Answer: The area is 510.25 cm². If the circumference of the cap were smaller then the area would be smaller as well
Step-by-step explanation:
First, you must find the radius
<em>80.1 ÷ 3.14 = 25.5</em>
<em>25.5 ÷ 2 = 12.75 <---- radius</em>
Then from that, you find the area
A=πr²
<em>12.75² = 162.5</em>
<em>162.5 × 3.24 = 510.25</em>
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<em>Hope this was helpful!</em>
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Answer: 103
Step-by-step explanation:
8 x 6.5 = 52,
52 + 8 = 60 (pints in total)
there are 2 cups in 1 pint so 60 x 2 = 120
120 - 17 = 103
Answer:
Yes , function is continuous in [0,2] and is differentiable (0,2) since polynomial function are continuous and differentiable
Step-by-step explanation:
We are given the Function
f(x) =
The two basic hypothesis of the mean valued theorem are
- The function should be continuous in [0,2]
- The function should be differentiable in (1,2)
upon checking the condition stated above on the given function
f(x) is continuous in the interval [0,2] as the functions is quadratic and we can conclude that from its graph
also the f(x) is differentiable in (0,2)
f'(x) = 6x - 2
Now the function satisfies both the conditions
so applying MVT
6x-2 = f(2) - f(0) / 2-0
6x-2 = 9 - 1 /2
6x-2 = 4
6x=6
x=1
so this is the tangent line for this given function.
Answer:

Step-by-step explanation:
We have the expression:

The first thing we want to do, is to have the same denominator in both equations, then we need to multiply the first term by (2/2), so the denominator becomes 4*x
We will get:

Now we can directly add the terms to get:

We can't simplify this anymore
Answer:
x^4
Step-by-step explanation: