Question
Please show all Work. Written Down, explain and no shortcuts.
Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the specified axis. Y = x2 , y = 0, x = 1,x = 8: about x = 1 Select the correct answer. V = 20,482 pi V = 10,246 pi V = 10,239 pi V = 10,241/6 pi V = 3413 pi The region bounded by the given curves is rotated about the specified axis. Find the volume of the resulting solid by any method. y = x2 + 3x - 10; about x-axis Select the correct answer. V = 560.23 pi V = 557.73 pi V = 565.68 pi V = 580.57 pi V = 555.57 pi The height of a monument is 20 m. A horizontal cross-section at a distance x meters from the top is an equilateral triangle with side x/4 meters. Find volume of the monument. Select the correct answer. The region bounded by the curves is rotated about the specified axis. Find the volume of the resulting solid by any method x2 + (y - 1)2 = 1; about the y-axis Select the correct answer. V = 5/3 pi V = 2/3 pi V = 1/3 pi V = 4/3 pi V = 7/3 pi If 132 J of work are needed to stretch a string from 9 cm to 12 cm and another 588 J are needed to stretch it from 12 cm to 19 cm. What is the natural length of the spring? Select the correct answer. 6 cm 5 cm 3 cm 4 cm 1 cm A heavy rope, 40 ft long, weighs 0.8 lb/ft and hangs over the edge of the building 110 ft high. How much work is done in pulling the rope to the top of the building? Select the correct answer. 640 ft-ld 590 ft-ld 641 ft-ld 489 ft-ld 740 ft-ld
Explanation / Answer
10d
11b
12a
13b
14e
15b
