gracesommerville gracesommerville
  • 01-03-2020
  • Mathematics
contestada

The radius r(cm) of a circle is related
to time t(seconds) by the equation
r=0.4t + 1.5.
(a) Calculate the initial value of the
radius.
(b) Find the rate of change of r.

Respuesta :

amna04352
amna04352 amna04352
  • 01-03-2020

Answer:

a) 1.5cm

b) dr/dt = 0.4cm/sec

Step-by-step explanation:

r = 0.4t + 1.5

Initial is at t = 0,

r = 1.5 cm

b)

dr/dt = 0.4cm/sec

Slope = change in r/change in t

0.4 is the rate of change in r with respect to time

Alternately,

At t = 0, r = 1.5

At t = 1, r = (0.4)(1) + 1.5 = 1.9

(1.9-1.5)/(1-0) = change in r/change in time

= 0.4 cm/sec

Answer Link

Otras preguntas

What divisor is represented by the synthetic division below?  –5 5 x + 5 x – 5
What foreign policy did the Tokugawa practice
The Pythagorean theorem
An electric motor is connected to a battery. The current flows through brushes to a commutator ring, which is attached to an electromagnet turning through a per
Certain risk factors can predict whether or not an individual will get cancer. a. True b. False
Art that conforms to an idea of something , such as beauty, stays or power is called?
The _____ movement argues that autism, ADHD, and dyslexia are naturally occurring, unique cases of neurological wiring rather than diseases that must be cured.
Total lung capacity (tlc) is equal to residual volume plus __________. ls23l
The high rate of child labor at the turn of the twentieth century was a consequence of
Since precambrian time, ending about 544 million years ago, time on earth has been divided into three major