Answer:
Step-by-step explanation:
<u>Linearization</u>
It consists of finding an approximately linear function that behaves as close as possible to the original function near a specific point.
Let y=f(x) a real function and (a,f(a)) the point near which we want to find a linear approximation of f. If f'(x) exists in x=a, then the equation for the linearization of f is
Let's find the linearization for the function
at (0,5) and (75,10)
Computing f'(x)
At x=0:
We find f(0)
Thus the linearization is
Now at x=75:
We find f(75)
Thus the linearization is
Cody is correct.
If you multiply 1/6, which is a positive number, by any negative number, then the result will be negative. All negative numbers are less that 1/6, because all negative numbers are to the left of 1/6 on the number line.
1/6 * (-12) = -2 and -2 < 1/6
1/6 * (-1/10) = -1/60 and -1/60 < 1/6
So the ratios would look like this:
2.394 inches : 1 minute
x inches : 7.489 minutes
You need to do this: 7.489*1*2.394.
= 7.489*2.394
≈ 17.929 inches.
Answer:
Wait my question is where is tank B?
Step-by-step explanation:
An architect built a scale model of a shopping mall. On the model, a circular fountain is
20
20 inches tall and
22.5
22.5 inches in diameter. The actual fountain is to be
8
8 feet tall. What will be the diameter of the fountain? (A)
7.1
7.1 feet (B)
9
9 feet (C)
7
7 feet (D)
10.5
10.5 feet
Explanation
Verified
Step 1
1 of 2
Given a circular fountain is 20
i
n
c
h
e
s
inches tall and 22.5 inches in diameter.
Writing above scale as fraction
Height
Diameter
=
20
22.5
Diameter
Height
=
22.5
20
Now given the fact that actual fountain is 8
f
e
e
t
feet i.e 96
i
n
c
h
e
s
inches tall and let its diameter be
x
x
i
n
c
h
e
s
inches, therefore
20
22.5
=
96
x
22.5
20
=
x
96
