lim 1- ((+16- (36+20+10) ↓ 11x0+16-4xD Page.3 Q3. [10 marks] A lawn care worker mows grass. The worker's performance y (in m2) is described by y = -0.003x + 0.128x3 - 0.696x² + 1.344x + 50, where x = 1 corresponds to June 1 (1 ≤ x ≤ 30). a) Prove that x = 2 and x = = 28 are critical points. Those points are critical because... [2 marks] b) Classify the critical points using the 1st derivative OR the 2nd derivative test. x=2 is a local minimum/maximum/neither; x=28 is a local minimum/maximum/neither. [3 marks] c) What is the best performance during the month? The lowest performance? (Check the critical points and the end points.) Show 2 decimals. Maximum = m² on June...; minimum = m² on June d) Write the intervals where the worker's performance increases; decreases. Increases: Solution: Decreases: [3 marks] [2 marks]
lim 1- ((+16- (36+20+10) ↓ 11x0+16-4xD Page.3 Q3. [10 marks] A lawn care worker mows grass. The worker's performance y (in m2) is described by y = -0.003x + 0.128x3 - 0.696x² + 1.344x + 50, where x = 1 corresponds to June 1 (1 ≤ x ≤ 30). a) Prove that x = 2 and x = = 28 are critical points. Those points are critical because... [2 marks] b) Classify the critical points using the 1st derivative OR the 2nd derivative test. x=2 is a local minimum/maximum/neither; x=28 is a local minimum/maximum/neither. [3 marks] c) What is the best performance during the month? The lowest performance? (Check the critical points and the end points.) Show 2 decimals. Maximum = m² on June...; minimum = m² on June d) Write the intervals where the worker's performance increases; decreases. Increases: Solution: Decreases: [3 marks] [2 marks]
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
old test for review. thanks.
![lim
1-
((+16-
(36+20+10)
↓
11x0+16-4xD
Page.3
Q3. [10 marks] A lawn care worker mows grass. The worker's performance y (in m2) is described
by y = -0.003x + 0.128x3 - 0.696x² + 1.344x + 50, where x = 1 corresponds to June 1
(1 ≤ x ≤ 30).
a) Prove that x = 2 and x = = 28 are critical points.
Those points are critical because...
[2 marks]
b) Classify the critical points using the 1st derivative OR the 2nd derivative test.
x=2 is a local minimum/maximum/neither; x=28 is a local minimum/maximum/neither. [3 marks]
c) What is the best performance during the month? The lowest performance? (Check the critical
points and the end points.) Show 2 decimals.
Maximum =
m² on June...;
minimum =
m² on June
d) Write the intervals where the worker's performance increases; decreases.
Increases:
Solution:
Decreases:
[3 marks]
[2 marks]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F90dc81c6-d2b9-40d5-8f97-c3493ba09e0c%2Feaccecfe-9f81-4cbb-8ecd-267128871795%2Frxyllh7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:lim
1-
((+16-
(36+20+10)
↓
11x0+16-4xD
Page.3
Q3. [10 marks] A lawn care worker mows grass. The worker's performance y (in m2) is described
by y = -0.003x + 0.128x3 - 0.696x² + 1.344x + 50, where x = 1 corresponds to June 1
(1 ≤ x ≤ 30).
a) Prove that x = 2 and x = = 28 are critical points.
Those points are critical because...
[2 marks]
b) Classify the critical points using the 1st derivative OR the 2nd derivative test.
x=2 is a local minimum/maximum/neither; x=28 is a local minimum/maximum/neither. [3 marks]
c) What is the best performance during the month? The lowest performance? (Check the critical
points and the end points.) Show 2 decimals.
Maximum =
m² on June...;
minimum =
m² on June
d) Write the intervals where the worker's performance increases; decreases.
Increases:
Solution:
Decreases:
[3 marks]
[2 marks]
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