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Mathematics, 21.06.2019 22:10
Given: ae β
ce ; de β
be prove: abcd is a parallelogram. we have that ab || dc. by a similar argument used to prove that β³aeb β
β³ced, we can show that β³ β
β³ceb by. so, β cad β
β by cpctc. therefore, ad || bc by the converse of the theorem. since both pair of opposite sides are parallel, quadrilateral abcd is a parallelogram.
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Mathematics, 21.06.2019 23:00
Is there a direction u in which the rate of change of f(x,y)equals=x squared minus 3 xy plus 4 y squaredx2β3xy+4y2 at p(1,2) equals 14? give reasons for your answer. choose the correct answer below. a. no. the given rate of change is smaller than the minimum rate of change. b. no. the given rate of change is larger than the maximum rate of change. c. yes. the given rate of change is larger than the minimum rate of change and smaller than the maximum rate of change.
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