Solving Calculus Problems: Asymptotes, Normal Lines, and Average Rate of Change

[jai6638]

How would you find the complex zeros or radical in this case ( if there were not integer roots ) ? would i have more information if i had to find only complex zeroes?

Also, there was a questoin in a sample test where it said " Explain how you would find non-real roots in an equation using your calculuator".. Would I use the table and find it since the graph won't display complex roots?

 

[TD]

I'm no specialist with (graphical) calculators but finding roots (whether real or complex) is always possible using formula until the degree of 4.

Well-known is the one for quadratic equations, using $$\frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}$$ where you get complex solutions if ${b^2 - 4ac}$ is negative.

 

[jai6638]

Find two triangles for which A=36 degrees , a= 16 and C=17

So do I first find all the angles and sides for the first triangle? What do I do next? Divide the triangle into two and then find the 2 angles of the divided triangle?

 

[TD]

Did you mean C = 17° the angle or c = 17 the side?

 

[jai6638]

i think c is the side.

 

[TD]

If you know A, a and c, you can use the law of sines:

$$\frac{{\sin A}}{a} = \frac{{\sin B}}{b} = \frac{{\sin C}}{c}$$