a.A surfboard 9 ft. long stands on the ground and leans against a wall. Due to a strong external force, the bottom part of the board moves horizontally against the wall at a rate of 0.8 ft./sec. How fast is the top of the surfboard moving up the wall when its bottom part is 4 ft. from the wall? (See Figure 4) z = 9 ft. Figure 4 y dx -0,8t dt sec x = 4 ft.

Linear Algebra: A Modern Introduction
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Chapter1: Vectors
Section1.4: Applications
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a.A surfboard 9 ft. long stands on the ground and leans against a wall. Due to a
strong external force, the bottom part of the board moves horizontally against the
wall at a rate of 0.8 ft./sec. How fast is the top of the surfboard moving up the wall
when its bottom part is 4 ft. from the wall? (See Figure 4)
dy
z = 9 ft.
Figure 4
y
dx
-0.8·
sec
dt
x = 4 ft.
6. A vertical liquid storage tank shaped like a cone has a radius of 8 m at the top and
22 m high. If liquid flows into the storage tank at a rate of 18 m³/s, how fast is the
depth of the liquid increasing when the liquid is 14 m deep?
Transcribed Image Text:a.A surfboard 9 ft. long stands on the ground and leans against a wall. Due to a strong external force, the bottom part of the board moves horizontally against the wall at a rate of 0.8 ft./sec. How fast is the top of the surfboard moving up the wall when its bottom part is 4 ft. from the wall? (See Figure 4) dy z = 9 ft. Figure 4 y dx -0.8· sec dt x = 4 ft. 6. A vertical liquid storage tank shaped like a cone has a radius of 8 m at the top and 22 m high. If liquid flows into the storage tank at a rate of 18 m³/s, how fast is the depth of the liquid increasing when the liquid is 14 m deep?
dy
0.397 ft/sec
dt
a.
dh
6.
dt
= 0.22 m/sec
Transcribed Image Text:dy 0.397 ft/sec dt a. dh 6. dt = 0.22 m/sec
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