sachinpokharel99 sachinpokharel99

09-03-2022
Mathematics

contestada

If x2 + y2 + z2 = 9, dx dt = 3, and dy dt = 9, find dz dt?

Respuesta :

zsm2800 zsm2800

14-03-2022

Answer:

dz/dt = -(3x + 9y)/z

Step-by-step explanation:

x² + y² + z² = 9

2x dx/dt + 2y dy/dt + 2z dz/dt = 0

x dx/dt + y dy/dt + z dz/dt = 0

x * 3 + y * 9 + z dz/dt = 0

so

dz/dt = -(3x + 9y)/z

Answer Link

Otras preguntas

Of the runners in a marathon through northeastern Pennsylvania, 94.12% finished the race. If 2,125 runner started the race, how many finish the race?

1)Describe the historical circumstances that led Confucius to develop Confucianism 2)Explain in action taken by Confucius to share his idea 3)Discuss how Confu

Expand (4x+0.9)^2. Thanks!:))

how did the economic boom during the roaring twenties change consumers, businesses, manufacturing, and marketing practices

how did daoism differ from confucianism?

In a two week period it was sunny 3/7 of the day's. How many day's were sunny?

A rectangular billboard is 7 2/3 long and 4 yards wide what is the area of the billboard

Please help! -4(m + 6) = -8

A 1904 kg car has a speed of 12 m/s when it hits a tree. The tree doesn’t move and the car comes to rest. Find the change in kinetic energy of the car. Answer i

the sides of the hexagon shown are equal in length. the perimeter of the hexagon is at most 42 inches. find the possible side lengths of the hexagon.