Please explain step by step 5)An archer was practicing target shooting with his bow and arrows when he stops toponder a calculus problem. The archer learned from physics that if the ground is(vo)²sin (20)flat and we neglect air resistance, then Rwheregthe range, R, is the horizontal distance from the archer to the point wherethe arrow hits the groundvo represents the initial velocity of the arrowmg is the acceleration due to gravity (g= 32= 9.81s2but just call it g)s2'and 0 is the angle above the horizontal.The archer wonders what initial angle would maximize R.ArcherrundRа)What does the archer need to find first? Circle one.dRdRdRdRdeA)dvoB)deD)dtE)dRdgb)What is an appropriate domain for the objective function (the function tomaximize/minimize)?Help the archer solve this problem using calculus, in particular derivatives.Show all work and show how you know your answer produces a maximum R.

a) To maximize or minimize a function we need to find the values of independent variable such that…

An archer was practicing target shooting with his bow and arrows when he stops to ponder a calculus problem. The archer learned from physics that if the ground is 5) (vo)²sin (20) flat and we neglect air resistance, then R = where the range, R, is the horizontal distance from the archer to the point where the arrow hits the ground vo represents the initial velocity of the arrow т • g is the acceleration due to gravity (g ~ 32수 ~ 9.81 s2 but just call it g) s2' and 0 is the angle above the horizontal. The archer wonders what initial angle would maximize R. Archer yromnd R а) What does the archer need to find first? Circle one. dR dR dR C) dg dR de A) dvo. B) do D) dt E) dR b) What is an appropriate domain for the objective function (the function to maximize/minimize)? c) Help the archer solve this problem using calculus, in particular derivatives. Show all work and show how you know your answer produces a maximum R.

An archer was practicing target shooting with his bow and arrows when he stops to ponder a calculus problem. The archer learned from physics that if the ground is 5) (vo)²sin (20) flat and we neglect air resistance, then R = where the range, R, is the horizontal distance from the archer to the point where the arrow hits the ground vo represents the initial velocity of the arrow т • g is the acceleration due to gravity (g ~ 32수 ~ 9.81 s2 but just call it g) s2' and 0 is the angle above the horizontal. The archer wonders what initial angle would maximize R. Archer yromnd R а) What does the archer need to find first? Circle one. dR dR dR C) dg dR de A) dvo. B) do D) dt E) dR b) What is an appropriate domain for the objective function (the function to maximize/minimize)? c) Help the archer solve this problem using calculus, in particular derivatives. Show all work and show how you know your answer produces a maximum R.

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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Concept explainers

Average

In mathematics, everyone must have heard the term average in one place or other. Almost all types of calculation require taking out an average. In everyday life, the term is used for denoting a certain amount that can be said to be a typical quantity for multiple people or objects. In other words, if a group of people possesses a certain object, then the average gives us an idea regarding the quantity of the object possessed by each person. However, this is solely based on mathematical calculation. It is important to note that most people will not strictly have the average value in a group.

Question

Please explain step by step

5)
An archer was practicing target shooting with his bow and arrows when he stops to
ponder a calculus problem. The archer learned from physics that if the ground is
(vo)²sin (20)
flat and we neglect air resistance, then R
where
g
the range, R, is the horizontal distance from the archer to the point where
the arrow hits the ground
vo represents the initial velocity of the arrow
m
g is the acceleration due to gravity (g
= 32= 9.81
s2
but just call it g)
s2'
and 0 is the angle above the horizontal.
The archer wonders what initial angle would maximize R.
Archer
rund
R
а)
What does the archer need to find first? Circle one.
dR
dR
dR
dR
de
A)
dvo
B)
de
D)
dt
E)
dR
dg
b)
What is an appropriate domain for the objective function (the function to
maximize/minimize)?
Help the archer solve this problem using calculus, in particular derivatives.
Show all work and show how you know your answer produces a maximum R.

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