
and 5.5 lb tin
C. 19.5 lb
copper
D. 18.5 lb copper and 6.5 lb tin
33. Find each interior angle measure of a quadrilateral if its
interior angles are represented by x + 10, 2x + 20, 3x - 50
and 2x 20.
A. 80°, 100°, 120°, 60°
B. 70°, 110°, 120°, 60°
C. 50°, 110°, 150°, 50°
D. 60°, 120°, 100°, 80°
34. In Nigeria the rate of deforestation is 5.25% per year. If
the decrease in forests in Nigeria is exponential, how long
will it take until only 25% of the current forests are
left? [Hint: Use the formula A = A0e-rt]
A. 24.41 years.
c. 26.41 years
D. 23.41 years
B. 25.41 years
35. The perpendicular distance between two parallel tangents of
a reversed curve is 7.5 m and the length of the long chord.
is equal to 65 m. Compute the common radius of the reversed
curve.
A. 156.20
C. 140.87
D. 149.20
B. 160.40
36. The fastest average speed by a cyclist across the
continental United States is 15.4 mph, by Pete Penseyres.
If he travelled a total distance of about 3107.5 miles at
this speed, find his time cycling. Write time in days,
hours, and minutes.
A. 7 days, 8 hours, 40 minutes.
B. 6 days, 11 hours, 30 minutes
C. 5 days, 9 hours, 20 minutes
D. 8 days, 9 hours, 50 minutes.
37. If log x to the base 2 minus log of 5 to the base is equal
to 3, find the value of x.
A. 60
C. 40
D. 50
B. 55
Transcribed Image Text:30. Evaluate dx S₁₂√₁ + √x A. 6.667 B. 7.333 C. 5.333 D. 4.667 31. Find the distance from the point A(1, 5, -3) to the plane 4x + y + 8z +33 = 0. A. ½ C. 2/3 D. 1.5 B. 2 32. A given alloy contains 20% copper and 5% tin. How many pounds of copper and of tin must be melted with 100 lb of the given alloy to produce another alloy analyzing 30% copper and 10% tin? All percentages are by weight. A. 20.5 lb copper and 4.5 lb tin B. 17.5 lb copper and 7.5 lb tin and 5.5 lb tin C. 19.5 lb copper D. 18.5 lb copper and 6.5 lb tin 33. Find each interior angle measure of a quadrilateral if its interior angles are represented by x + 10, 2x + 20, 3x - 50 and 2x 20. A. 80°, 100°, 120°, 60° B. 70°, 110°, 120°, 60° C. 50°, 110°, 150°, 50° D. 60°, 120°, 100°, 80° 34. In Nigeria the rate of deforestation is 5.25% per year. If the decrease in forests in Nigeria is exponential, how long will it take until only 25% of the current forests are left? [Hint: Use the formula A = A0e-rt] A. 24.41 years. c. 26.41 years D. 23.41 years B. 25.41 years 35. The perpendicular distance between two parallel tangents of a reversed curve is 7.5 m and the length of the long chord. is equal to 65 m. Compute the common radius of the reversed curve. A. 156.20 C. 140.87 D. 149.20 B. 160.40 36. The fastest average speed by a cyclist across the continental United States is 15.4 mph, by Pete Penseyres. If he travelled a total distance of about 3107.5 miles at this speed, find his time cycling. Write time in days, hours, and minutes. A. 7 days, 8 hours, 40 minutes. B. 6 days, 11 hours, 30 minutes C. 5 days, 9 hours, 20 minutes D. 8 days, 9 hours, 50 minutes. 37. If log x to the base 2 minus log of 5 to the base is equal to 3, find the value of x. A. 60 C. 40 D. 50 B. 55
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