Researchers developed a function that can be used to accurately predict the weight of female cows, 1.2465 W(t) = 535 (1-0.915 e -0.0019t) 1.2 , where W(t) is the weight of a cow (in kg) that is t days old. Complete parts (a) through (d) below. B a. What is the maximum weight of the average cow? The maximum weight of the average cow is 535 kg. b. At what age does a cow reach 85% of this maximum weight? A cow reaches 85% of this maximum weight when it is about 1059 days old. (Do not round until the final answer. Then round to the nearest integer as needed.) c. Find W'(1000) and interpret. W'(1000) = (Round to two decimal places as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
icon
Related questions
Question
K
Researchers developed a function that can be used to accurately predict the weight of female cows,
1.2465
1-0.915 e -0.0019t) 1
W(t)=535 (1-
through (d) below.
where W(t) is the weight of a cow (in kg) that is t days old. Complete parts (a)
a. What is the maximum weight of the average cow?
The maximum weight of the average cow is 535 kg.
b. At what age does a cow reach 85% of this maximum weight?
A cow reaches 85% of this maximum weight when it is about 1059 days old.
(Do not round until the final answer. Then round to the nearest integer as needed.)
c. Find W'(1000) and interpret.
W' (1000) =
(Round to two decimal places as needed.)
Transcribed Image Text:K Researchers developed a function that can be used to accurately predict the weight of female cows, 1.2465 1-0.915 e -0.0019t) 1 W(t)=535 (1- through (d) below. where W(t) is the weight of a cow (in kg) that is t days old. Complete parts (a) a. What is the maximum weight of the average cow? The maximum weight of the average cow is 535 kg. b. At what age does a cow reach 85% of this maximum weight? A cow reaches 85% of this maximum weight when it is about 1059 days old. (Do not round until the final answer. Then round to the nearest integer as needed.) c. Find W'(1000) and interpret. W' (1000) = (Round to two decimal places as needed.)
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax