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Solve equation for z, express answer in the form a+ib(z+3)/(z-1) = 2-3i... i dunno how to approach the simultaneousAlso, if we get two answers, how do we check if one is wrong?

In complex numbers there are the notations E which represent an element of. There is also C, which means contained in. What is the difference and in which cases must we use which?

Find the value of k for which the line y = kx bisects the area enclosed by the curve 4y=4x-x^2 and the x-axis. How do you do this. Towards the end i found the solution in this equation: (1-2k+k^2)(1-k) = 1/2 But i dont know how to solve this equation.

\int (\sqrt{ax}+\frac{1}{\sqrt{ax}})dx Very confused. Its a easy problem i know...

A warehouse worker applies a force of 420N to push two cractes, (A,B) across the floor as shown in the figure 10.34. The friction force opposing the motion of the crates is a constant 2.0 N for each kilogram A=30kg B=40kg >>>420N>>> AB (where AB is side by side) a)Calculate the acceleration...

The section of the curve y=4/x^(1/2) from x= 1 to x =5 is rotated about the x axis. Use simpson's rule with 4 sub-interavals to find the volume of the solid of revloution formed. (4sigs). How do we attempt at this?

Find the exact area between the curve y=-e^-x, the x axis and the lines x=1 and x=4 From integration i found A= 1/e^4 - 1/e where it will yeild a negative answer. My question is, if it asks to be expressed in "e" form, how will you now that it is infact 1/e-1/e^4.

y=2/(2x-6) Find the volume of the solid of revolution by rotating the curves around the x axis, x=5, x=6. Do not get the method of this question. Please help!

Do not know where to post this. So out there who does it? Also does anyone know the time to make it to the state cross-country level (6km, opens)? Just curious. Thanks

This question struck me as awkward; Discuss Two theories to account for the changes in biota over time. Are they talking about migration + adaption? Or else what?

Hey Guys I was just going through some questions and in the solutions i had found this; \frac{lnx}{x}\leq \frac{1}{e} lnx\leq \frac{x}{e} elnx\leq x lnx^e\leq x The problem starts here for me. e^{lnx^e}\leq e^x Thus x^e\leq e^x (note: e^lna = a) Can someone please explain the...

Im just wondering how we quote shakespeare? When we quote it, do we mention the acts and lines? Or just the acts? Or not even the acts and just do it like any book or movie. Please give me any guidance.

Why do lower molecular mass hydrocarbons produce the most energy per kilogram and fewest pollutants on combustion?

I have two questions. 1. Find the equation of the curve COD assuming it is of the form y=ax^2n. C(-60,18) O(0,0), D(40,8). 2.Line AB: 20y=x+480 Curve CD: y=x^2/200 A(-60,21) B(40,26) Find the area between the line AB and the Curve CD, between x= 40, x=-60 I got 1883 1/3 but the answer...

\int_{-8}^{8} x^(2/3) dx How is the value of -8^(5/3)/5 found?

I have been searching through the resource sections of BOS, and have found very little trail examinations for the AOS of journeys, since as i am doing the prelim course. Can someone inform me where I can get such resources (free) from?

I have recently heard a rumour that doing the STAT test and getting a extremely well mark will earn one some extra atar points. Is that true?

The Graphing of an absolute function has made me extremely curious. y= |x| + 1/x When finding the turning points, dy/dx = 0 gives x = 1 or -1 Using the second derivative, at x=1, a min t.p exist. At x=-1, a max exist. However, when graphing, and observing the graph, the max at x=-1 does...

The cost of operating a truck on a highway is made up of running costs plus the driver's wage. The running costs are (0.25 + s/250) dollars per kilometre where S is the speed of the truck in km/h and the truck dirver's wage is $45 per hour. At what speed should the driver travel to make a 750...

Find the equation of the two lines which contain the point (1,3) and are tangent to the parabola y = x^2-2x+5