Question

help woth 5 a,b,c

5. The side of a cylindrical can full of water springs a leak, and the water begins to stream out. The depth H, in inches, of water remaining in the can is a function of the distance D in inches (measured from the base of the can) at which the stream of water strikes the ground. Here is a table of values of D and H. Distance D in inches Depth H in inches 1.00 1 1.25 2 2.00 3 3.25 4 5.00 a. Find the formula for H as a quadratic function of D. b. When the depth is 3 inches, how far from the base of the can will the water stream strike the ground? Find the formula for H as a quadratic function of D. a. b. When the depth is 3 inches, how far from the base of the can will the water stream strike the ground? c. When the water stream strikes the ground 3.5 inches from the base of the can, what is the depth of water in the can?

Answer 1

Solution- 5

Sut (5) lel the formula aD't b Dt C one numbors and ato Aussilidiny the value of Hond Lhe tabl ier th akne eusha whire a,b/c Now Wre wm D-O H=1.00, 1.00 a (ort b Co) t c 1.25 -aCi)t bi)+C a tbt 1 at6 +1-r at b C-1.00 ahn Del, H2 1-23 ) 1.25 e 1.25-1 2S at b 2o.2 Wwn De2,H-2-00 a C2)t b2)+c 4at 2b+1 2-1-4a 26 +*-P 2.00 & Arm e 03. 2 1 4a + 26 hay D3, H 3- a (3)t 6 (3)+ C 3.25 9a + 3b + } 9at 3b tx- -99+ 36 9at 3b: 2.25 3.25 3.28- 2-25 C. 25-a), substiuking get 2 6.25-a) 4440.5-2a-1 the valne b e1 We 4a t 2a -1-0 S 2015 0.25 ano.5 aco.25

sahstilanliny azo2 in e we b o 2 pntting the vaues of a, and c, we H -0.25D+ OD t whm H 3 mcher ha frem (b e(s O25D t 3 3-120 25 Dtr 2. D Or24 D =2.83 mchs