MAT 146 Midterm: MAT 146 Illinois State Testfepart02F14
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Questions (17) through (26) are each worth 5 points. _________________________: the graph of a 7th-degree polynomial function y = w(x) is shown here. Use it to determine responses to questions (a) through (e). _________________________: the curve h, graphed here, is identified by the equation 3xy + y. Momjab claims that h is a solution to the differential equation dy dx. 3x + 2 y (a) determine every ordered pair (x,y) at which h will have a horizontal tangent. Provide evidence for your findings. (3 pts) (b) imagine (or sketch one here!) a slope field associated with momjab"s differential equation. Use that image to write the equation of the line in the xy-plane that holds all the ordered pairs where the slope field would show undefined slope. (2 pts) ______________________: determine the exact area of the region r in the 1st quadrant bounded by the curves y =