Solve the problem.The position of an object moving in a straight line is given by s = 2t2 - 3t, where s is the distance in meters and t is the time in seconds the object has been in motion. How long (to the nearest tenth) will it take the object to move 6 meters?

A. 5.4 sec
B. 2.4 sec
C. 7.0 sec
D. 2.6 sec


Answer: D

Mathematics

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Find all the first order partial derivatives for the following function.f(x, y) = ln yx

A.  = ln y;  = - xln y
B.  = xln y;  = - 
C.  = ln y;  =  
D.  = 0;  = - 

Mathematics

Solve the problem.The volume of water added to a circular drum of radius r is given by Vw = 25t, where Vw is volume in cu ft and t is time in sec. Find the depth of water in a drum of radius 6 ft after adding water for 18 sec. (Round result to one decimal place.)

A. 2.0 ft B. 4.0 ft C. 12.6 ft D. 8.0 ft

Mathematics

Perform the indicated operations and simplify the result. Leave the answer in factored form. ÷ 

A. x - 6
B.  
C.
D.

Mathematics

Determine whether the function’s vertex is a maximum point or a minimum point and find the coordinates of this point. Round your answer to two decimal places, if necessary.

y = x²+8x+7

Mathematics