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help.. using slice fin the volume of the solid obtained by rotating the region {(x, y) : 0 <= x <=sqrt 6, 0 <= y <= 6x² - x⁴ about the y axis. =) thanks

6. A vessel is being filled at a variable rate and the volume of liquid in the vessal at any time t is given by V = A (1 - e^-kt) a) show that dV/dt = k(A - V).........done already b) if one quarter of the vessel is filled in 5 minutes, what fraction is filled in the next 5...

help.. i cant do some questions in fitzpatrick 3u change of rates Ex 25 a) 23. A metal sphere is dissolving in acid. It remains spherical and the rate at which its volume decreases is proportional to its surface area. Show that the radius of the sphere decreases at a constant rate...

hey.. i have a feeling that our school is heaps behind than everyone else... wat topics r pplz up to in ext I and II?? for us we've done like: complex no. conics and polynomials

help..i ve been asked.. whats the diff between back emf and eddy currents and are they both produced in motors?

I need help wif the following conics questions: 1) The point P (a sec#, b tan#) lies one the hyperbola (x^2/a^2) - (y^2/b^2) = 1. Let d1 and d2 be the distances from P to each of the hyperbola's asymptotes. Show d1.d2 = (a^2.b^2)/(a^2 + b^2) 2) The points A (a, 0), A' (-a, 0) and P...

I need help...for polynomials from Fitzpatrick Ex 27 d Q 25 Show that the cubic equation 8x^3 - 6x +1 =0 can be reduced to the form cos 3theta = -1/2 by substituting x = cos theta. Deduce that: a) cos 2pi/9 + cos 4pi/9 = cos pi/9 b) sec 2pi/9 + sec 4pi/9 = 6 + sec pi/9 c)...

Hey i dunno how to do this question from 3u Fitzpatrick, its a permutation question.. Q.29 In how many ways can 4 people be accommodated if there are 4 rooms available? i dun understand permutations at all :( thanks