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brilliants [131]
3 years ago
7

Trudy is making punch for a party. She plans to use 4 cans of frozen lemonade, 2 baskets of strawberries, and 1 can of frozen or

ange juice. What is the ratio of lemonade to orange juice?
Mathematics
1 answer:
Veronika [31]3 years ago
5 0
The ratio is 4 to 1. This is because there are 4 cans of lemon juice and 1 can of frozen orange juice
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(c) The function h(x₁, x₂) computes iterations using the secant method. The results for three iterations of that method are shown below the table in the attachment. The result of the 3rd iteration is ...

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<em>Comment on these methods</em>

Newton's method can have convergence problems if the starting point is not sufficiently close to the root. A graphing calculator that gives a 3-digit approximation (or better) can help avoid this issue. For the calculator used here, the output of "g(x)" is computed even as the input is typed, so one can simply copy the function output to the input to get a 12-significant digit approximation of the root as fast as you can type it.

The "modified" secant method is a variation of the secant method that does not require two values of the function to start with. Instead, it uses a value of x that is "close" to the one given. For our purpose here, we can use the same h(x1, x2) for both methods, with a different x2 for the modified method.

We have defined h(x1, x2) = x1 - f(x1)(f(x1)-f(x2))/(x1 -x2).

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