If 2x + 3y = 15 and xy = 6, find 4x2 + 9y2Need a quick help for my homework please help.
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Answer: V =
Step-by-step explanation: A solid formed by revolving the region about the x-axis can be considered to have a thin vertical strip with thickness Δx and height y = f(x). The strip creates a circular disk with volume:
V = Δx
Using the <u>Disc</u> <u>Method</u>, it is possible to calculate all the volume of these strips, giving the volume of the revolved solid:
V =
Then, for the region generated by y = - x + 4:
V =
V =
V =
V =
V =
The volume of the revolved region is V =
<u>Given</u> -
- Area of rectangular field = Area of square field
- side of square = 60m
- breadth of the rectangular field = 32m
<u>To find</u> -
- length of the rectangular field
<u>Solution</u> -
Area of square = side × side = (60 × 60)m² =
Area of square =3600m²
Hence,
Area of rectangular field = Area of square field = 3600m²
Area of rectangular field = l × b = 3600m²
=> l × 32m = 3600m²
=> l =
=> l = 112.5m
so, the length = 112.5m