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3. Maisy, the bodacious Bernedoodle puppy, and Ollie, the hapless hamster are great math friends. Maisy wants to find the position function of a particle given that the velocity function is v(t) = 2tj + sin(t)k and the initial position is r(0) =i+j. Maisy says this means the constant of integration is (1,1,0), but Ollie warns her to be careful about using the initial position properly. Help Maisy find the correct position function.

3. Maisy, the bodacious Bernedoodle puppy, and Ollie, the hapless hamster are great math friends. Maisy wants to find the position function of a particle given that the velocity function is v(t) = 2tj + sin(t)k and the initial position is r(0) =i+j. Maisy says this means the constant of integration is (1,1,0), but Ollie warns her to be careful about using the initial position properly. Help Maisy find the correct position function.

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3. Maisy, the bodacious Bernedoodle puppy, and Ollie, the hapless hamster are great math friends. Maisy wants to find the position function of a particle given that the velocity function is v(t) = 2tj + sin(t)k and the initial position is r(0) =i+j. Maisy says this means the constant of integration is (1,1,0), but Ollie warns her to be careful about using the initial position properly. Help Maisy find the correct position function.
Transcribed Image Text:3. Maisy, the bodacious Bernedoodle puppy, and Ollie, the hapless hamster are great math friends. Maisy wants to find the position function of a particle given that the velocity function is v(t) = 2tj + sin(t)k and the initial position is r(0) =i+j. Maisy says this means the constant of integration is (1,1,0), but Ollie warns her to be careful about using the initial position properly. Help Maisy find the correct position function.
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