Answer:
39.5
Step-by-step explanation:
it's how many times 0.08 goes into 3.16
Answer:
3.14
Step-by-step explanation:
Answer:
22 inches
Step-by-step explanation:
Given:
- Diameter - 7 inches
- Radius - 3.5 inches
Circumference of circle = πd , where d is the diameter of a circle.
= 22/7 * 7 inches
Circumference = 22 inches
Answer:
A)

B)

Step-by-step explanation:
<em>x</em> and <em>y</em> are differentiable functions of <em>t, </em>and we are given the equation:

First, let's differentiate both sides of the equation with respect to <em>t</em>. So:
![\displaystyle \frac{d}{dt}\left[xy\right]=\frac{d}{dt}[6]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdt%7D%5Cleft%5Bxy%5Cright%5D%3D%5Cfrac%7Bd%7D%7Bdt%7D%5B6%5D)
By the Product Rule and rewriting:
![\displaystyle \frac{d}{dt}[x(t)]y+x\frac{d}{dt}[y(t)]=0](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdt%7D%5Bx%28t%29%5Dy%2Bx%5Cfrac%7Bd%7D%7Bdt%7D%5By%28t%29%5D%3D0)
Therefore:

A)
We want to find dy/dt when <em>x</em> = 4 and dx/dt = 11.
Using our original equation, find <em>y</em> when <em>x</em> = 4:

Therefore:

Solve for dy/dt:

B)
We want to find dx/dt when <em>x</em> = 1 and dy/dt = -9.
Again, using our original equation, find <em>y</em> when <em>x</em> = 1:

Therefore:

Solve for dx/dt:

Assuming that you were to simplify this, you'd get 2n + 7n + 8 = 9n + 8.