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Change of base: The final topic that we have to look at in this section is the change of base formula for logarithms. The change of base formula is,
if 1/x+2, 1/x+3, 1/x+5 are in AP find x Ans 1/x+2,1/x+3, 1/x+5 are in AP find x. 1/x+3 - 1/x+2 = 1/x+5-1/x+3 => 1/x 2 +5x+6 = 2/ x 2 +8x +15 => On solving we get x
The ratio of gasoline to oil needed to run a chain-saw is 16:1. If you have 3.5 mL of oil, how many millilitres of gasoline must you add to get the proper mixture?
Using R function nlm and your code from Exercise E1.2, write an R function called pois.mix.mle to obtain MLEs of the parameters of the Poisson mixture model.
Adding Rational Expressions with Common Denominators To add or subtract fractions or rational expressions with common denominators, all you do is add or subtract the numerators
The manager of a specialty store marks up imported products 110%. If a vase imported from Italy costs him $35, what price tag will he put on the item? To ?nd out the price he s
2 times n times n divided by n
The Definition of the Limit In this section we will look at the precise, mathematical definition of three types of limits we'll be looking at the precise definition of limits
Projections The good way to understand projections is to see a couple of diagrams. Thus, given two vectors a → and b → we want to find out the projection of b → onto a → . T
Q, Did you know that you can unreduce a fraction? Ans. Remember, you reduce a fraction by dividing the numerator and denominator by the same numbers. Here we divide
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