Thinking 17. The population of foxes, in thousands, in a provincial park has been modelled using the 50ln(t+1) equation P(t) = t+1 where t is the time in years. Determine the maximum population of foxes. 18. Determine the coordinates of the absolute extremes of y = 3sinx(cosx), 0 ≤x≤2л. [ | | | 8. Given f(x) = sin (4x + 7/7), find f' (Z). a) 0 b) 4 9. The derivative of y = √√ex is: a) √ex 1 b) 2√e c) -4 d) 1 d) √√√ex b) 3e (cosx)(sinx) c) 3e* (cosx-sinx) d) 3e cosx+3e sinx 10. The derivative of y = 3e*cosx a) 3e*sinx Communication True or False: [' 11. The derivative of a sinusoidal function is another sinusoidal function. 12. The rate of change of a sinusoidal function is periodic in nature. 13. A sinusoidal function can be differentiated only if the independent variable is measured in radians. 14. The derivatives of the reciprocal trigonometric functions can be found using the chain rule and their related base functions. 15. There are an infinite number of tangents with a given non-zero slope to a sinusoidal curve. sinx 16. Using the Quotient tanx = to prove tanx = sec²x. [3 Marks] COSX dx
Thinking 17. The population of foxes, in thousands, in a provincial park has been modelled using the 50ln(t+1) equation P(t) = t+1 where t is the time in years. Determine the maximum population of foxes. 18. Determine the coordinates of the absolute extremes of y = 3sinx(cosx), 0 ≤x≤2л. [ | | | 8. Given f(x) = sin (4x + 7/7), find f' (Z). a) 0 b) 4 9. The derivative of y = √√ex is: a) √ex 1 b) 2√e c) -4 d) 1 d) √√√ex b) 3e (cosx)(sinx) c) 3e* (cosx-sinx) d) 3e cosx+3e sinx 10. The derivative of y = 3e*cosx a) 3e*sinx Communication True or False: [' 11. The derivative of a sinusoidal function is another sinusoidal function. 12. The rate of change of a sinusoidal function is periodic in nature. 13. A sinusoidal function can be differentiated only if the independent variable is measured in radians. 14. The derivatives of the reciprocal trigonometric functions can be found using the chain rule and their related base functions. 15. There are an infinite number of tangents with a given non-zero slope to a sinusoidal curve. sinx 16. Using the Quotient tanx = to prove tanx = sec²x. [3 Marks] COSX dx
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...
Related questions
Question
![Thinking
17. The population of foxes, in thousands, in a provincial park has been modelled using the
50ln(t+1)
equation P(t) =
t+1
where t is the time in years.
Determine the maximum population of foxes.
18. Determine the coordinates of the absolute extremes of y = 3sinx(cosx), 0 ≤x≤2л.
[](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdf41df8f-e300-4854-aaa2-c9c3c769a22c%2F807a4baf-fbbe-43f7-8ce0-cad9e4218052%2Fsc0l9ae_processed.png&w=3840&q=75)
Transcribed Image Text:Thinking
17. The population of foxes, in thousands, in a provincial park has been modelled using the
50ln(t+1)
equation P(t) =
t+1
where t is the time in years.
Determine the maximum population of foxes.
18. Determine the coordinates of the absolute extremes of y = 3sinx(cosx), 0 ≤x≤2л.
[
![|
|
|
8. Given f(x) = sin (4x + 7/7), find f' (Z).
a) 0
b) 4
9. The derivative of y = √√ex is:
a) √ex
1
b)
2√e
c) -4
d) 1
d) √√√ex
b) 3e (cosx)(sinx)
c) 3e* (cosx-sinx) d) 3e cosx+3e sinx
10. The derivative of y = 3e*cosx
a) 3e*sinx
Communication
True or False: ['
11. The derivative of a sinusoidal function is another sinusoidal function.
12. The rate of change of a sinusoidal function is periodic in nature.
13. A sinusoidal function can be differentiated only if the independent variable is
measured in radians.
14. The derivatives of the reciprocal trigonometric functions can be found using
the chain rule and their related base functions.
15. There are an infinite number of tangents with a given non-zero slope to a
sinusoidal curve.
sinx
16. Using the Quotient tanx =
to prove
tanx = sec²x. [3 Marks]
COSX
dx](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdf41df8f-e300-4854-aaa2-c9c3c769a22c%2F807a4baf-fbbe-43f7-8ce0-cad9e4218052%2Fguso3h_processed.png&w=3840&q=75)
Transcribed Image Text:|
|
|
8. Given f(x) = sin (4x + 7/7), find f' (Z).
a) 0
b) 4
9. The derivative of y = √√ex is:
a) √ex
1
b)
2√e
c) -4
d) 1
d) √√√ex
b) 3e (cosx)(sinx)
c) 3e* (cosx-sinx) d) 3e cosx+3e sinx
10. The derivative of y = 3e*cosx
a) 3e*sinx
Communication
True or False: ['
11. The derivative of a sinusoidal function is another sinusoidal function.
12. The rate of change of a sinusoidal function is periodic in nature.
13. A sinusoidal function can be differentiated only if the independent variable is
measured in radians.
14. The derivatives of the reciprocal trigonometric functions can be found using
the chain rule and their related base functions.
15. There are an infinite number of tangents with a given non-zero slope to a
sinusoidal curve.
sinx
16. Using the Quotient tanx =
to prove
tanx = sec²x. [3 Marks]
COSX
dx
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