A particle moving along a hyperbola xy =8. as it reaches the point (4,2), the y-coordinate is decreasing at a rate of 3cm/s. how fast is the x-coordinate of the point changing at that instant.

Question

01-11-2017
Mathematics

contestada

A particle moving along a hyperbola xy =8. as it reaches the point (4,2), the y-coordinate is decreasing at a rate of 3cm/s. how fast is the x-coordinate of the point changing at that instant.

Respuesta :

Otras preguntas

During the current year, South Corporation had 16.0 million shares of common stock outstanding. Four thousand 15% convertible bonds, each with $1000 face value,

Ok so I usually don’t do this but I just need an answer , on Instagram a notification popped up while I was watching someone’s story ,and it started by saying “

Amy filled bags with mixed nuts. The weights of the bags are 1/8 lb, 1/4 lb, 1/8 lb, 1/2 lb, 1/8 lb, 1/4 lb, 1/8lb, 1/2 lb, 1/8 lb, 1/4 lb, 1/8 lb, 1/2 lb, 1/

Which of these would not be used to correct a run-on sentence? A. A period B. Parentheses C. A semicolon D. A comma and a conjunction

An employer uses the linear regression equation y = 0.18 x + 320.22 to predict the weekly salary, y, of an employee who sells x dollars worth of merchandise. La

Paul uses the equation y=8x+40 to model the situation. What does the number 40 represent in this equation? Be sure to explain using a complete thought!

How long would it take Belinda's $800 investment to double in value if she has a bond with a 8.75% interest rate?

On the crowded train, prisoners are cold and miserable. Eleizer describes feeling like everyone's brains were dying and losing their memories. He goes on to say

How did most African Americans live in the North? in poverty on farms in poverty in the cities moderately wealthily in cities moderately wealthily on farms

Describe in detail what mowgli’s three months in the village were like. What was most difficult and what job was he given by Buldeo?

Kalahira Kalahira · Answer 1 · 2017-11-12T13:24:27+01:00

increasing by 6 cm/s. Since you're looking for rate of change per instant, you need to get the first derivative of the function the point is moving along. d/dx [xy] = 8 d/dx [y]*x + y*d/dx[x] = 0 y'x + 1y = 0 y'x + y = 0 y'x = -y y' = -y/x So the slope of the function at (4,2) is y' = -2/4 y' = -1/2 The rate of X changing will be this equation that then is solved for X. So -1/2 = -3/X -X/2 = -3 X = 6 So at the moment the particle reaches (4,2) the value of the x-coordinate is increasing at a rate of 6 cm/s