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Mathematics 22 Online
OpenStudy (anonymous):

help with calculus please!! i dont understand the sin/cos in this problem

OpenStudy (kc_kennylau):

"estimate"... Do you have the value of delta given?

OpenStudy (kc_kennylau):

\[f'(x)\approx\frac{\Delta f(x)}{\Delta x}\]

OpenStudy (anonymous):

no it just gives me that question

OpenStudy (anonymous):

so its sinx/x?

OpenStudy (anonymous):

@kc_kennylau

OpenStudy (anonymous):

sinx becomes cos x right?

OpenStudy (kc_kennylau):

But it says estimate...

OpenStudy (kc_kennylau):

If you do cos(0) it's not estimate, it's calculate

OpenStudy (kc_kennylau):

Let's set \(\Delta\) to be 0.01 lol

OpenStudy (anonymous):

oh it then says to estimate the answer to 4 decimal places?

OpenStudy (anonymous):

maybe thats why?

OpenStudy (kc_kennylau):

The answer is 1 if you calculate it, no need to estimate to 4 decimal places

OpenStudy (anonymous):

i put 1 but it says its wrong

OpenStudy (anonymous):

oh it says with x in degrees so i turn 1 to degrees?

OpenStudy (anonymous):

57.3 ?

OpenStudy (kc_kennylau):

Then let's set \(\Delta x\) to be 0.01 :)

OpenStudy (kc_kennylau):

\[\Large f'(x)\approx\frac{f(x+\Delta x)-f(x)}{\Delta x}\]

OpenStudy (anonymous):

hmm so f(sin+0.01)-f(sin)/0.01?

OpenStudy (anonymous):

sin(0)*

OpenStudy (kc_kennylau):

...

OpenStudy (kc_kennylau):

f(x) is sin(x) :/

OpenStudy (anonymous):

oh! yeah

OpenStudy (anonymous):

that still gives me 1

OpenStudy (kc_kennylau):

Then let's set \(\Delta x\) to be 0.1 then

OpenStudy (anonymous):

still 1 D:

OpenStudy (kc_kennylau):

Did the questions before state the value of \(\Delta x\)?

OpenStudy (anonymous):

no it just says "Estimate f′(0) if f(x)=sinx, with x in degrees."

OpenStudy (kc_kennylau):

Interesting...

OpenStudy (anonymous):

here is a picture of it

OpenStudy (kc_kennylau):

If \(\Delta x\) is 0.1, you should get 0.9983

OpenStudy (anonymous):

it says its wrong too

OpenStudy (anonymous):

:(

OpenStudy (kc_kennylau):

The question is flawed lol

OpenStudy (anonymous):

ahh okay then thank you :) ill let my professor know!

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