10 30 40 minutes h(t) feet 100 80 85 v(t) feet per minute -2 4 9. A hot air balloon is launched into the air with a human pilot. The twice-differentiable function h models the balloon's height, measured in feet, at timet, measured in minutes. The table above gives values of the h(t) an the vertical velocity v(t) of the balloon at selected times t. For 10

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 4ECP
icon
Related questions
Question
Number 1. Please justify
rmative.com/formatives/601876b61268fa769108b3bd
5.1 The Mean Value Theorem
Name:
Calculus - Calculator Allowed
Mastery Check #1
Date:
Period:
10
30
40
minutes
h(t)
feet
100
80
85
v(t)
feet per minute
-2
4
9.
A hot air balloon is launched into the air with a human pilot. The twice-differentiable function h models the
balloon's height, measured in feet, at time t, measured in minutes. The table above gives values of the h(t) and
the vertical velocity v(t) of the balloon at selected times t.
For 10 <t < 30, must there be a time t when the balloon is 81 feet in the air? Justify your answer.
For 30 <t s 40, must there be a time t when the balloon's velocity is 0.4 feet per second? Justify your
answer.
Transcribed Image Text:rmative.com/formatives/601876b61268fa769108b3bd 5.1 The Mean Value Theorem Name: Calculus - Calculator Allowed Mastery Check #1 Date: Period: 10 30 40 minutes h(t) feet 100 80 85 v(t) feet per minute -2 4 9. A hot air balloon is launched into the air with a human pilot. The twice-differentiable function h models the balloon's height, measured in feet, at time t, measured in minutes. The table above gives values of the h(t) and the vertical velocity v(t) of the balloon at selected times t. For 10 <t < 30, must there be a time t when the balloon is 81 feet in the air? Justify your answer. For 30 <t s 40, must there be a time t when the balloon's velocity is 0.4 feet per second? Justify your answer.
Expert Solution
Step 1

Given, 

10<= t <= 30

Form the table,

100<= h(t) <= 80

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Inequality
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
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning