Bob is running a race. Between time t = 0 min and f= 20 min, his speed is 5 miles an hour, between time t = 20 min and t= 30 min, his speed is 6 miles an hour. How far has he run? 0 1 mile 0 2.66? miles 0 3.5 miles 0 11 miles What is the total change of x), if f'(a:) = 2:1: 31:2, over the interval [0, 3]? D -18 D -12 o -6 DE If f($} = 62:", which of the functions or theorems describes the average value of f(x) over the interval [0, 2]? Bi 80 O The Mean Value Theorem: Average value is 2 2e42e" 2 O The Mean Value Theorem: Average value is . . 2 O The average value function: Average value Is % 1;] :222 dz: 0 The average value function: Average value is 1:12 232\" do: Bob likes to drink his coffee hot, warmer than 100 degrees Fahrenheit. His coffee starts off at 180 degrees and then cools at the rate of t) 2 0.UZt2 , where tis in minutes. What formula would you use to nd the temperature. T), of the coffee after '1 hour? Do not evaluate the integral. 0 T(60) = 180 \" 05 0.U2tdt 0 T(60) = 100 % [05 41.02: dt 0 T(60) = 180 16" 41.02: at: o T(60) = 180 + 16" 0.02t (it If the area under the curve, x}, on the interval [0, 4] equals 15, what is the average value of x)? O15 If an object is moving with vhf) 2 3t and the position X(1) = 2, what is the position of the object at t = 5? 0 222.45? 0 221.457 0 220.457 0 218.457 If f($} = 62:", which of the functions or theorems describes the average value of f(x) over the interval [0, 2]? Bi 80 O The Mean Value Theorem: Average value is 2 2e42e" 2 O The Mean Value Theorem: Average value is . . 2 O The average value function: Average value Is % 1;] :222 dz: 0 The average value function: Average value is 1:12 232\" do: If the position of an object is given by s(t) = In(to), what is the displacement of the object between t = 1 and t = 4? 0 3 O 4.159 O 4.328 O 16.87If f(ac) = ezz, what is the average value of f(x) between [0, 3]? O 201.714 O 201.214 O 67.238 O 67.071If an object is moving along a horizontal line, such that it's velocity, v(t) = cos{3t), what is the object's displacement between t = 0 and t = 4? O -0.179 O 0.179 O 1.123 O 1.431 \fWhat is the formula for the total distance traveled by an object with a velocity v(t) = sin(t) on the interval [0, 4]? O f sin (t) dt - f* sin (t) dt O - So sin (t) dt + sin (t) dt O - sin (t) dt + f sin (t) dt O fo sin (t) dt - ff sin (t) dtIf an object is moving along a horizontal line, such that it's velocity, v(t) = 3', what is the object's displacement between t = 1 and t = 3? O 1 9.346 0 20.346 0 21 .346 0 22.846
