I have doubt in many questions

ct that an element of a set cant never be a subset of itself

certain objects. So in this case, I derived a log spiral equation in polar coordinates to model an spiral galaxy. I plan on finding the area as well as volume of the galaxy using the function which I have derived. So is there any way, I could integrate these spiral functions to find area?

itude of vector. Parallelogram law

ow much time will they take to go 85KM.

eve that I can be helped.

attached. thank you

onfident in doing word problems. Am not sure how to start the problem.

on descend 'n' stairs. if he can descend descend 1 step at a time, or 2 steps at a time, or 3 steps at a time at his will. Provided he can descend 3 stairs only once in the entire descend.

uestion is how to find equation of a plan passing through A point (1,1,1) and containinig the line r=(-3i+j+5k)+α(3i-j-5k) . Please help me

working on it since Friday) As it is reading break I doubt that I can cnotact my teacher before it is due. The question is as following: A light shines from the top of a pole that is 20 meters high. A ball is falling 10 meters away from the pole, casting a shadow on a building that is 30 meters away. When the ball is 25 meters from the ground it is falling at a speed of 6 meters per second. How fast is the shadow moving? side note: from left to right it goes lamp, falling ball, wall with shadow.

in time in 1D motion.

is the circle z=e^i theta, in the positive sense.

circle z=e^i theta, in the positive sense.

tep of equation proof