Help plsss 40. Find the centroid of the first quadrant area bounded by the parabola y = x² and the line y = x.b. (-1/3, 3/4)a. (1/3, 3/4)с. (1/2, 2/5)d. (-1/2, 2/5)41. Evaluate S dxdydzа. 1/3b. 1/4c. 1/2d. 1/642. If you are given the word PARALLEL, compute the number of different 8-letter arrangements that can be formed.a. 10,180b. 1,120с. 3,360d. 4,45043. A restaurant has three kinds of toys and is giving one toy for each purchase of a kiddie meal. Find the probability of getting thethree toys in five purchase.c. 0.5844. There are 15 married couples in a party. Find the number of ways of choosing a man and a woman such that they are not married.с. 140a. 0.70b. 0.62d. 0.66а. 210b. 150d. 19045. In how many ways can 6 boys be seated at a round table?а. 120b. 110c. 100d. 9046. The odds are 13 to 8 in favor of winning the first prize of a lottery. What is the probability of winning that prize?c. 0.61947. Find the general solution of sin x sin y dx + cos x cos y dy = 0.a. 0.691b. 0.617d. 0.671a. sin y = C cos xb. cos x = C x sin yc. sin x = C sin yd. sin x = C x cos y48. What is the differential equation of the family of parabolas having vertices at the origin and their foci on the x-axis?

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Answered: ). Find the centroid of the first…

). Find the centroid of the first quadrant area bounded by the parabola y = x2 and the line y = x. a. (1/3, 3/4) %3D b. (-1/3, 3/4) c. (1/2, 2/5) d. (-1/2, 2/5)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.1: The Rectangular Coordinate System

Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...

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Question

Help plsss

40. Find the centroid of the first quadrant area bounded by the parabola y = x² and the line y = x.
b. (-1/3, 3/4)
a. (1/3, 3/4)
с. (1/2, 2/5)
d. (-1/2, 2/5)
41. Evaluate S dxdydz
а. 1/3
b. 1/4
c. 1/2
d. 1/6
42. If you are given the word PARALLEL, compute the number of different 8-letter arrangements that can be formed.
a. 10,180
b. 1,120
с. 3,360
d. 4,450
43. A restaurant has three kinds of toys and is giving one toy for each purchase of a kiddie meal. Find the probability of getting the
three toys in five purchase.
c. 0.58
44. There are 15 married couples in a party. Find the number of ways of choosing a man and a woman such that they are not married.
с. 140
a. 0.70
b. 0.62
d. 0.66
а. 210
b. 150
d. 190
45. In how many ways can 6 boys be seated at a round table?
а. 120
b. 110
c. 100
d. 90
46. The odds are 13 to 8 in favor of winning the first prize of a lottery. What is the probability of winning that prize?
c. 0.619
47. Find the general solution of sin x sin y dx + cos x cos y dy = 0.
a. 0.691
b. 0.617
d. 0.671
a. sin y = C cos x
b. cos x = C x sin y
c. sin x = C sin y
d. sin x = C x cos y
48. What is the differential equation of the family of parabolas having vertices at the origin and their foci on the x-axis?

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