2. Weather Forecasts. Just how accurate are the weather forecasts we hear every day? The table below compares the daily forecast (on the left side) with a city's actual weather (along the top) for a year. Forecast Rain No Rain Actual Weather Rain No Rain 107 33 Total 140 105 12 117 Total a. On what percent of days did it actually rain? 140/257 54.5% b. On what percent of days was rain predicted? 212/257 82.5% c. What percent of the time was the forecast correct? 212 45 257

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A: Given series is

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A: See the Excel output

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A: (a) Let’s make a value of some derivatives of f.

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Q: 100 nd a number between 0 and 12 that is congruent to 2"modulo 13. Show your work.

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Q: Refer to image

A: Solution

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A: We use second order partial derivative test to find out maximum, minimum and saddle point

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A: using formula for directional derivative