3 km SIDEWALK to III I - - B km PARK A The fearless pizza delivery guy travels by foot and skateboard from the pizza shop to my house. My house is at point B on the north side of a grassy park which is 1 km wide. The pizza shop is at point A on the south side of the park opposite the point O which is 3 km east of my house. The delivery guy knows that I am hungry and that I tip well, so he wants to minimize his travel time. He walks across the park in a straight line from point A to a point C on the north side of the park at 4 km hour, and then he skates along the sidewalk from point C to point B at 12 km per hour. See the diagram. What choice of the point C minimizes the travel time? (The delivery guy is fearless, but not reckless. He always wears a helmet.) Your solution should clearly display a function to be minimized, an interval on which the function is to be minimized, a calculation of the minimum value, and an explanation of why the value you found is a minimum.

3 km SIDEWALK to III I - - B km PARK A The fearless pizza delivery guy travels by foot and skateboard from the pizza shop to my house. My house is at point B on the north side of a grassy park which is 1 km wide. The pizza shop is at point A on the south side of the park opposite the point O which is 3 km east of my house. The delivery guy knows that I am hungry and that I tip well, so he wants to minimize his travel time. He walks across the park in a straight line from point A to a point C on the north side of the park at 4 km hour, and then he skates along the sidewalk from point C to point B at 12 km per hour. See the diagram. What choice of the point C minimizes the travel time? (The delivery guy is fearless, but not reckless. He always wears a helmet.) Your solution should clearly display a function to be minimized, an interval on which the function is to be minimized, a calculation of the minimum value, and an explanation of why the value you found is a minimum.

Name: 3 kmSIDEWALK↑ o1 kmPARKAThe fearless pizza delivery guy travels by fo
Uploaded: 2024-03-20T07:07:26.000Z
Channel: Bartleby
Description: 3 kmSIDEWALK↑ o1 kmPARKAThe fearless pizza delivery guy travels by foot and skateboard from the pizza shop to my house. My house is at point B on the north side of a grassy parkwhich is 1 km wide. The pizza shop is at point A on the south side of th

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: What will be our X1 if X2= -2, y1= 5, y2= 3 and our distance is 15?

Q: Determine if the following lines are parallel, perpendicular, or neither. Perpendicular Neither.…

Q: What is the equation of a line that is perpendicular to the line y = - x-1 and passes through the…

Q: As an architect, you are making a wheel chair access to a house you designed. The vertical distance…

Q: 33. y 6. Line q intersects the parallel lines p and l. What is 3 A. 3 В. х C. D. 3

A: We have to find the value

Q: Find the distance between the points whose coordinates are given (48,32),(44,20) Although i do know…

A: Find the distance between the points whose coordinates are given (48,32),(44,20)

Q: A) Using (0,0) for the location of the National Geographic Museum, write a linear equation for the…

Q: A volcano is located at the point (1,3). Scientists have determined that a possible eruption of this…

A: Given point =1,3 radius =4

Q: Q1: /Date for a map (X and R Chart) of a company "Sky energy" to product "Solar photo voltaies."…

A: For a quality characteristic with mean of a sample and…

Q: Can this be done with a better layout? I do not understand

A: NOTE: Refresh your page if you can't see any equations. . the system is here we need to solve this…

Q: Given the two intersecting lines, find the solution 6- 5 4 3 2 1- -7 -6 -5 -4 -3 -2 -1 -1 -3 -4 -5…

Q: Make the table of values. Substitute and solve for x (write procedure) and then graph the equation…

A: Consider the first equation. y=4x+2 x y 0 2 1 6 -1 -2 2 10 -2 -6

Q: V) through (-1,2) and perpendicular to 3x+ 4y = 12

Q: OA. L2 and L3 are parallel. Their distance is B. L2 and L3 are skew. Their distance is 49792 605

A: Formula: The distance between two skew lines r1→=a1→+tb1→ and r2→=a2→+tb2→ is:…

Q: In the diagram below, ZTSU If ST = 13x 12 and VU S 14 16 T Cannot be determined 2 - = U LUVT and…

Q: Kelth SrICklanic R W/X H/G Y/Z F/E Note: Figure is not drawn to scale. Which of the following are…

Q: a) Of course, you cannot draw a straight line that will connect every point. However, you can draw a…

Q: 3-) Find the equatin ot the family4 l lines in 3-5pa ce perpendicular to 2x-y+2=6.

