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  3. . [4 pts] the temperature of a 4 foot metal rod at

. [4 pts] The temperature of a 4 foot metal rod at a point x feet...

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Basic Math

. [4 pts] The temperature of a 4 foot metal rod at a point xfeet from its left endpoint is given by T(x) = 1 + 3x 2 , 0 ≤ x ≤4, where T is measured in degrees Celsius (and x is measured infeet). Find the average temperature of the rod.

5. [6 pts] A particle moves along a coordinate line and has anacceleration given by a(t) = 4t+ 6 cm/sec2 . If the particle’sinitial velocity is v(0) = −2 cm/sec, and its initial position iss(0) = 4 cm, find its position function s.

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