You are given the polar curve r=eθ. (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 r and limit yourself to 1≤r≤1000 ( note the restriction on r!) and 0≤θ<2π. If two or more points share the same value of r, list those starting with the smallest value of θ. If any blanks are unused,

θ      

r   10.551  244.151

Step-by-step explanation:

The maximum value for is:

The formula for the slope of the tangent line in polar coordinates is:

Horizontal tangent lines have a slope of zero. So, the following relation must be satisfied:

, for all .

The maximum value of i is:

().

Then, values are listed below:

θ      

r   10.551  244.151

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents

y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3   (change the inequality sign when multiplying or dividing by a negative number)

y < -3