use elimination or substitution method
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(2xy + y2 = 10 3y2 - xy = 2
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thst Xmnd Y Lal XY be randem variobles; preve indepndent f) = giag,4 Where ake b, cxydihIR
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dy Use implicit differentiation to find dx 3y2 2x-5 2x + 5 dy dx =
Sketch the region in the xy-plane defined by the inequalities x - 3y2 2 0, 2 x - 5lyl 2 0 and find its area.
Sketch the region in the xy-plane defined by the inequalities x - 3y2 2 0, 2 x - 5lyl 2 0 and find its area.
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Find the Ivesm s) of the general F(S)= IIS-los +100 Your answer should be a fonction of retns fom tncton 1 t( 2
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V= i + 3y + 2k The angle this vector makes with the xy-plane is approximately 16.6° 19.7° 66.2° o 73.4° Which of the following vector fields in the plane is conservative? O F(x,y) = (2xy)i + (3y2); F(x,y) = (- x2y)i + (2xy?) O F(x,y) = (3xy?)i + (6xy)j F(x,y) = (5x2y3)i + (10xy?) The curve defined by r(t) = (t, 4t, 8t) from t=0 to...
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Section B: Answer any 3 questions out of 4, each question carries 20 marks. Bl. When the system shown in figure (ə) is subjected to a unit-step input, the system output responds as shown in figure (b). Determine the values of K and T from the response curve. R(S) MTs + 1 (a) co 0.254
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5.2.18-T Question Help Use the normal distribution to the right to answer the questions Standardized Test Composite Scores 19.5 (a) What percent of the scores are less than 19? (b) Out of 1500 randomly selected scores, about how many would be expected to be greater than 21? 52 (a) The percent of scores that are less than 19 is 46.10 % (Round to two decimal places as needed) (b) About 576...
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20 points Let ä - 6 - 7x=0. (a) Verify xy(t) = e" and xy(t) = e-- are solutions. I (b) Prove S = {x1, x2} is a linearly independent set of solutions.
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47) Draw out the reaction mechanism for a Fischer esterification reaction with ethanol and benzoic acid in hot acidic conditions. Name the products. 48) Draw out the reaction mechanism for a Fischer esterification reaction when 5-hydroxyhexanoic acid is heated. Name the products if you feel ambitious.