#45 how many solutions exist for the equation (cos^2x//5)=0

check the picture below.

notice, you're asked to use a graphing calculator to get them.

45. A graphing calculator shows there to be 3 solutions. (There is no algebraic way to find them.)

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Rewriting the equation to

... f(x) = cos(x)² -x/5

We note sign changes in this function between 0 and π/2, between π/2 and π, and between π and 3π/2. Outside the range 0 to 3π/2, there are no more sign changes, hence no more solutions.

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.