Answer:
Step-by-step explanation:
If you examine the diagram you can know
<h3><u>Extra information</u><u> </u><u>:</u><u>-</u></h3>
Let's go through each answer.
A.
Answer: The amount left over was 4.05 L.
Estimation: 3.15 + 4.75 is about 7.
7 L – 4 L = 3 L
The amount left over was about 3 L.
This is incorrect because 3.15+4.75 is closer to 8 than 7.
B.
Answer: The amount left over was 3.95 L.
Estimation: 3.15 + 4.75 is about 8.
8 L – 4 L = 4 L
The amount left over was a little less than 4 L.
This is correct because 3.15+4.75 is close to 8 and to find the amount left over you do have to subtract.
The correct answer is B.
Answer: The amount left over was 3.95 L.
Estimation: 3.15 + 4.75 is about 8.
8 L – 4 L = 4 L
The amount left over was a little less than 4 L.
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Answer:
Step-by-step explanation:
So we have the function:
And we want to find the derivative using the limit process.
The definition of a derivative as a limit is:
Therefore, our derivative would be:
First of all, let's factor out a 4 from the numerator and place it in front of our limit:
Place the 4 in front:
Now, let's multiply everything by (√(x+h)(√(x))) to get rid of the fractions in the denominator. Therefore:
Distribute:
Simplify: For the first term on the left, the √(x+h) cancels. For the term on the right, the (√(x)) cancel. Thus:
Now, multiply both sides by the conjugate of the numerator. In other words, multiply by (√x + √(x+h)). Thus:
The numerator will use the difference of two squares. Thus:
Simplify the numerator:
Both the numerator and denominator have a h. Cancel them:
Now, substitute 0 for h. So:
Simplify:
(√x)(√x) is just x. (√x)+(√x) is just 2(√x). Therefore:
Multiply across:
Reduce. Change √x to x^(1/2). So:
Add the exponents:
And we're done!
Answer:
What do you mean, I'll help.
Step-by-step explanation: