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When Hamlet says that he will "put an antic disposition on" (Act 1, Scene V, 189), he positions himself as being a sane man playing the part of an insane man in order to confuse and deceive his ...
Note: time, t, is measured in minutes, and height, h, is measured in metres.
Let k>0, a constant.
The differential equation to be solved is given by: dh/dt = - k(h)^0.5.
Us...
dy/dx = dy/dt *dt/dx (chain rule).
x=4tan(t) hence dx/dt = 4 sec2(t)
y = 531/2sin(2t) hence y'= 1031/2 cos(2t)
therefore dy/dx = 103...
a) Need to multiply with conjugate to bring z to form a+ib. => z= z * (1-i)/(1-i) = (4-4i) / 2 = 2-2i
b) z^2 = (2-2i)^2 = 4-8i+4 i^2 = 4-8i-4 = 8i
since z is root of x^2+px+q=0 then z* (c...
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