22 a. Find the local extrema of the function f(x) cos 2x 3 sin 2x on the interval 0sxsT, and say where they occur b. Graph the function and its derivative together. Comment on the behavior of f in relation to the signs and values of f' a. Find each local maxima, if there are any. Select the correct choice below and fill in any answer boxes within your choice. (Simplify your answers. Type exact answers, using t as needed. Use integers or fractions for any numbers in the expression.) O A. The function has a local maximum at one value of x. The maximum value is f( O B. The function has a local maximum value at two values of x. In increasing order of x-value, the maximum values are f( and f( and f O C. The function has a local maximum value at three values of x. In increasing order of x-value, the maximum values are f O D. There are no local maxima Find each local minima, if there are any. Select the correct choice below and fill in any answer boxes within your choice (Simplify your answers. Type exact answers, using as needed. Use integers or fractions for any numbers in the expression.) O A. The function has a local minimum at one value of x. The minimum value is f O B. The function has a local minimum value at three values of x. In increasing order of x-value, the minimum values are f( and f O C. The function has a local minimum value at two values of x. In increasing order of x-value, the minimum values are f and f( O D. There are no local minima. b. Graph the function and its derivative together. Choose the correct graph below. O C. O A. O D ОВ. Comment on the behavior of f in relation to the signs and values of f Moving across the interval from left to right, f'changes from positive to negative at x f changes from negative to positive at x so f has a local (2) so f has a local () at x at x= (2) O maximum O minimum (1) O minimum O maximum

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.