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Example of vector, Provide the vector for each of the following. (a) The...

Provide the vector for each of the following. (a) The vector from (2, -7, 0) -  (1, - 3, - 5 ) (b) The vector from (1,-3,-5) - (2, - 7, 0) (c) The position vector for ( -

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Two tanks initially contain 100 liter liquid each. Their initial concentration are listed in the Figure below. At time zero, the input and output valves are opened simultaneously w

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How long does it take for an amount of money P to double itself if it is invested at 8% interest compounded 4 times a year?

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Value Of The Game The game value refers to the average pay off per play of the game over an extended period of time

Linear approximations, Linear Approximations In this section we will l...

Linear Approximations In this section we will look at an application not of derivatives but of the tangent line to a function. Certainly, to get the tangent line we do have to

Level curves or contour curves - three dimensional space, Level Curves or C...

Level Curves or Contour Curves Another topic that we should look at is that of level curves or also known as contour curves. The level curves of the function z = f (x, y) are t

Loan amortisation problem, On 30 June 2012 Bill purchase a home by taking o...

On 30 June 2012 Bill purchase a home by taking out a 30 year mortgage of $600,000 at 6% interest per annum, compounded months. Repayments are made at the end of each month. (a) Cal

Velocity of a skydiver (calculus), using v=g/k(1-e^-kt) find the velocity o...

using v=g/k(1-e^-kt) find the velocity of the skydiver when k is 0.015

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