# Search results

• Users: faust9
• In Calculus
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1. ### What's the purpose of Taylor Polynomials?

Your calculator uses taylor series to approximate the values of various functions such as sin and cos. It would be impractical to store a bevy look-up tables in ROM(sin, cos, e, etc). Instead of wasting ROM with tables, a series approximation is used instead.
2. ### Directiontal derivative

Yeah your correct... The question is poorly written (or at least poorly formated). Thanks for showing me my stupid mistake.
3. ### Directiontal derivative

OK, I having a small problem understanding how my textbook came about an answer to an example problem. f(x,y)=4-x^2-\frac{1}{4}y^2 at P(1,2) This next step is the one that's bugging me: u^\rightarrow=\cos(\frac{\pi}{3})\imath+\sin(\frac{\pi}{3})\jmath This is one of those instances...
4. ### Should be easy but its been a while

Thanks for the help. Maybe I'll just change my entire approach and look for the dot and cross products of the force vector and the vector A to (8,2).
5. ### Should be easy but its been a while

I looked at it almost immediatly after you posted it I guess.
6. ### Should be easy but its been a while

matt, you edited your post... 166 comes from 90+76, but How do I get the second solution from the original equation, or the derivative for that matter. If I use the more elegant approach of \tan\theta=4 thus \theta=\arctan 4 I still get approx 76 degrees.
7. ### Should be easy but its been a while

I ignored the (-) sqrt because that would have produced -76 degrees which is outside the allowed range of 0 to 180 degrees. Also, 76 is the max because it is greater than both the right and left bounds. If 76 degrees had yielded a value less than or equal to the right or left bound I would have...
8. ### Should be easy but its been a while

My fault, typo. I'll fix that right now.
9. ### Should be easy but its been a while

no, the derivative of 80 cos(t) is -80 sin(t). I'm confident in my solutions, I'm unsure about symbolically proving that a given angle corresponds to a minimum force at 'A'.
10. ### Should be easy but its been a while

Given: A force of 40 N is acting on the end of a 'L' shaped beam at angle \theta--beam is attached to a wall at point 'A' and projects straight out and turns up at the very end--that is 8m long and 2m high, find the angle \theta corresponding to the min and max moment at point 'A'. Given...
11. ### What is the half-life of radon-222?

You have a fundamential misunderstanding of \lambda. Half-life is the time required for 1/2 of a sample to decay thus forming another product. If 1/2 of a sample decays in x days, the other half still remains... That other half would then undergo a decay for x days leaving 1/2 of the sample (1/4...
12. ### Easy L'Hopitals question

That's what I thought too, but the question was worded as I stated it... Anyway, thanks for the input.
13. ### Easy L'Hopitals question

Howdy, I'm stumped by a seemingly easy L'Hopitals limit question. \lim_{t\rightarrow 0}\ \frac{\ln t}{t^2-1} I said the limit doesn't exist, but the asker claims it does. I tried various transformations so that I could use L'Hopitals theorm but with no success. I keep getting \frac{-...