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30. Find the area bounded by the parabola x = 8y and its latus rectum. A 10.67 sq. units B. 32 sq. units C. 48 sq. units D. 16.87 sg. units

30. Find the area bounded by the parabola x = 8y and its latus rectum. A 10.67 sq. units B. 32 sq. units C. 48 sq. units D. 16.87 sg. units

Advanced Engineering Mathematics
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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27. Solve 2xydx + xPdy = 0. A xy = C B. xy = C C. xy = C D. xy = C 28. Solve (D: - 40 +4)y = 0 A y=C, +Ce C. y= Cie+ Caxe D. y=C + Caxe 20. If fix) = 7* + 1. what is f(x + 1)- fix)? A B. 7.*1 c. 6(7-) D. 7-1 30. Find the area bounded by the parabola x = By and its latus rectum. A 10.67 sq. units B. 32 sq. units C. 48 sg. units D. 16.67 sq units 31. The maximum period for the limits of the Fourier series A. O° 32 Evaluate the terms of a Fourier series ej10mt) + e^(-j10mt) at t=1. A O B. 1 C. 2 33. The Macdaurin series expansion of i A 1-+-+. B. 1-+*-r +- C. 1++++ В. ФО С. 180° D. 360° D. 4 14 2 41 D. 1+x+* 34. Find the Fourier series of f(x) = x°, -T<x<T. A n + E-1)" cos nx B. + E-1)* sin nx c. + E-1)* cos nx D. + E-1)* sin nx 35. The cost per hour of running a motor boat is proportional to the cube of the speed. At what speed will the boat run against a current of 8 km/hr in order to go a given distance most economically? A 10 km/hr B. 13 km/hr C. 11 km/hr D. 12 kmhr 36. This is the method used to represent a periodic function by a series of sinusoids to any desired degree of accuracy. A Maciaurin's Series C. Taylor's series B. Fourier Series D. Laplace transfoms 37. In a poker game consisting of 5 cards, what is the probability of holding 5 spades? C. 1479/2508060 D. 1584/2508960 A 1287/2508060 B. 1376/25e8960 38. Determine (1+ ny as n approaches zero n non - negative. A 1 B. O c. infinity D. 27183 30. A.coin is biased so that a head is twice as like to occur as a tail. If the coin is tossed 3 times, what is the probabity of getting 2 tails and 1 head? A 13 B. 27 C. 29 D. 5/8 40. A regular pentagon has sides of 20 cm. An inner pentagon with sides of 10 cm is inside and concentric to the larger pentagon. Determine the area inside the larger pentagon but outside of the smaller pentagon. A 430.70 sq. cm. B. 573.26 sq. cm. C. 473.77 sq. cm. D. 516.14 sq. cm
Transcribed Image Text:27. Solve 2xydx + xPdy = 0. A xy = C B. xy = C C. xy = C D. xy = C 28. Solve (D: - 40 +4)y = 0 A y=C, +Ce C. y= Cie+ Caxe D. y=C + Caxe 20. If fix) = 7* + 1. what is f(x + 1)- fix)? A B. 7.*1 c. 6(7-) D. 7-1 30. Find the area bounded by the parabola x = By and its latus rectum. A 10.67 sq. units B. 32 sq. units C. 48 sg. units D. 16.67 sq units 31. The maximum period for the limits of the Fourier series A. O° 32 Evaluate the terms of a Fourier series ej10mt) + e^(-j10mt) at t=1. A O B. 1 C. 2 33. The Macdaurin series expansion of i A 1-+-+. B. 1-+*-r +- C. 1++++ В. ФО С. 180° D. 360° D. 4 14 2 41 D. 1+x+* 34. Find the Fourier series of f(x) = x°, -T<x<T. A n + E-1)" cos nx B. + E-1)* sin nx c. + E-1)* cos nx D. + E-1)* sin nx 35. The cost per hour of running a motor boat is proportional to the cube of the speed. At what speed will the boat run against a current of 8 km/hr in order to go a given distance most economically? A 10 km/hr B. 13 km/hr C. 11 km/hr D. 12 kmhr 36. This is the method used to represent a periodic function by a series of sinusoids to any desired degree of accuracy. A Maciaurin's Series C. Taylor's series B. Fourier Series D. Laplace transfoms 37. In a poker game consisting of 5 cards, what is the probability of holding 5 spades? C. 1479/2508060 D. 1584/2508960 A 1287/2508060 B. 1376/25e8960 38. Determine (1+ ny as n approaches zero n non - negative. A 1 B. O c. infinity D. 27183 30. A.coin is biased so that a head is twice as like to occur as a tail. If the coin is tossed 3 times, what is the probabity of getting 2 tails and 1 head? A 13 B. 27 C. 29 D. 5/8 40. A regular pentagon has sides of 20 cm. An inner pentagon with sides of 10 cm is inside and concentric to the larger pentagon. Determine the area inside the larger pentagon but outside of the smaller pentagon. A 430.70 sq. cm. B. 573.26 sq. cm. C. 473.77 sq. cm. D. 516.14 sq. cm
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