1) m − 3 ≥ 3 A) m ≥ −6 : B) m ≥ 9 : C) m ≥ −6 : D) m ≥ 6 :
1 answer:
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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:
C
Step-by-step explanation:
Recall the equation for a circle:
, where the center is (h,k) and the radius is r.
The given equation is:
Another way to write this is:
Thus, we can see that h=-5 and k=-7.
The center is at (-5, -7).
In this problem, represents the sea level. Since Dominic is
feet below the surface (sea level), his current location is at
feet.
The same concept can be applied to Karen, who is at feet.
We need to find who is lower, or farther below . This means the answer is
.