of a foot) that maximizes this viewing angle. 95. Shooting angles and shots on goal: A soccer player is on a breakaway and is dribbling just inside the right sideline toward the opposing goal (see figure). As the defense closes in, she has just a few seconds to decide when to shoot. (a) Use inverse functions to find an expression for the shooting angle 0. (b) Use a calculator to help determine the distance d (to tenths of a foot) that will maximize the shooting angle for the dimensions shown. Exercise 95 24 ft 70 ft (goal area) (penalty area) (sideline)

of a foot) that maximizes this viewing angle. 95. Shooting angles and shots on goal: A soccer player is on a breakaway and is dribbling just inside the right sideline toward the opposing goal (see figure). As the defense closes in, she has just a few seconds to decide when to shoot. (a) Use inverse functions to find an expression for the shooting angle 0. (b) Use a calculator to help determine the distance d (to tenths of a foot) that will maximize the shooting angle for the dimensions shown. Exercise 95 24 ft 70 ft (goal area) (penalty area) (sideline)

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...

See similar textbooks

Related questions

Q: Sketch the trace at z = 0. = 1 25 16 2 -6 -4 4 -6 -4 6 4 -6 4 -아 -8 -6 -4 -2 4

A: topic - sketch of a equation

Q: Match the degree of a polynomial to the number of changes of direction on the graph. 1. degree of…

A: Given. We need to match the degree of polynomial to the maximum possible number of of change in the…

Q: Graph the preimage and image of AABC with A(-4,3), B(-2,2), and C(-3,-3). Reflect it about the…

A: The given points of triangle ABC are as A= (-4,3) B= (-2,2) C= (-3,-3)

Q: Produce the following graphics by using Mathematica. Hint:U last graph 60 50 40 x2 30 20 10 1.0 1.5…

A: As 4 questions are given, I will solve only the first one : We have to draw graph for :x,x2,x3,x4…

Q: Write facts about ; a. Linear fuction b. Graphs of Linear fuction

Q: 3.8) Calculate the speed James was cycling in segment E. Give your answer in miles per hour. Use…

A: As per the question we are given a distance (miles) vs time (hours) graph with leveling on each…

Q: The diagram below represents a floor plan with the doors between the rooms and the outside…

A: An Euler circuit is a closed path. It starts at any vertex of the graph and traverses each edge of…

Q: Draw a model to represent 12:3.

Q: None of the images are showing

Q: 24 48 72 96 +0 0 24 48 72 96 50 50% 150 C) 150- D) 24 48 72 96 ++ 0 24 48 72 96 50- -50- 00: 00- 150…

A: We will find the graph

Q: d) At what time are the ships closest? Remember to justify with analysis of your number line and…

Q: f(x) = V1+x (red) and g(x) = 1+x (blue) %3D

A: Given, fx=1+x gx=1+12x

Q: Use the graph below to answer the questions. Clearly explain your thinking. John’s journey is…

A: Let us answer above questions.

Q: -10 -10 a. 10 b. d. Which graph has equation x2 + y2 = 25 В

Q: Tom is training for a marathon. house at 4:00 am. At 5:30 am, he was 7.5 m from his house. The…

A: Given that Tom is training for the marathon. He starts at 4am from home and after 1.5 hours at…

Q: Determine the amplitude of the following graph. 5 4 3 1 37 51 37 47 57 бл 11T 2 2 2 2 2 2 -1 -2 -3

Q: Are the ff. two graphs isomorphic? 1 0 0 1 1 1 1 O False O True

A: Two graphs are isomorphic if one graph can be obtained from the other by relabelling the vertices.…

Q: Find two numbers that meet

A: Then x+y= 15 xy= 56we solve the equation to find the value

Q: 3) Put x2 + 6x - y = 8 in st:

Q: Question 7: Suppose that K,H ≤ G such that G = HK and Hn and hk = kh, VhEH and kE K. Show that G≈ H

Q: This graph shows the relationship the number of dayssince the NBA season began and the number of…

A: Solution: Statement (B),(D) do not support the graph showing the relationship the number of days…

Q: Part b wanted the time not distance

Q: Challenge 9

A: We are asked to find the equation of the dash line

Q: The graph of y = VI is given below: 4 3- 2. -4 -3 -2 -2- -3 -4 Find a formula for each of the…

Q: 4. y = (x + 2)² +2 (A) not a function (B) function; domain: R 5. x = (y – 2)² +1 (A) not a function…

Q: H.

A: In the given question we have to find the shortest path from A to J and we also determine the length…

Q: Find the vertices and the area of the triangle formed by the graphs of y=|x-3| and -x+2y=5?

Q: A 7 D 6 5 F B 8 Find the minimum distance to connect all the nodes. Show all your links. (upload the…

Q: Calculate x - 1 in degrees. [Image 15]

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: b) Predict the numbers of hours a student spends studying per week if th Explain or show how you…

A: To find the equation that represents the data and also to predict the number of hours when a number…

Q: 3.2) Give the distance (in miles) between town and James’ house. 3.3) Name the dependent and…

A: To find: Distance between town and James house. To find: Dependent and independent variables. To…

Concept explainers

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.

Question

With all work shown

of a foot) that maximizes this viewing angle.
95. Shooting angles and shots on goal: A soccer
player is on a breakaway and is dribbling just
inside the right sideline toward the opposing goal
(see figure). As the defense closes in, she has just a
few seconds to decide when to shoot. (a) Use
inverse functions to find an expression for the
shooting angle 0. (b) Use a calculator to help
determine the distance d (to tenths of a foot) that
will maximize the shooting angle for the
dimensions shown.
Exercise 95
24 ft
70 ft
(goal area)
(penalty area)
(sideline)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Trending now

This is a popular solution!

Step by step

Solved in 6 steps with 6 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Functions and Inverse Functions$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

1. The current, I milliamperes, in a circuit is measured for various values of applied voltage V volts. If the law connecting I and V is I = aV", where a and n are constants, draw a suitable graph and determine the values of a and n that best fit the set of recorded values. V I 8 41-1 12 55-6 15 65-8 20 81.6 28 105 36 127
Question 10 .
A delivery person must visit each street once before returning home (node E). What ordering of the streets minimize the total distance the delivery person must travel before returning home. (The numbers next to arc indicates the distance in meters for travelling). Based on the network below;
The following is a tabulation of two quantities X and Y. X- 1, 2, 3, 4, 5, 6 Y- 200, 100, 66, 50, 40, 33 a. Plot X against Y. b. Express the relationship between the variables in sentence form and in equation form. c. Verify the relationship of X and Y with another graph.
Question 22 Integrate: 7 7² +4² -da Question Help: Video Submit Question + C > Jump to Answer
Need help with these math problems.
part (iii)
Question 12
If limf (x) = 47 and f' (x) is positive for all x, what is limf (x)? (Assume that this limit exists.) limf' (x) = Select the graph that is a possible sketch of f (x). The dashed line is the horizontal line y = 47. Figure 1 Figure 2 y
Match the option that best answer each of the following In three dimensional coordinate systems, each of the coordinates are to each other Choose...