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

1. Fill in the blank: Esta señora es _______ madre de Carlos. A. las B. la C. el D. ella 2. Which part of this sentence is not correct? Yo soy la señor Quintana

If each window is 4ft 2in how much stripping will you need for 28 windows

Round to the given place 9185 thousands

The entire ride takes about twenty minutes.

1. Write the answer in the form (x, y) 2.Write the answer in the form (x, y, z). 3. explain the answer to the inequality. 4. best explain question four by simpl

what would happen if insects stopped Gathering pollen

Why is an electron microscope unsuitable to study living cells?

Is color and odor a chemical property or physical property?

how were slaves captured?

How did Regents v. Bakke change affirmative action policies?