For each example below, find the values of the parameters so that the function satisfies the differential equation. If there is more than one correct value, separate them by commas (e. g. 3,2). enclosing them in "curlies" (e. g. {3,2}) is optional. a. y(x) = xr satisfies y' = 9y/x if r =b. y(x) = xr satisfies y' = â11y/x if r =c. y(x) = ex+rx+sx2 satisfies y'' â y' = 4x if r = , and s =d. y(x) = erx+sx satisfies y'' â 4y= x if r = , and s =

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Find the coordinates of point x that lies along the directed line segment from y(-8, 8) to t(-15, -13) and partitions the segment in the ratio of 5: 2.

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.