Recent content by momogiri

Ah! Yes! It helps very much! Thank you! And sorry for the misplaced topic >__<;;

[SOLVED] Integral of {sqrt(4-x^2)} from 0 to 2? Can someone please explain step by step for this? I know the answer is pi, I just don't understand the steps towards solving it First, I'm supposed to set x = 2sin(u) so then u = arcsin(x/2) then somehow, {sqrt(4-x^2)} = 2cos(u) How'd that...

Question f'(x) = 1.4x*cos(x^1.9) Find f(x) Attempt Ok, first of all, I'm really bad at Calculus, so bear with me >__< I figured to find the antiderivative of the thing is equivalent to \int\left1.4x*cos\leftx^{1.9}\right\right)dx I've tried simple substitution (u = x^1.9) and that...

Wow, thanks Sinan! That really helps! For future reference, the answer was 2.49m/s^2

Question Astronauts visiting Planet X have a 2.50m-long string whose mass is 4.60g. They tie the string to a support, stretch it horizontally over a pulley 1.50m away, and hang a 1.70kg mass on the free end. Then the astronauts begin to excite standing waves on the string. Their data show that...

I need help with this question too :/

Oh gosh, I can't believe I didn't see that XD I'm pretty sure I can do it, Thanks for the help :D

So the function is f(x) = 2 + 3x^{2} - x^{4} Find the intervals of increase + decrease, local max + min value, inflection points (IP), interval the function is concave up + down I know that I need to first find f'(x) to find the increase and decrease, so I solved that: f'(x) = 6x -...

Ohh ok, so by using \sqrt{\frac{T_{N}}{\mu}}, I can find it :D Thanks for your help

Problem The figure shows two masses hanging from a steel wire. The mass of the wire is 60.0 g. A wave pulse travels along the wire from point 1 to point 2 in 24.0 ms. Attempt None yet, I don't really know how to tackle this :/

How do you find t in this question?

Ok, so I tried to do it with similar triangles.. With my image that I attached earlier, I had the similar trigangles y/6 and (x+y)/15 (y being the distance of the shadow and the man x being distance from man and pole) So \frac{y}{6} = \frac{x+y}{15} and I solved for x 15y = 6x+6y...

Yeah, I drew up my triangle within a triangle, it's attached, so.. The change in speed of the shadow is not the same as the speed of the man, right? And 40 ft refers to the distance between the pole and the man right? Not between the shadow tip and the pole?

Question A street light is mounted at the top of a 15 foot tall pole. A man 6 ft tall walks away from the pole with a speed of 6 ft/s along a straight path. How fast is the tip of his shadow moving when he is 40 ft from the pole? Attempt Well actually, I've drawn it out and stuff, but I was...

Ok, so the actual problem is: An upright cylindrical tank with radius 6 m is being filled with water at a rate of 4 m3/min. How fast is the height of the water increasing? So I wanted to take the d/dt of the equation V = (pi)hr^2, since I figured that's what the prof said, and now.. I'm just...