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6PR = 120 find r i know its 3.. but i duno how to get it mathematically thx

hi could some1 tell me how to do this "how many even numbers of 4 digits can be formed with the figures 3,4,7,8" if repetitions ARE allowed i dont know how to answer perm questions in general if they say repetitions are allowed =( thx guys an explanation of ur working will b helpful too!

Can some1 show the conversions to show that binding energy = 931.5 * [mass defect in u] i know binding energy is calculated in MeV and that E=mc² calculates energy in joules hwoever wen i try to convert it... i dont get 931.5 >.<

how do you sketch Re(z) = iz ? i let z = x + iy then i get some crap thing =\

A particle is projected to just clear two walls of height 7 m and distance 7m and 15m from the point of projection Prove that if @ is the angle of projection, then tan@ = 3/2 ok i think the question is wrong.. or worded really badly i get tan@ = 1/2 o.o ... and i need help with this...

hey ive realised there arent as many full fee courses on the pdf provided by the uac are there any full fee places offered for actuarial studies at mac ><" thx

"The volume (V) and the surface area (S) of a sphere of radius r are given by V = (4/3)pir^3 and S = 4pir^2 respectively a) Show that dV/dr = S and dV/dt=s (dr/dt) [DONE] b) A spherical ball, of radius 24mm, is immersed in an acid bath and its volume decreases at a rate equal to three...

bleh someone help me =( 1. A 4m long ladder is leaning against a wall. Its base is slipping away from the wall at a constant rate of 2m/s. At what rate, to 2 decimal places, will the top of the ladder by slipping down the wall when the base is 1m out from the wall? 2. An observer sees a...

Givn a>1, sketch the curve y=lnx, 1<= x <=a and find the area enclosed by the curve and the lines y = 0, x = a The region enclosed by the curve and the lines x = 0, y = lna and y=0 is rotated about the Y axis to form a solid of revolution. Find its volume can some1 write the answer out in...

hi can some1 answer this for me "The rectangle PQRS has two vertices on the X axis and two on the curve y=e^-x². Find (a) the value of x for which the rectangle has a maximum area and (b) the maximum area of the rectangle" the diagram is below thx! =]

can some1 help me sketch the graph y=(x²+1)/(e^x)? i keep getting it wrong... the answers say there is two inflexions but i only get one inflexion pt at (1,2/e) thxthxs

arghh im having trouble with 3 of these fitzpatrick questions here goes : 1. Show that the cubic equation 8x³ -6x + 1 = 0 can be reduced to the form cos3@ = -1/2 by substituting x = cos@ Deduce that cos2pi/9 + cos4pi/9 = cospi/9 2. If tan(@), tan(#), tan(%) are roots the...

hey ive done polynomial questions with roots where they are in arithmetic progression and geometric progression i was wondering if anyone has questions involving limiting sums (if they can be applied to roots in polynomials?)... i have a big test coming up ... and ive literally done every...

im struggling with the imaginative joureny concept and how it relates to the tempest and journey to the interior just wondering if u guys had any notes / material which could help me ... thx! :)

hi im finding trouble with the following q's 1. Two points - P,Q represent the complex numbers z, 2z+3+i respectively. If P moves on the circle |z|=k, how does Q move? 2. Find locus of z if |z+3i|^2 + |z-3i|^2 = 90 [is there a quick way?] 3. If z(w+1) = w-1, show that as Z describes the...

ok basically this is coming out of "part" of a question how does [ 1+tan(x/2) ] / [ 1 - tan(x/2) ] = secx + tanx in simplest form i would have thought it would be tan[pi/4 + x/2] anywayz some1 help me get secx + tanx ?

how can we tell if an acid or base is a strong one? so far i have only known the strengths by general knowledge (hcl stong acid.. NaOH strong base...)

hi guys some1 help me out here 1) (tan2x-tanx) / (tan2x+cotx) = tan^2(x) 2) (1-tanxtan2x) / (1+tanxtan2x) = 4cos^2x-3 how to prove lhs = rhs here? thx !!

argh im so confused with this stuff!! can some1 tell me the equation for the ionisation of citric acid in water?! thxthx :)

ok heres a small question A 5cm square vertical loop with 50 turns of wire is in a magnetic field or intensity 0.2 T such that the plane of the coil is at right angles to the field. The loop carries a current of 4.0 A. Calculate the force acting on each side of the coil ok the...