algebra week 1

Congratulations! You passed! Grade received 62.50% Latest Submission Grade 62.50% To pass 60% or higher Go to next item 1. Question 1 Let ( )=− 2+6 −3 � � � � f ( x )=− x 2 +6 x −3 . Find ′(−2) � f ′ (−2) . 1 / 1 point Correct 2. Question 2 Given the position function ( )=6+12 +4 2 � � � � p ( t )=6+21 t +4 t 2 of a particle as a function of time, what is the particle's velocity at =1 � t =1 ? 1 / 1 point Correct 3. Question 3 A very rough model of population size � P for an ant species is ( )=2ln( +2) � � � P ( t )=2ln( t +2) , where � t is time. What is the rate of change of the population at time =2 � t =2 ? 1 / 1 point Correct 4. Question 4 Find ���� dtdV for =14 3 � � V =41 t 3 . 1 / 1 point Correct 5. Question 5 If a car's position is represented by ( )=4 3 � � � s ( t )=4 t 3 , what is the car's change in velocity from =2 � t =2 to =3 � t =3 ? 0 / 1 point Incorrect 6. Question 6 A particle's position, � p , as a function of time, � t , is represented by ( )=13 3−3 2+9 � � � � � p ( t )=31 t 3 −3 t 2 +9 t . When is the particle at rest? 0 / 1 point Incorrect 7. Question 7 A rock is dropped from the top of a 320-foot building. The height of the rock at time � t is given ( )=−8 2+320 � � � s ( t )=−8 t 2 +320 , where � t is measured in seconds. Find the speed (that is, the absolute value of the velocity) of the rock when it hits the ground in feet per second. Round your answer to one decimal place. 0 / 1 point Incorrect 8.