Recent content by Inspector Gadget

Well, here's your formulas. P: 100 = 2x + y [normally, perimeter would be 2x + 2y, but because one of the sides is the lake, you don't count one of the y's] A: 500 = x*y Now, solve the first equation for y... y = 100 - 2x And substitute it into the area formula... 500 = x(100 -...

#1, your method is correct, but you made an error doing the math, as I got 3008000J. #2, if you start with a kg of ice, I think it first needs to turn to water, then raise 100 degrees. Also, your final units for the velocity will be m/s.

For test AB, Form A, my answers... 1. a.) 2474 cars (integral of F(t) from 0 to 30) b.) Traffic flow is decreasing because F'(7) -1.873 < 0 c.) 81.899 cars/minute (1/(15-10) * integral of F(t) from 10 to 15) d.) 1.518 cars/minute^2 ((F(15)-F(10))/(15-10)) 2. a.) 1.133 (integral of...

Has anyone worked out the answers to the AP Calc. AB free response problems yet? I'm trying to gauge how I did, but I don't know if what I'm doing is correct or not (obviously, or I wouldn't be asking for others' answers). They can be found at...

There is a method to creating magic squares which could allow you to check them faster. This only works if n is odd in an n X n square. This should also give you a better idea of what a magic square is, too. First, start at one and place the number in the middle column (for example, if...

position = s(t) = 2 + 24t - 4.9t^2 velocity = v(t) = s'(t) = 24 - 9.8t The maximum height will be reached when velocity equals 0 (because once the rock's velocity reaches 0, it will be come negative and start falling downward. 24 - 9.8t = 0 9.8t = 24 t = 2.45 So, to answer the...

Did you come up with the equation on your own? Because I would think that, with length and width being x and y being height, the surface area would be 7200 = 4xy + 2x^2. Anyway, with what you gave, I found the max. volume to be something else... Volume: V = x^2 * y Surface Area: 7200 =...

(x^-2)/-2 = -1/(2x^2)

Or, you can do it this way... 4x + 3y = 13 5x + y - 8 = 0, which is the same as: y = -5x + 8 Then, substitute y= - 5x + 8 into the first equation... 4x + 3(-5x + 8) = 13 4x - 15x + 24 = 13 -11x = -11 x = 1 Then, put it back into the original equation... y = -5x + 8 y = -5(1) +...

4x + 3y = 13 5x + y = 8 Multiply the 2nd equation by -3...this is done in preparation for the next step, you multiply by a number to get one of the variables to cancel each other out... 4x + 3y = 13 -15x + -3y = -24 Now, you can add the two rows together... -11x + 0y = -11 x = 1...

What this is basically is polar coordinates. We solve for y, and get y = sqrt(3) - 1. It's easier to do if the graph intersects the origin. Because this is just a straight line, the -1 can be removed from the equation and it won't change the angle to the x-axis. So, our equation is... y...

Forgot... A.) -1.819 B.) -0.843 C.) -0.819 D.) 0.157 E.) 1.157 Answer: E

This is on the sample multiple choice questions in the section in which calculators are permitted. I tried it on my TI-89, and it didn't give an answer...just returned what was input with the integral sign and such... Given that... f'(x) = sin(\frac{\pi \times e^x}{2}) ... and f(0) =...

s(t) = position s'(t) = v(t) = velocity s''(t) = v'(t) = a(t) = acceleration (EDIT: Sorry...See below...I made a mistake).

Where can you download an offline program to make the equations? It'd be a huge help, as I help people quite frequently on AIM, and my current method of trying to draw various symbols or fractions in paint aren't too useful.