9. which of the following would represent a periodic event?\na. a teams baseball schedule\nb. the growth…

9. which of the following would represent a periodic event?\na. a teams baseball schedule\nb. the growth pattern of a newly planted tree\nc. the height of the tides in new brunswick\nd. the direction of the winds during a large rainstorm\n10. the interval(s) of increase for the sine function in the interval from (0^{circ}) to (360^{circ}) is (are)\na. ({xinmathbb{r},180^{circ}leq xleq360^{circ}})\nc. ({xinmathbb{r},90^{circ}leq xleq270^{circ}})\nb. ({xinmathbb{r},0^{circ}leq xleq180^{circ}})\nd. ({xinmathbb{r},0^{circ}leq xleq90^{circ},270^{circ}leq xleq360^{circ}})\n11. which equation can be used to model the graph of the function shown?\na. (y = sin2x + 3)\nc. (y=sin2x - 3)\nb. (y = 2sin x+3)\nd. (y = 2sin x - 3)\nshort answer 2 marks each:\n12. a periodic function (f(x)) has a maximum value of 14 and a minimum value of 2. what is the amplitude of the function?\namplitude (=\frac{\text{maximum}-\text{minimum}}{2})\namplitude (=\frac{14 - 2}{2}) (a=\frac{12}{2}=) amplitude of the function is: 6

9. which of the following would represent a periodic event?\na. a teams baseball schedule\nb. the growth pattern of a newly planted tree\nc. the height of the tides in new brunswick\nd. the direction of the winds during a large rainstorm\n10. the interval(s) of increase for the sine function in the interval from (0^{circ}) to (360^{circ}) is (are)\na. ({xinmathbb{r},180^{circ}leq xleq360^{circ}})\nc. ({xinmathbb{r},90^{circ}leq xleq270^{circ}})\nb. ({xinmathbb{r},0^{circ}leq xleq180^{circ}})\nd. ({xinmathbb{r},0^{circ}leq xleq90^{circ},270^{circ}leq xleq360^{circ}})\n11. which equation can be used to model the graph of the function shown?\na. (y = sin2x + 3)\nc. (y=sin2x - 3)\nb. (y = 2sin x+3)\nd. (y = 2sin x - 3)\nshort answer 2 marks each:\n12. a periodic function (f(x)) has a maximum value of 14 and a minimum value of 2. what is the amplitude of the function?\namplitude (=\frac{\text{maximum}-\text{minimum}}{2})\namplitude (=\frac{14 - 2}{2}) (a=\frac{12}{2}=) amplitude of the function is: 6

Answer

Explanation:

Step1: Recall the formula for amplitude

The formula for the amplitude (A) of a periodic function is (A=\frac{\text{Maximum}-\text{Minimum}}{2}).

Step2: Substitute the given values

Given that the maximum value is (14) and the minimum value is (2). Substitute these values into the formula: (A = \frac{14 - 2}{2}).

Step3: Calculate the amplitude

First, calculate the numerator: (14-2 = 12). Then divide by (2): (\frac{12}{2}=6).

Answer:

The amplitude of the function is (6).