7)the graph given below represents a sinusoidal function where the points a, c, and e are found on the…

7)the graph given below represents a sinusoidal function where the points a, c, and e are found on the midline. which of the following pairs of points could not be used to determine the amplitude of the graph? a. a and b b. a and d c. e and d d. c and e use the following information to answer the next question. a family is going to take a ride on the london eye, which is a ferris wheel that constantly rotates. once the family is in the capsule on the ride, the height of the capsule above the ground, y, in metres, can be modelled by the sinusoidal function y = a sin(bx + c)+d where x is the time, in seconds, after the family gets in the capsule. 8)in this context, the y - intercept represents the: a. length of time it takes for the family to reach median height of the ferris wheel b. length of time it takes for the ferris wheel to complete one revolution c. height of the family at the highest point above the ground d. height of the family at the moment they get in the capsule numerical response 5 the height of the tide, in metres, at a particular harbor can be modelled by the sinusoidal function h = 4 sin(0.51t + 1.57)+6 where t represents the number of hours after midnight on a particular day. the height of the tide was at its minimum depth for the first time on that day ____________ hours after midnight, rounded to the nearest hundredth of an hour.

7)the graph given below represents a sinusoidal function where the points a, c, and e are found on the midline. which of the following pairs of points could not be used to determine the amplitude of the graph? a. a and b b. a and d c. e and d d. c and e use the following information to answer the next question. a family is going to take a ride on the london eye, which is a ferris wheel that constantly rotates. once the family is in the capsule on the ride, the height of the capsule above the ground, y, in metres, can be modelled by the sinusoidal function y = a sin(bx + c)+d where x is the time, in seconds, after the family gets in the capsule. 8)in this context, the y - intercept represents the: a. length of time it takes for the family to reach median height of the ferris wheel b. length of time it takes for the ferris wheel to complete one revolution c. height of the family at the highest point above the ground d. height of the family at the moment they get in the capsule numerical response 5 the height of the tide, in metres, at a particular harbor can be modelled by the sinusoidal function h = 4 sin(0.51t + 1.57)+6 where t represents the number of hours after midnight on a particular day. the height of the tide was at its minimum depth for the first time on that day ____________ hours after midnight, rounded to the nearest hundredth of an hour.

Answer

7.

Explanation:

Step1: Recall amplitude concept

Amplitude is half - the vertical distance between max and min.

Step2: Analyze each option

  • Option A: A (mid - line) and B (max) can find amplitude.
  • Option B: A (mid - line) and D (min) can find amplitude.
  • Option C: E (mid - line) and D (min) can find amplitude.
  • Option D: C and E are both on mid - line, can't find amplitude.

Answer:

D. C and E

8.

Explanation:

The y - intercept is when x = 0. In the context of the Ferris - wheel function (y=a\sin(bx + c)+d), when (x = 0), it represents the height of the family at the moment they get in the capsule.

Answer:

D. height of the family at the moment they get in the capsule

Numerical Response 5

Explanation:

Step1: Recall minimum of sine function

The minimum of (y = A\sin(Bt + C)+D) occurs when (\sin(Bt + C)=- 1). For (h = 4\sin(0.51t+1.57)+6), we set (\sin(0.51t + 1.57)=-1).

Step2: Solve for t

We know that (\sin\theta=-1) when (\theta=\frac{3\pi}{2}+2k\pi,k\in\mathbb{Z}). So (0.51t+1.57=\frac{3\pi}{2}). [ \begin{align*} 0.51t&=\frac{3\pi}{2}-1.57\ 0.51t&=\frac{3\times3.14}{2}-1.57\ 0.51t& = 4.71-1.57\ 0.51t&=3.14\ t&=\frac{3.14}{0.51}\approx6.16 \end{align*} ]

Answer:

6.16