hurryburning
hurryburning hurryburning
  • 10-03-2022
  • Mathematics
contestada

Suppose that x = x(t) and y = y(t) are both functions of t. If x^2 + y^2 = 25, and dx/dt = 2 when x = 3 and y = 4, what is dy/dt?

Respuesta :

zsm2800 zsm2800
  • 14-03-2022

Answer:

dy/dt = -3/2

Step-by-step explanation:

x² + y² = 25

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

x dx/dt + y dy/dt = 0

3 * 2 + 4 dy/dt = 0

so

dy/dt = -6/4 = -3/2

Answer Link

Otras preguntas

what functions do proteins,carbohydrates, lipids and nucleic acids perform
what functions do proteins,carbohydrates, lipids and nucleic acids perform
what functions do proteins,carbohydrates, lipids and nucleic acids perform
name the five types of sentences..
what functions do proteins,carbohydrates, lipids and nucleic acids perform
name the five types of sentences..
name the five types of sentences..
what functions do proteins,carbohydrates, lipids and nucleic acids perform
what functions do proteins,carbohydrates, lipids and nucleic acids perform
name the five types of sentences..