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# Note for MATH 1310 at UH

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This 1 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at University of Houston taught by a professor in Fall. Since its upload, it has received 20 views.

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Date Created: 02/06/15
Exercise Set 35 Maximum and Minimum Values For each of the quadratic functions given below a Complete the square to write the equation in b C d 10 11 12 13 14 15 16 the standard form fx ax h2 k State the coordinates of the vertex of the parabola Sketch the graph of the parabola State the maximum or minimum value of the function and state whether it is a maximum or a minimum fx x2 6x 7 fxx278x21 fxx272x fxx210x fx2x278xll fx3x2l8x15 fx7x278x79 fx 7x2 4x77 fx4x2740x115 fx5x2710x8 fx72x278x714 fx 74x2 24x7 27 fx x2 75x3 fxx27xil fx 273x74x2 fx77ci3c2 For each of the quadratic functions given below a b 17 18 Find the vertex h k of the parabola by using the formulas h 2 a and k f i State the maximum or minimum value of the function and state whether it is a maximum or a minimum fxx2712x50 fx7x2l4x710 19 20 21 22 23 24 fx72x216x79 fx3x2712x29 fxx23xl fx x2 77x 2 fx 72x2 9x 3 fx76x2x75 For each of the following problems find a quadratic function satisfying the given conditions 25 26 27 28 Vertex 2 75 39 passes through 7 70 Vertex 71 78 39 passes through 210 Vertex 5 7 39 passes through 3 4 Vertex 74 3 39 passes through 113 Answer the following 29 30 31 Two numbers have a sum of 10 Find the largest possible value of their product Jim is beginning to create a garden in his back yard He has 60 feet of fence to enclose the rectangular garden and he wants to maximize the area of the garden Find the dimensions Jim should use for the length and Width of the garden Then state the area of the garden A rocket is fired directly upwards with a velocity of 80 ftsec The equation for its height H as a function of time I is given by the function Ht716t2 801 a Find the time at which the rocket reaches its maximum height b Find the maximum height of the rocket A manufacturer has determined that their daily profit in dollars from selling x machines is given by the function Px 720050x701x2 Using this model What is the maximum daily profit that the manufacturer can expect

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