# Search results

1. ### Maximum - Can this be solved algebraically?

I found out today that we were supposed to use Newtons Method with a scientific calculator
2. ### Maximum - Can this be solved algebraically?

Homework Statement Find the absolute extrema of f(x) = e^-x * ln(lnx) The Attempt at a Solution Ive successfully taken the first derivative and set it to zero. The problem is checking the sign of 1/(xlnx) - ln(lnx) No matter how I try to manipulate this, I cant seem to isolate x. Its...
3. ### Applied Optimization Suggestions

Thats a good one (with nice geometer's sketchpad potential), but someone else is already doing it. So far, Ive found this: Two poles, one 6 meters tall and one 15 meters tall, are 20 meters apart. A length of wire is attached to the top of each pole and it is also staked to the ground...
4. ### Applied Optimization Suggestions

That is more of a related rates question. I could solve for the minimum/maximm speed of the shadow, but weve dealt with that basic setup already
5. ### Applied Optimization Suggestions

For a calc project, I am supposed to solve an interesting calculus word problem dealing with maximum and minimum values. The catch is that I cannot use my own book. Can anyone suggest a challenging optimization problem? So far, weve covered the problem with a person who must find the least time...
6. ### Rope integral

Homework Statement A freight elevator weighing 3000 pounds is supported by a 12 foot long cable that weighs 14 pounds per linear foot. Approximate the work required to lift the elevator 9 feet by winding the cable onto a winch Homework Equations W = int(f)dy The Attempt at a Solution The...
7. ### Speed of moving particle

No, the negative is correct. In a related rates problem, negatives are very important. If dD/dt wound up negative, the distance would be decreasing The only thing I can think of is that your book may want the magnitude of the particle's velocity. dx/dt is the horizontal component and dy/dt is...
8. ### Simplifying a differentiation problem

So this is at the end of the problem? Distribute the division: (a+b)/c = a/c + b/c Remember that sqrt(x) = x^1/2
9. ### Derivative of e^(x) evaluated at e

What's the definition of a derivative and whats special about e?
10. ### Simple limit problem (Which way is the best to solve?)

Heres an example of a formal, delta-M definition of limits involving infinity http://img513.imageshack.us/img513/7637/limitts5.png [Broken]
11. ### Proving a limit

The trick is to pick a temporary delta neighborhood (remember your temporary delta) and bound your function. Bound the numerator and denominator separately, remembering the archemidian principle for the denominator. Youll come up delta being less than epsilon times a coefficient as usual. But...
12. ### Heeelp with this antiderivative (silly question prob.)

Is the derivative of sin(4x) equal to cos(4x)? The chain rule has an integration counterpart
13. ### How do I find the equidistant point?

Any point on the line has coordinates (x,3x+1). Set the distance from that to (0,0) equal to the distance from that to (-3,4)
14. ### Another Related Rates

Not so fast, check dx/dh at h=46 again. You squared twice, leaving an extra 16
15. ### Parametric Particle

Nevermind, I got it. This thread can be deleted
16. ### Parametric Particle

Homework Statement Consider a particle along a curve C and whose position is given by the vector: s(t) = < sqrt(t2), t3 - 3t > Last part of the question: There is an unknown force that is keeping this particle on trajectory C. At what value of t must the force cease in order for the...
17. ### Home school Calculas( high school level)

For #4, the derivative is a quadratic. There are 2 places where the tan line has a slope of 5. Find the points where it equals 5 (or where that minus 5 equals zero) and then you have 2 points and 2 slopes
18. ### Trig Limit

Thanks for the explainations. Im not afraid of LHospitals rule, but we just finished trig limits and are just starting derivatives. Needless to say, we havent gone over it formally in class. The problem was given in a section of the book before LHospitals rule, so I wanted to know how it could...
19. ### Trig Limit

Im not up to it yet, is there any way without derivatives?
20. ### Trig Limit

Homework Statement Im not good with latex, but Im having trouble with the limit as x approaches -1 of [sin(x2+3x+2)]/(x3+1) The Attempt at a Solution Ive tried substituting u = x2+3x+2 but I keep getting -1/4 instead of the correct limit 1/3 by long division, x3+1 = (x2+3x+2)(x-3) +...
21. ### Intersections of two graphs (polar coordinates)

Thats how you derive the alternate double angle identities, which are meant for a problem like this because they put cos2x in terms of one function
22. ### Find the determinant of a matrix

According to my TI-83, thats it