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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Question
How can I do number 2
![HW 5
DUE 10/29/2021
ΜΑΤΗ 1300
FALL 2021
Please show all of your work. As a reminder: you may feel free to work together on homework assignments,
but each student must turn in their own work.
2.x3 – 5x² + 3x
1. Find the equation of the slant asymptote of y =
x² – x – 2
Sketch the following curves
2. y = sin(x) + v3 cos(x) on [–27, 27].
x – x²
3. y=
12 — Зх + 2
4. Find the maximum area of an isosceles triangle inscribed in a circle of radius r.
5. You and your friends are hosting a round pizza party, and you are tasked in determining what size
the pizzas you should order from Sam's Mathematical Pizza Shop (no relation) should be. Sam's
Mathematical Pizza Shop is....odd to say they least, and they cut their pizza so that every slice has a
perimeter of 32 inches. What size pizza (in terms of diameter) should you order to ensure that each
slice has maximum area?
6. Find the points on the ellipse 4x² + y²
= 4 that are farthest away from the point (1,0).
7. Your cousin challenges you to a contest. You each have 10m of wire to bend into a square and a
circle. Whoever has the shapes which encompass the most total area wins. In an effort to win, find
the dimensions of the shapes (side length for square and radius for circle) which maximize the area.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F40a9514d-d7ca-4467-8320-3b6e9b54f257%2F5dc448b3-8d68-4fc0-b127-9bea2f2dc758%2Fnz4dm1o_processed.png&w=3840&q=75)
Transcribed Image Text:HW 5
DUE 10/29/2021
ΜΑΤΗ 1300
FALL 2021
Please show all of your work. As a reminder: you may feel free to work together on homework assignments,
but each student must turn in their own work.
2.x3 – 5x² + 3x
1. Find the equation of the slant asymptote of y =
x² – x – 2
Sketch the following curves
2. y = sin(x) + v3 cos(x) on [–27, 27].
x – x²
3. y=
12 — Зх + 2
4. Find the maximum area of an isosceles triangle inscribed in a circle of radius r.
5. You and your friends are hosting a round pizza party, and you are tasked in determining what size
the pizzas you should order from Sam's Mathematical Pizza Shop (no relation) should be. Sam's
Mathematical Pizza Shop is....odd to say they least, and they cut their pizza so that every slice has a
perimeter of 32 inches. What size pizza (in terms of diameter) should you order to ensure that each
slice has maximum area?
6. Find the points on the ellipse 4x² + y²
= 4 that are farthest away from the point (1,0).
7. Your cousin challenges you to a contest. You each have 10m of wire to bend into a square and a
circle. Whoever has the shapes which encompass the most total area wins. In an effort to win, find
the dimensions of the shapes (side length for square and radius for circle) which maximize the area.
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