If a room temperature roast cools from 68°F to 25°F in 5 hours at freezer temperature of 20°F, how long (to the nearest hour) will it take the roast to cool to 21°F?

1.  Choose the appropriate table for the differential equation dy dx equals the quotient of the x and quantity x minus 2 . (4 points)
 
x 0 0.5 2
dy over dx 0 negative one third undefined
x 0 0.5 2
dy over dx undefined -1 undefined
x 0 0.5 2
dy over dx 0 -3 0
Cannot be found without solving the differential equation
2.  A differential equation that is a function of x only (4 points)
 
will produce a slope field with parallel tangents along the diagonal
will produce a slope field that does not have rows or columns of parallel tangents
will produce a slope field with rows of parallel tangents
will produce a slope field with columns of parallel tangents
3.  The differential equation dy dx equals the quotient of x and y squared . (4 points)

I.will have a slope field with negative slopes in quadrant I II.will have a slope field with positive slopes in all quadrants III.will produce a slope field with columns of parallel tangents

 
I only
II only
III only
None of these
4.  Which of the following differential equations is consistent with the following slope field?

In quadrant one, all slopes are positive. Greater values of y have slopes approaching horizontal and y less than 1 have slopes approaching vertical. For quadrant two slopes are negative with slopes approaching horizontal for greater values of y. Quadrant three also has all negative slopes. Larger negative values of y have slopes approaching horizontal. All slopes are positive in quadrant four. (4 points)

 
dy over dx equals x divided by y squared
dy over dx equals x divided by y
dy over dx equals x squared divided by y
dy over dx equals x squared divided by y squared
5.  The differential equation dy dx equals the product of 2 times x and the quantity 4 minus y . (4 points)

I. produces a slope field with horizontal tangents at y = 4 II. produces a slope field with horizontal tangents at x = 0 III. produces a slope field with vertical tangents at x = 0 and y = 4

 
I only
II only
I and II
III only

Strawberries

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