Consider an object moving along a line with the following velocity and initial position. vit) 9-t on (0,4) s0)= -4 Determine the position function for t20 using both the antiderivative method and the Fundamental Theorem of Calculus. Check for agreement between the two methods. A unnauni Auaniaa aui in aaIRAuanue aun suunuauniunnisnd au E OB. The position function is the derivative of the velocity function OC. The position function is the absolute value of the antiderivative of the velocity function. O D. The velocity function is the antiderivative of the absolute value of the position function. Which equation below will correctly give the position function according to the Fundamental Theorem of Calculus? b A. st) s0) B st)= | v(t)dt xp(x)A IPLS0)-s0) + O C. st) s(0) v(t)dt Determine the position function for t 0 using both methods. Select the correct choice below and fill in the answer box(es) to complete your choice. A. The same function is obtained using each method. The position function is s(t) =| | and the position function 8. Different functions are obtained using each method. The position function obtained using the antiderivative method is s(t)= obtained using the Fundamental Theorem of Calculus is s(t) = |

Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
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Chapter1: Functions And Models
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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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Consider an object moving along a line with the following velocity and initial position.
vit) 9-t on (0,4) s0)= -4
Determine the position function for t20 using both the antiderivative method and the Fundamental Theorem of Calculus. Check for agreement between the two
methods.
A
unnauni Auaniaa aui in aaIRAuanue aun suunuauniunnisnd au
E
OB. The position function is the derivative of the velocity function
OC. The position function is the absolute value of the antiderivative of the velocity function.
O D. The velocity function is the antiderivative of the absolute value of the position function.
Which equation below will correctly give the position function according to the Fundamental Theorem of Calculus?
b
A. st) s0)
B st)= | v(t)dt
xp(x)A
IPLS0)-s0) +
O C. st) s(0)
v(t)dt
Determine the position function for t 0 using both methods. Select the correct choice below and fill in the answer box(es) to complete your choice.
A. The same function is obtained using each method. The position function is s(t) =| |
and the position function
8. Different functions are obtained using each method. The position function obtained using the antiderivative method is s(t)=
obtained using the Fundamental Theorem of Calculus is s(t) = |
Transcribed Image Text:Consider an object moving along a line with the following velocity and initial position. vit) 9-t on (0,4) s0)= -4 Determine the position function for t20 using both the antiderivative method and the Fundamental Theorem of Calculus. Check for agreement between the two methods. A unnauni Auaniaa aui in aaIRAuanue aun suunuauniunnisnd au E OB. The position function is the derivative of the velocity function OC. The position function is the absolute value of the antiderivative of the velocity function. O D. The velocity function is the antiderivative of the absolute value of the position function. Which equation below will correctly give the position function according to the Fundamental Theorem of Calculus? b A. st) s0) B st)= | v(t)dt xp(x)A IPLS0)-s0) + O C. st) s(0) v(t)dt Determine the position function for t 0 using both methods. Select the correct choice below and fill in the answer box(es) to complete your choice. A. The same function is obtained using each method. The position function is s(t) =| | and the position function 8. Different functions are obtained using each method. The position function obtained using the antiderivative method is s(t)= obtained using the Fundamental Theorem of Calculus is s(t) = |
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