## iop360 find the x-coordinate of all points on the curve y=36xsin(17x) + 306sqrt3(x^2) -33 domain pi/34 < x < 3pi/34 where the tangent line passes through the point (0, -33)(not on the curve) one year ago one year ago

1. iop360

$y = 36xsin(17x) + 306\sqrt{3}x^2 -33$

2. iop360

answers are x1 = 5Pi/102 and x2 = 7Pi/102 i need to know to do get it though

3. Algebraic!

(f(x) - -33) / x-0 = f'(x)

4. Algebraic!

plug stuff in, solve for x

5. iop360

what does that equation say?

6. iop360

is that slope equation?

7. Algebraic!

rise/run =slope yf-yo / xf-xo = slope of the tangent at (xf,yf)

8. iop360

how do i use this to get the x coordinates

9. Algebraic!

what's f(x)? plug it in. what's f '(x)? plug it in.

10. iop360

oh ok thanks

11. Algebraic!

sure!