38. y = x² - 2x, y = x cos(Tx/4); about y 48 39-42 Each integral represents the volume of a solid. Describe the solid. 40. 7, (1- y²)° dy T 39. T" sin x dx 42. [3 – (3 – VE ]dz | - 41. 7 (y* – y®) dy
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
![tor to find (approximately) the volume of the solid obtained by
Sout the y-axis
35-36 Use a graph to find approximate x-coordinates of the
points of intersection of the given curves. Then use your calcula-
(b
rotating about the x-axis the region bounded by these curves.
CAS 46. (a
35. y = 1 + x*, y= 3- x
36. y = 2x - x², y=x²/(x² + 1)
CAS 37-38 Use a computer algebra system to find the exact volume
of the solid obtained by rotating the region bounded by the
given curves about the specified line.
47-
37. y = sin?x, y = 0, 0<x <T; about y
= -1
47
38. y = x - 2x, y = x cos(T X/4); about y = 2
48
39-42 Each integral represents the volume of a solid. Describe
the solid.
- dy
40. п
39. T" sin x dx
-1
42. [3* – (3 – VE Y]dz
TT
41. 7 (y* - y°) dy
43. A CAT scan produces equally spaced cross-sectional views
of a human organ that provide information about the organ
otherwise obtained only by surgery. Suppose that a CAT
scan of a human liver shows cross-sections spaced 1.5 cm
apart. The liver is 15 cm long and the cross-sectional areas,
in square centimeters, are 0, 18, 58, 79, 94, 106, 117, 128,
63, 39, and 0. Use the Midpoint Rule to estimate the volume
of the liver.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff2195755-482e-43b2-9535-9be7e3b0c44a%2Fb95f450a-fe09-4828-8a92-ce3dc7b14b86%2Fc3tkq5_processed.jpeg&w=3840&q=75)
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