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Question 1 A particle move along the hyperbola, xy = 48. As it reaches the point (6,8), the y-coordinate is decreasing at a rate of 5 cm/s. How fast is the x-coordinate changing at this instant? a. Implicitly differentiate $xy = 48$ with respect to time, $t$. b. What variable are you looking? $\frac{dy}{dt}$ $t$ $y$ $\frac{dx}{dt}$ $x$ c. Solve for that variable. d. How fast is the x-coordinate changing at this instant?

          Question 1
A particle move along the hyperbola, xy = 48. As it reaches the point (6,8), the y-coordinate is
decreasing at a rate of 5 cm/s. How fast is the x-coordinate changing at this instant?
a. Implicitly differentiate $xy = 48$ with respect to time, $t$.
b. What variable are you looking?
$\frac{dy}{dt}$
$t$
$y$
$\frac{dx}{dt}$
$x$
c. Solve for that variable.
d. How fast is the x-coordinate changing at this instant?

Question 1
A particle move along the hyperbola, xy = 48. As it reaches the point (6,8), the y-coordinate is
decreasing at a rate of 5 cm/s. How fast is the x-coordinate changing at this instant?
a. Implicitly differentiate xy = 48 with respect to time, t.
b. What variable are you looking?
(dy)/(dt)
t
y
(dx)/(dt)
x
c. Solve for that variable.
d. How fast is the x-coordinate changing at this instant?

Added by Noelia S.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Suman Saurav Thakur

03/30/2022

Step 1

To implicitly differentiate y=48, we differentiate both sides of the equation with respect to t. The derivative of y with respect to t is dy/dt, and the derivative of 48 with respect to t is 0 since it is a constant. So, the implicit differentiation of y=48 Show more…

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O Question 1 A particle move along the hyperbola,y=48.As it reaches the point 6,8,the y-coordinate is decreasing at a rate of 5 cm/s. How fast is the -coordinate changing at this instant? a.Implicitly differentiate y=48 with respect to time,t. b.What variable are you looking? dy dt Ot Oy dt Or c.Solve for that variable d.How fast is the -coordinate changing at this instant Select an answer Check Answer