Problem. A child is bouncing up and down in a swimming pool. She jumps up out of the water, and then sinks back down into the water. The height of her nose above the water r seconds after she started playing is given by h(r) = 2 sin(2ax) +1. Use Desmos to sketch the graph of h from r = 0 to r = 1. Your graph should clearly show the coordinates of the maxima, minima and points where the graph crosses its midline. 2 0.25 0.5 0.75 -1 On your graph, highlight the portion of the graph that correspond to the child's nose being underwater. You may do this with a pen/pencil of a different color or by making small x's along the relevant portion of the graph. Use Desmos to calculate the amount of time that the child spent underwater from z = 0 to r =1. Round to two decimals places and include units in your answer. Set up an equation that can be used to find the x-intercepts of h. Solve your equation to find the exact values of the r-intercepts shown in the graph in #1. Your answers should be fractions, not decimals. Include units in your answers. 1.
Problem. A child is bouncing up and down in a swimming pool. She jumps up out of the water, and then sinks back down into the water. The height of her nose above the water r seconds after she started playing is given by h(r) = 2 sin(2ax) +1. Use Desmos to sketch the graph of h from r = 0 to r = 1. Your graph should clearly show the coordinates of the maxima, minima and points where the graph crosses its midline. 2 0.25 0.5 0.75 -1 On your graph, highlight the portion of the graph that correspond to the child's nose being underwater. You may do this with a pen/pencil of a different color or by making small x's along the relevant portion of the graph. Use Desmos to calculate the amount of time that the child spent underwater from z = 0 to r =1. Round to two decimals places and include units in your answer. Set up an equation that can be used to find the x-intercepts of h. Solve your equation to find the exact values of the r-intercepts shown in the graph in #1. Your answers should be fractions, not decimals. Include units in your answers. 1.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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just 4 and 5 please!
![Problem. A child is bouncing up and down in a swimming pool. She jumps up out of the
water, and then sinks back down into the water. The height of her nose above the water a
seconds after she started playing is given by h(x) = 2 sin(2ax)+1.
Use Desmos to sketch the graph of h from r = 0 to r = 1. Your graph should
clearly show the coordinates of the maxima, minima and points where the graph crosses
its midline.
4
3.
0.25
0.5
0.75
-1
-2
-3
-4
On your graph, highlight the portion of the graph that correspond to the
child's nose being underwater. You may do this with a pen/pencil of a different color
or by making small x's along the relevant portion of the graph.
Use Desmos to calculate the amount of time that the child spent underwater
from r = 0 to r = 1. Round to two decimals places and include units in your answer.
Set up an equation that can be used to find the r-intercepts of h.
1
Solve your equation to find the exact values of the x-intercepts shown in the
graph in #1. Your answers should be fractions, not decimals. Include units in your
answers.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa9efe910-fb5f-41b2-a82d-eda9e45aba44%2F7edda5fc-dc95-484a-93fb-ff9169e410a4%2Flmtia5n_processed.png&w=3840&q=75)
Transcribed Image Text:Problem. A child is bouncing up and down in a swimming pool. She jumps up out of the
water, and then sinks back down into the water. The height of her nose above the water a
seconds after she started playing is given by h(x) = 2 sin(2ax)+1.
Use Desmos to sketch the graph of h from r = 0 to r = 1. Your graph should
clearly show the coordinates of the maxima, minima and points where the graph crosses
its midline.
4
3.
0.25
0.5
0.75
-1
-2
-3
-4
On your graph, highlight the portion of the graph that correspond to the
child's nose being underwater. You may do this with a pen/pencil of a different color
or by making small x's along the relevant portion of the graph.
Use Desmos to calculate the amount of time that the child spent underwater
from r = 0 to r = 1. Round to two decimals places and include units in your answer.
Set up an equation that can be used to find the r-intercepts of h.
1
Solve your equation to find the exact values of the x-intercepts shown in the
graph in #1. Your answers should be fractions, not decimals. Include units in your
answers.
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