Sec (30) (08300 8. You lean a 20 foot ladder is leaning against a wall so you can replace a burned out light at the top of the wall. You push the bottom of the ladder toward the wall at a rate of 1 foot per second to raise the top of the ladder along the wall toward the light. When the base of the ladder is 12 ft from the wall, how fast is the top of the ladder moving up the wall? √x² + y² = 1² Ⓒ 2x / 42 + 2y o/x = 1² ot dy 2x = x + 2y = 1 = 0 ot de df 2+ = 147/5 dt Page 4 of 7 20ft, 12 ft

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Sec (30°)
(0830
8. You lean a 20 foot ladder is leaning against a wall so you can replace a burned out light at the top of
the wall. You push the bottom of the ladder toward the wall at a rate of 1 foot per second to raise the top
of the ladder along the wall toward the light. When the base of the ladder is 12 ft from the wall, how fast
is the top of the ladder moving up the wall?
0x² + y² = 1²
2
© 2x 1/2 + 2y o/v = 1² ot
dy
dt
ㅏ
2x²
2x= x + 2y 5/1/
2y 31/ = 0
df
d+ = 11/²5
dt
Page 4 of 7
is
20ft
Iz ft
?
Transcribed Image Text:Sec (30°) (0830 8. You lean a 20 foot ladder is leaning against a wall so you can replace a burned out light at the top of the wall. You push the bottom of the ladder toward the wall at a rate of 1 foot per second to raise the top of the ladder along the wall toward the light. When the base of the ladder is 12 ft from the wall, how fast is the top of the ladder moving up the wall? 0x² + y² = 1² 2 © 2x 1/2 + 2y o/v = 1² ot dy dt ㅏ 2x² 2x= x + 2y 5/1/ 2y 31/ = 0 df d+ = 11/²5 dt Page 4 of 7 is 20ft Iz ft ?
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