A child flies a kite at a height of 160 ft, the wind carrying the kite horizontally away from the child at a rate of 68 ft/sec. How fast must the child let out the string when the kite is 340 ft away from the child? Let x represent the horizontal distance through which the kite is blown and let y represent the distance between the child and the kite. Write the equation that relates these rates. dy dt = dx dt (Type an expression using x and y as the variables.)
A child flies a kite at a height of 160 ft, the wind carrying the kite horizontally away from the child at a rate of 68 ft/sec. How fast must the child let out the string when the kite is 340 ft away from the child? Let x represent the horizontal distance through which the kite is blown and let y represent the distance between the child and the kite. Write the equation that relates these rates. dy dt = dx dt (Type an expression using x and y as the variables.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A child flies a kite at a height of 160 ft, the wind carrying the kite horizontally away from the child at a rate of 68 ft/sec. How fast must the child
let out the string when the kite is 340 ft away from the child?
Let x represent the horizontal distance through which the kite is blown and let y represent the distance between the child and the kite. Write
the equation that relates these rates.
dy
dt
dx
dt
(Type an expression using x and y as the variables.)
Transcribed Image Text:When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.04 cm/min. At what rate is the plate's area increasing
when the radius is 58 cm?
Write the equation that relates the rate of change in area to the rate of change in radius.
dA
dt
=
dr
dt
(Type an expression using r as the variable.)
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