Answer:

Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
Since RT bisects QRS
1/2 QRS = TRS
1/2 ( 9x+214) = -9x+53
Multiply each side by 2
9x +214 = -18x+ 106
Add 18x from each side
9x +214+18x = 106
27x +214 = 106
Subtract 214 from each side
27x = 106-214
27x =-108
Divide by 27
27x/27 = -108/27
x = -4
TRS = -9x+53
=-9 *-4 +53
= 36+ 53
=89
9 sq. in because each side is 3 inch and area is length x width. each side is e inch so 3x3=9 sq in.
The point of inflection is calculated by equating the second derivative to zero and determining x from there.
f"(x) = -x²2xsinx² + cosx²(2x) = 0
2xcosx² - 2x³sinx² = 0
2x (cosx² - xsinx²) = 0
2x = 0 ⇒ x = 0
cosx² - xsinx² = 0 ⇒ x = 3.82 (if you use shift+solve in your scientific calculator)
Thus, the function only has 1 point of inflection and it is at x = 0.