Average Rate of Change:
</br> The slope of a secant line passing through (2,f(2)) and (2.01,f(2.01)) is 4. Determine the vertical distance between (2,f(2)) and (2.01,f(2.01)). Someone explain to me please.
Brief Calculus
Average Rate of Change:
</br> The slope of a secant line passing through (2,f(2)) and (2.01,f(2.01)) is 4. Determine the vertical distance between (2,f(2)) and (2.01,f(2.01)). Someone explain to me please.
Sounds like it's saying f(x) = sec(x). Even without knowing the function though, from the coordinates given, it's saying here's the slope or gradient between x=2 and x=2.01, so what's the change in y between x=2 and x=2.01Looks like basic arithmetic to me and doesn't even need to involve calculus
I have no idea. I just need this class for my business major and I'm done with math. What is the vertical distance? Is it .01? The chapter is applying the difference quotient of<br>
</br><br>
</br> f(b)-f(a)/b-a<br>
</br><br>
</br>But I'm still lost.
Slope is equal to rise/run. In other words, vertical distance over horizontal distance.
In other words, (y2-y1)/(x2-x1) = 4
We know the values of the two x amounts, 2.00 and 2.01.
(y2-y1)/(2.01-2.0) = 4
Simplify.
(y2-y1)/.01 = 4
.04 = y2-y1
y2-y1 is the vertical distance, therefore the vertical distance is .04. Seems like 9th grade algebra to me, unless "secant line" is some entirely other concept.
My guess is your class/book is having you solve various parts of basic Calculus problems using algebra to help move you into Calculus.
Average rate of change is a fancy way to say slope.
Calculus? This Algebra I. xD Seriously, slope? I did that two years ago, and I'm only a highschooler.
Didn't you hear about how math builds on itself?
Its called the gradient, to be precise. At least in England it is.
EDIT: Oh, and Kiribaito told you everything you need to know.
"They said this day would never come. They said our sights were set too high. They said this country was too divided, too disillusioned to ever come around a common purpose. But on this January night, at this defining moment in history, you have done what the cynics said we couldn't do." - Barack Obama.
clicky clicky clicky
Yup.Originally Posted by Vivisteiner
Guys, the book is brief calc. I label like I see it.
Also, for you math idiots out there
brief calc =/= calc
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