Mathematics
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OpenStudy (anonymous):
help with calculus please!! i dont understand the sin/cos in this problem
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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
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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?
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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 ?
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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):
...
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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:
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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
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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!