Ladders used by fruit pickers are typically tapered with a wide bottom for stability and a narrow top for ease of picking. If the bottom rung of such a ladder is 49 inches wide and the top rung is 24 inches wide, how many rungs does the ladder have if each rung is 2.5 inches shorter than the one below it? How much material would be needed to make the rungs for the ladder described?
Ladders used by fruit pickers are typically tapered with a wide bottom for stability and a narrow top for ease of picking. If the bottom rung of such a ladder is 49 inches wide and the top rung is 24 inches wide, how many rungs does the ladder have if each rung is 2.5 inches shorter than the one below it? How much material would be needed to make the rungs for the ladder described?
To find: Ladders used by fruit pickers are typically tapered with a wide bottom for stability and a narrow top for ease of picking. If the bottom rung of such a ladder is 49 inches wide and the top rung is 24 inches wide, how many rungs does the ladder have if each rung is inches shorter than the one below it? How much material would be needed to make the rungs for the ladder described?
To determine
To find: Ladders used by fruit pickers are typically tapered with a wide bottom for stability and a narrow top for ease of picking. If the bottom rung of such a ladder is 49 inches wide and the top rung is 24 inches wide, how many rungs does the ladder have if each rung is inches shorter than the one below it? How much material would be needed to make the rungs for the ladder described?
2. Symmetry Evaluate the following integrals using symmetry argu-
ments. Let R = {(x, y): -a ≤ x ≤ a, −b ≤ y ≤ b}, where a
and b are positive real numbers.
a.
SS
Sf xye
xye¯(x² + y²)
dA
R
b.
C
sin (x − y)
-
dA
x² + y² + 1
R
Choose a convenient order When converted to an iterated integral, the following double integrals are easier to evaluate in one order
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