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Cylinder - three dimensional spaces, Cylinder The below equation is th...

Cylinder The below equation is the common equation of a cylinder. x 2 /a 2 + y 2 /b 2 = 1 This is known as a cylinder whose cross section is an ellipse.  If a = b we

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Evaluate the given limits, showing all working: Using first principles (i.e. the method used in Example 1, Washington 2009, Using definition to find derivative ) find the

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A police academy is training 14 new recruits. Some are working dogs and others are police officers. There are 38 legs in all. How many of each type of recruits are there?

Find the return period in years of the critical event, 1. A drainage system...

1. A drainage system overflows into a river causing pollution when the rainfall falling in an hour exceeds 50 mm. During any given year, the maximum hourly rainfall follows an expo

Lorie, A bourbon that is 51 proof is 25.5% alcohol by volume while one that...

A bourbon that is 51 proof is 25.5% alcohol by volume while one that is 82 proof is 41% alcohol. How many liters of 51 proof bourbon must be mixed with 1.0 liter of 82 proof bourbo

Maths for Social Science, A retired couple has up to $30000 to invest in fi...

A retired couple has up to $30000 to invest in fixed-income securities. Their broker recommends investing in two bonds: one a AAA bond yielding 8%; the other a B+ bond paying 12%.

Calculate the limit of f (-4), Let's take a look at one more example to ens...

Let's take a look at one more example to ensure that we've got all the ideas about limits down that we've looked at in the last couple of sections. Example: Given the below gr

Determine the largest possible domain and inverse function, Consider the fu...

Consider the function f(x) =1/2 (2 x +2 -x ) which has the graph (a) Explain why f has no inverse function. You should include an example to support your explanation

Ellipse, How we find locus of the middle points of chord of an ellipse whic...

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