tester5

If 2300 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.

(I tried doing V=x^2y and y=(2300-x^2)/4x, but I can't seem to get the right answer. Could someone tell me what I'm doing wrong?)

-Thanks a lot for any help.

1) Let f(t)=t*(the square root of 4-t) on the interval [-1,3]. Find the absolute maximum and absolute minimum of f(t) on this interval. (Am I suppose to get rid of one of the t's by subtracting it to the other side or keep both of them?)

2) Let g(x)=(4x)/(x^2+1) on the interval [-4,0]. Find the absolute maximum and absolute minimum of g(x) on this interval. (Using the product rule, I got the max at 4 and min at -60/289, both of which are wrong.)

3) Consider the function f(x) = x^4 - 32x^2 + 6, -3 is less than or equal to x is less than or equal to 9. This function has an absolute minimum value equal to ? and an absolute maximum value equal to ?. (I'm not too sure on how to start this one.)

-Thanks a lot for any help.

1) At noon, ship A is 50 nautical miles due west of ship B. Ship A is sailing west at 18 knots and ship B is sailing north at 21 knots. How fast (in knots) is the distance between the ships changing at 7 PM? (Note: 1 knot is a speed of 1 nautical mile per hour.) (I tried using the law of cosines to get the answer, but that didn't seem to work or I may have done it wrong.)

2) http://img410.imageshack.us/img410/8711/question3k...

(I've tried doing this problem many different times, but I can't seem to get the right answer. I've also tried 489/710, among other answers, all of which are wrong.)

-Thanks for any help on either of these.

1) Let f(x) = x^3x. Use logarithmic differentiation to determine the derivative. (I don't understand why you would need to use logarithmic differentiation to solve this one.)

2) If f(x) = 2 ln(2 x+ 4 ln(x)), find f'(x). (Can the product rule be applied here or not?)

3) A street light is at the top of a 14 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 5 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 40 ft from the base of the pole? (I'm not sure on how to even start this one)

-Thanks in advance for any help.

A particle moves along a straight line and its position at time t is given by s(t)= 2t^3 - 27 t^2 + 108 t where s is measured in feet and t in seconds.

Find the velocity (in ft/sec) of the particle at time t=0: I figured out that this is 108.

The particle stops moving (i.e. is in a rest) twice, once when t=A and again when t=B where A < B. I also figured out that A is 3 and B is 6.

What is the position of the particle at time 18? I'm pretty sure that this is 4860.

Finally, what is the TOTAL distance the particle travels between time 0 and time 18? This is the part that I'm stuck on because I'm not sure how to calculate total distance.

-Thanks for the help.

A particle moves along a straight line and its position at time t is given by s(t)= 2t^3 - 27 t^2 + 108 t where s is measured in feet and t in seconds.

Find the velocity (in ft/sec) of the particle at time t=0: I figured out that this is 108.

The particle stops moving (i.e. is in a rest) twice, once when t=A and again when t=B where A < B. I also figured out that A is 3 and B is 6.

What is the position of the particle at time 18? I'm pretty sure that this is 4860.

Finally, what is the TOTAL distance the particle travels between time 0 and time 18? This is the part that I'm stuck on because I'm not sure how to calculate total distance.

-Thanks for the help.

1) Suppose t is the length of arc on the unit circle whose initial point (1,0) , and terminal point is P(x,y). If t = 4.9, sketch t on the unit circle for the approximate location of P(x,y).

[If someone could just tell me which quadrant it would be in, it would help]

2) The following function with equation f(x) = 5 sin (2x-pi/6) when graphed will have the following characteristics:

a) Amplitude: 5?

b) Phase shift: pi/12?

c) Length of one period: ?

3) The following function with equation f(x) = ln (x+3) +2 has a vertical asmptote and an x-intercept.

a) Equation of vertical asymptote: x=?

b) x-intercept: (4-decimal place accuracy)

I need a more informed opinion on the two following points because I'm leaning towards both sides, and I would like to support just one.

1. The distribution of income in the United States is inequitable. [unfair]

-I believe that this is true is some areas of the US, but then again, I feel that it's also fair in other areas. So, what should my overall answer be here?

2. The distribution of the entire federal tax burden and the distribution of the burden of the federal income tax are appropriate.

- Once again, I feel that the tax burden on the rich is fair that they should pay more money because they make more money. However, there are many people who don't make as much money, but are forced to pay taxes that they cannot afford or is unfair for them.

Thanks a lot in advance for any help.

1) If cos(t) = -3/5 and cot(t) >0, t is located in which quadrant? [ Please explain how you would know this]

2) Find a reference angle for Θ (theta) = 15pi/17

3) Find the domain, equation of the vertical asymptote, and y-intercept of the function with equation f(x) = log base 5(x+2)

4) Use the laws of logarithms to rewrite the expression: ln fifth root of a^3 divided by xy^20

5) Given log base a 3 = 0.477 and log base a 2 = 0.301, find each of the following: accurate to 3 decimals.

log base a 6 = ?

log base a 1.5= ?

log base a 0.125= ?

log base a 3a = ?

Thanks a lot for any help.

1) log base 3 (x to the fourth power divided by the seventh root of y times z to the sixth power) [the log base 3 is outside the parenthesis]

2) log(x-5) = 8

Thanks in advance for any help.