An artist lays down a white triangular background on a building on which she will paint a Penrose triangle. The triangular area measures 20 ft on each side and will be covered with three layers of primer paint. a. To the nearest square foot, what is the area of the triangular region to be primed? b. If primer paint covers 200 ft 2 /gal , how many gallons of primer must be purchased?
An artist lays down a white triangular background on a building on which she will paint a Penrose triangle. The triangular area measures 20 ft on each side and will be covered with three layers of primer paint. a. To the nearest square foot, what is the area of the triangular region to be primed? b. If primer paint covers 200 ft 2 /gal , how many gallons of primer must be purchased?
Solution Summary: The author calculates the area of the triangular region to be primed if each side measures as 20ft.
An artist lays down a white triangular background on a building on which she will paint a Penrose triangle. The triangular area measures
20
ft
on each side and will be covered with three layers of primer paint.
a. To the nearest square foot, what is the area of the triangular region to be primed?
b. If primer paint covers
200
ft
2
/gal
, how many gallons of primer must be purchased?
5
Use the method of disks to find the volume of the solid that is obtained
when the region under the curve y = over the interval [4,17] is rotated
about the x-axis.
3. Use the method of washers to find the volume of the solid that is obtained
when the region between the graphs f(x) = √√2 and g(x) = secx over the
interval ≤x≤ is rotated about the x-axis.
4. Use cylindrical shells to find the volume of the solid generated when the
region enclosed by the given curves is revolved about the x-axis.
y = √√x, y = 0, y = √√3
College Algebra with Modeling & Visualization (5th Edition)
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