Q: Pat and Mel decide to test their new walkie-talkies, which have a range of six miles. Leaving from…

Q: A rectangle field is to be watered by a rotating sprinkler head with a range of 25 feet. The…

A: Given: A rectangular field should be watered by a rotating sprinkler head with a range of 25 feet.…

Q: How is the line y = 1 – x converted by mapping w = x² ? Please write the answer in legible and…

A: Given the line y=1-x and the mapping w=x2. Need to find the how the line y=1-x is mapped by w=x2.

Q: A firmer needs to protect his land of area 14400 square feet. He wants to use two types of fencing…

A: The area of the land is 14400 square feet. Now the land is in the form of a rectangle and the…

Q: The line perpendicular to y = -2x + 1 that passes through (1,3) is subject: straight and…

A: The answer is found in step-2

Topic Video

Question

3 km
SIDEWALK
↑ o
1 km
PARK
A
The fearless pizza delivery guy travels by foot and skateboard from the pizza shop to my house. My house is at point B on the north side of a grassy park
which is 1 km wide. The pizza shop is at point A on the south side of the park opposite the point O which is 3 km east of my house. The delivery guy knows
that I am hungry and that I tip well, so he wants to minimize his travel time. He walks across the park in a straight line from point A to a point Con the north
side of the park at 4 km hour, and then he skates along the sidewalk from point C to point B at 12 km per hour. See the diagram. What choice of the point C
minimizes the travel time? (The delivery guy is fearless, but not reckless. He always wears a helmet.)
Your solution should clearly display a function to be minimized, an interval on which the function is to be minimized, a calculation of the minimum value, and
an explanation of why the value you found is a minimum.

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Optimization$

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

2. Julio knows that he makes his best serve when he holds his racket at least3 m high. Is he currently set up to make a good serve? Justify your answer mathematically.
4. Perpendicular to x - 3y = 2 and passes thru (-3,5) 5. Parallel to the x- axis and thru (-7,3) 6. Parallel to the y- axis and thru (-7,3)
Solve step by step in digital format please 1. Prove analytically that the lines joining the midpoints of the adjacent sides of the quadrilateral with vertices A(-3,2), B(5,4), C(7, −6) and D(-5, -4 ) form another quadrilateral whose perimeter is equal to the sum of the diagonals of the first.
The United States Postal Service ships a package under large-package rates if the sum of the Tength and the girth of the package is greater than 84 inches and less than or equal to 108 inches. The "length" of the package is considered to be the length of its longest side, and the "girth" of the package is the distance around the package perpendicular to its length. Fran wants to ship packages under the USPS large-package rates. Her package is a rectangular solid (see picture) whose length is 40 inches. What is the largest volume that her package can have?
6. A family wants to build a fence in their backyard for their dogs, Charlie and Linus. The enclosed space needs to be a rectangle with an area of 4000 square meters. One side of the enclosed space will be next to the house, so they only need fencing along three sides of the rectangle. How much fencing will they need to buy to minimize the perimeter of the enclosed space?
The distance between the line x =-2+2t ,y=2t+1, z=2-t and the line x=3- 2t y=-2t+1,z=t is V14 Option 2 V13 Option 1 13 Option 3
Plane A headed north and Plane B headed west. After an hour, Plane A was 300km from the starting point and Plane B was 250km from the starting point. How far apart are these 2 planes from each other? PLZ HELP ASAP THIS DO IN 5 MINUTES!!!!