You are given the polar curve r = cos(θ) + sin(θ)a) list all of the points (r,θ) where the tangent line is horizontal. in entering your answer, list the points starting with the smallest value of and limit yourself to (r > or equal to 0) and θ: [0, 2pi] if two or more points share the same value of r, list those starting with the smallest value of θ. point 1 (r,θ): ? point 2 (r,θ): ? point 3 (r,θ): ? b) repeat this with a tangent vertical line

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

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