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Which of the following should be used to minimize the distance between y = Vx + 3 and the point (1, 2)? The function to minimize is D = \\ (1 - x)~ + (2 - v(x + 3) 2 The function to minimize is D = \\ (1 - x)~ + (2+ v(x + 3) The function to minimize is D = V (1 - x)2 + (2 - y)2+ 3 The function to minimize is D = \\ (1 - x)~ + (2 - 9x2) 2Which of the following should be used to minimize the lateral surface area of a cone. where the volume of the cone is 250 cm3? 2 V = :rr3h .Surfaceareaofaconeiszs = 11:1" \\/l'2 + 112 O The function to minimize is S = 751' ['2 _ ( :53 )2 0 The function to minimize is S = 1'2 + (g )2 O The function to minimize is S = 7:1" 1'2 + ( :53 )2 O The function to minimize is S = 1'2 + (g )2 Which equation below will maximize the area of the following triangle given that x + y = 16? Z X O A = -(x+x2 ) O A = 8x+ ~x2 O A = 8x - 1x2 O A = 8(x + x2)Given y = x + 3, what is the closest point to (1, 2)? O The point on y = x + 3 which is closest to (1, 2} is (1, D). O The point on y = x + 3 which is closest to {1, 2} is (0, 3). O The point on y = x + 3 which is closest to {1, 2} is (0, 1). O The point on y = x + 3 which is closest to (1, 2} is (1, 3}. Given the area of a rectangle is A = bh. and the perimeter of the rectangle is 2b + 2h = 26, maximize the area of the rectangle. O h = 7.25. b = 7.0 O h=6.5.b=8.5 O h=7.5.b=8.0 O h=7.0.b=6.0 Maximize the lateral surface area of an inverted cone, if V = 100 cm3. S = arvr2 + h2 V = arh = 100 3 h O r = 4.07, h = 5.76 O r = 4.50, h = 6.50 O r= 4.52, h = 6.75 O r = 4.07, h = 5.86What point or points on the parabola y = x2+ 2 2 are closest to the point (0, 2)? o (0, 1.25) o (0, 1) o (1.5, 2.0) o (1.6, 1.86) and (-1.6, 1.86)The first stage Of a model rocket's liftoff lasts 5 seconds. and during that time its velocity in meters per second is measured as 12(3) = {41' +' ' 3' + 6. What time does the rocket reach its maximum acceleration? O 0 O 1.155 O 7.732 0 10.796 It 1200 cm2 of material is available to make a box with a square base and an open top, what is the maximum volume the box could be made to contain? 0 400 cm\"I O 2828 cm\"I O 4000 cm' 0 5200 cm' A company's expenses can be modeled by the equation E (n) = 175 + n + iE, where E is measured in dollars and n is the number, in hundreds. of items produced. How many items should the company produce to minimize expense. and what would that expense be? 0 3 items at $179 0 10 items at $176 0 100 items at $203 0 300 items at $179