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Evgen [1.6K]
2 years ago
9

What is Difference Quotient used for in real life?

Mathematics
1 answer:
Vitek1552 [10]2 years ago
4 0
What they're going to do is use that formula, then let h get very small ... so small, in fact, that goes to zero "in the limit." And when you do that, you're doing elementary calculus.

Here's an example. Let's take a simple quadratic like y = x^2. This is a parabola that opens upward, but it's curving all the way. It passes through the point (2, 4), and the question is to find the slope of the line tangent to the curve at that point. (The tangent tells you the direction that the curve is pointed. This direction, of course, keeps changing.)

So we have y = f(x) = x^2, and we have your formula [f(x+h) - f(x)] / h.

[f(x+h) - f(x)] / h = [(x+h)^2 - x^2] / h = [(x^2 + 2hx + h^2) - x^2] / h = (2hx + h^2) / h = 2x + h

h is a very small number -- something like h = 0.0000000001. It's so small that you can let it go to zero without losing much, something like this, at x=2 from above:

[f(x+h) - f(x)] / h = 2x + h = 2 • 2 + 0.0000000001 = 4.0000000001 ==> 4

What you've shown is that the slope of y = x^2 at any point (x, y) is 2x. At the point (2, 4), the slope of the curve is 4.

That's elementary calculus, and it all starts with your difference quotient formula.


Does this help?
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ANEK [815]
For this problem, I believe you would just have to plug in for x.

For example, -17 divided by 10 and so on.

The answer should be C, -70. -70 divided by 10 equals -7. 
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3 years ago
Shane is using pieces of square paper to cover a cube shaped gift with sides that are 9 inches long to find out the area of the
nordsb [41]

Answer:

The area of the cube is 486 inches^2

Step-by-step explanation:

In this question, we are tasked with calculating the area of cube with side 9 inch.

Mathematically, the area can be calculated using the formula A = 6s^2

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Line A passes through the coordinate points (-2/5,0) and (0,1). Which of the following lines will line A never intersect? ​
expeople1 [14]

Answer:

Option B

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and the line is option B also has the same slope, so those two lines will never intersect each other.

Answered by GAUTHMATH

4 0
3 years ago
Please help ill give brainliest
Tcecarenko [31]
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2 years ago
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What is 238/5 ans a mixed number
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