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Consider an object moving along a line with the following velocity and initial position. v(t)= 12-4t on [0,5]; s(0) = 0 Determine the position function for t20 using both the antiderivative method and the Fundamental Theorem of Calculus. Check for agreement between the two methods. OA. The position function is the absolute value of the antiderivative of the velocity function. OB. The position function is the derivative of the velocity function. OC. The velocity function is the antiderivative of the absolute value of the position function. D. The position function is the antiderivative of the velocity function. Which equation below will correctly give the position function according to the Fundamental Theorem of Calculus? b OA. s(t) = v(t)dt a C. s(t)=s(0)+ t Sv(x)dx 0 +fv(i)dt OB. s(t)=s(0) + OD. s(0) = s(t) + [v(x)dx Determine the position function for t20 using both methods. Select the correct choice below and fill in the answer box(es) to complete your choice. OA. The same function is obtained using each method. The position function is s(t) = OB. Different functions are obtained using each method. The position function obtained using the antiderivative method is s(t)= and the position function obtained using the Fundamental Theorem of Calculus is s(t)=

Consider an object moving along a line with the following velocity and initial position. v(t)= 12-4t on [0,5]; s(0) = 0 Determine the position function for t20 using both the antiderivative method and the Fundamental Theorem of Calculus. Check for agreement between the two methods. OA. The position function is the absolute value of the antiderivative of the velocity function. OB. The position function is the derivative of the velocity function. OC. The velocity function is the antiderivative of the absolute value of the position function. D. The position function is the antiderivative of the velocity function. Which equation below will correctly give the position function according to the Fundamental Theorem of Calculus? b OA. s(t) = v(t)dt a C. s(t)=s(0)+ t Sv(x)dx 0 +fv(i)dt OB. s(t)=s(0) + OD. s(0) = s(t) + [v(x)dx Determine the position function for t20 using both methods. Select the correct choice below and fill in the answer box(es) to complete your choice. OA. The same function is obtained using each method. The position function is s(t) = OB. Different functions are obtained using each method. The position function obtained using the antiderivative method is s(t)= and the position function obtained using the Fundamental Theorem of Calculus is s(t)=

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 18E
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Consider an object moving along a line with the following velocity and initial position. v(t)=12-4t on [0,5]; s(0) = 0 Determine the position function for t20 using both the antiderivative method and the Fundamental Theorem of Calculus. Check for agreement between the two methods. OA. The position function is the absolute value of the antiderivative of the velocity function. B. The position function is the derivative of the velocity function. OC. The velocity function is the antiderivative of the absolute value of the position function. D. The position function is the antiderivative of the velocity function. Which equation below will correctly give the position function according to the Fundamental Theorem of Calculus? b =fv(t)dt a OA. s(t)= C. s(t) = s(0) + [v(x)dx 0 b OB. s(t) = S(0) + Sv(t)dt t OD. s(0) = s(t) + [v(x)dx 0 Determine the position function for t20 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) = OB. Different functions are obtained using each method. The position function obtained using the antiderivative method is s(t) = the Fundamental Theorem of Calculus is s(t)= 4 and the position function obtained using
Transcribed Image Text:Consider an object moving along a line with the following velocity and initial position. v(t)=12-4t on [0,5]; s(0) = 0 Determine the position function for t20 using both the antiderivative method and the Fundamental Theorem of Calculus. Check for agreement between the two methods. OA. The position function is the absolute value of the antiderivative of the velocity function. B. The position function is the derivative of the velocity function. OC. The velocity function is the antiderivative of the absolute value of the position function. D. The position function is the antiderivative of the velocity function. Which equation below will correctly give the position function according to the Fundamental Theorem of Calculus? b =fv(t)dt a OA. s(t)= C. s(t) = s(0) + [v(x)dx 0 b OB. s(t) = S(0) + Sv(t)dt t OD. s(0) = s(t) + [v(x)dx 0 Determine the position function for t20 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) = OB. Different functions are obtained using each method. The position function obtained using the antiderivative method is s(t) = the Fundamental Theorem of Calculus is s(t)= 4 and the position function obtained using
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