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anonymous
 5 years ago
http://edugen.wiley.com/edugen/courses/crs4196/art/qb/qu/ch0/EAT_1227298660014_0_33367326491234830.gif
Thats the graph of f' and assume f is continuous and f(0)=0
Find f(3)
anonymous
 5 years ago
http://edugen.wiley.com/edugen/courses/crs4196/art/qb/qu/ch0/EAT_1227298660014_0_33367326491234830.gif Thats the graph of f' and assume f is continuous and f(0)=0 Find f(3)

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Well, what does the value of f' tell you about f?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Sweethert, keep it in chat please. this is for mmonish's question.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Yes, but what does the derivative tell you? What does it mean to be the derivative?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0What is the derivative of the function f(x) = 5x + 3?

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0I can't see your graph

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Right. The derivative is the slope of the curve at any given x value.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So, if the derivative is a constant, what does that mean about the curve of the original function?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0@myinninaya: i don't know y @polpak: the slope is ?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0The slope is a constant.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0What does the graph of f(x) = 5x+3 look like?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Right, and you can see that if you take the derivative of a line you will get a constant value for the slope. \(y = mx + b \implies y' = m\)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So look at the graph of f'. What is f' from x=0 to x=2?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0straight line...so slope is 0

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0so you see a horizontal line?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0No, the value of f' over that interval is constantly 1. f' = 1 on the interval from 0 to 2.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Which means that f must have a constant slope of 1 over that interval.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So if f(0) = 0, what will f(2) be?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0No. Imagine a line with a slope of 1, that goes through the origin.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Where will that line cross the x=2 line?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Each time x increases by 1, the function increases by 1. That's what it means to have a slope of 1. \(\frac{\text{change in f(x)}}{\text{change in x}}\)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0As much as x changes, the function changes.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So if f(0) = 0, f(2) = ?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\(\frac{\Delta f}{\Delta x} = 1.\) \(\Delta x = 2 \implies \Delta f =?\)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0How much did x change from 0 to 2?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0The function must also have changed by the same amount if the ratio equals 1

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So how much does the function change over that same interval?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So now we know f(2). What do we know about the slope over the interval from x=2 to x=3?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Negative what specifically?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0We have a graph of f'. The value of f' is the slope of f.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0What is the value of f' from x=2 to x=3?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0What is the slope of f from x=2 to x = 3?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0It's not a trick question =)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0The value of f' is the slope of f.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So if the slope of f is 1 from 2 to 3. And the \(\frac{\text{Change of f}}{\text{Change of x}}\) = Slope = 1, What is the change in x? What is the change in f?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Right. So \[\frac{\text{Change in f}}{\text{Change in x}} = 1\] \[\frac{\text{Change in f}}{1} = 1\] Change in f =?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Right. So f(2) = 2, and from 2 to 3, the slope of f is 1, then the value of f will change by 1, what is f(3)?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Is any of this making sense?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0No f changes by 1. It goes down 1.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0f goes down 1 every time x goes up 1. That's what it means to have a 1 slope. Just like having a slope of 1 means that f goes up 1 each time x goes up 1.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So if f(2) = 2, and x goes up 1, what will f do?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Your answers are all over the place. I'm not sure what is confusing you about what I'm asking, but clearly something is out of sync. Do you understand what I'm saying about slope?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0If I have a line g(x) = x. What is the slope?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Ok, and what is g(2) and g(4) and g(5)?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Ok. And on the interval from x=2 to x=4, how much does x increase?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0And g(x) over that interval increases how much?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Change in g = g(4)g(2)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0just like change in x was 42

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So as x increases by 1 , g increases by 1. That is what it means to have a slope of 1.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0If we have h(x) = 2x, What is the slope?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i hope you know that this is an antiderivative problem

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0But there are some small holes in your understanding that make solving these very easy. If I fill the holes you can answer all these in less than a minute.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0What is the slope of h?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So what is h(2), h(4), and h(5)?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So each time x increases by 1, h increases by how much?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0And what is the derivative of h?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So if I tell you that j(0) = 1, and the derivative of j (also called j') = 5, Can you tell me what j(3) =?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0(remember that the derivative is the slope)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0That would be the correct answer if j(0) = 0

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0But because j(0) = 1, we need to start at one, and add 15 because the change in x is 3 and the slope is 5.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Now. If I tell you that f(0) = 0 and the derivative ( also called slope, and f') is 1 from 0 to 2, what is f(2) again?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0And now if we know that f(2) = 2, and f' = 1 from 2 to 3, what is f(3)?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok dont help me solve this but let me know if i did it correctly

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh pellet my boss is here...ill ttyl..thanks a ton

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0lol, k. You can repost the answer here and I'll check back
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