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D Find the two numbers whose sum is 28 and the product is maximum.
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| D Find two numbers whose difference is 12 and their product is minimum. D |
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D Find two numbers whose sum is 28 and product is a maximum.
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D Find two numbers whose difference is 48 and product is a minimum.
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| D Find the equation of the axis of symmetry, the coordinates of the vertex, and the x - and y - intercepts for the function y = x2 + 6x + 9. D |
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D Find the equation of the axis of symmetry, the coordinates of the vertex, and the x - and y - intercepts for the function y = - x2 + 14x.
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D Find the equation of the axis of symmetry, the coordinates of the vertex, and the x - and y - intercepts for the function y = x2 + 4x - 32.
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D Find the equation of the axis of symmetry, the coordinates of the vertex, and the x - and y - intercepts for the function y = 14x2-74 x + 3.
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D Check if the function y = - x2 + 6x + 6 has a maximum or minimum value. Find that value.
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D Check if the function y = 5x2 - 6x - 4 has a maximum or minimum value. Find that value.
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| D Check if the function y = - 5x2 + 7 has a maximum or minimum value. Find that value. D |
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D Check if the function y = 2x2 + 4x has a maximum or minimum value and find that value.
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D For what values of a and b, the function y = ax2 + bx - 15 will have its vertex at (4, -47)?
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D For what values of a and b, the function y = ax2 + bx + 8 will have its vertex at (- 7, -188)?
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D For what values of a and b, the function y = ax2 + bx will have its vertex at (- 6, -2167)?
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D Brian is planning to build a fence around his rectangular garden. Brian has 112 m of fencing. What should be the dimensions of the garden that make its area a maximum, if Brian wants to leave a 12 m opening on one side of the garden for a gateway?
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D For what values of b and c, the function y = 8x2 + bx + c will have its vertex at the intersection of the x - axis and the line x = 4?
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D The bottom of a box has to have a perimeter of 72 cm. The box must be 13 cm high. Find the dimensions (length and width) that would give the maximum volume.
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D A projectile is fired straight up from ground level. Its height h above the ground after t seconds is given by h = - 2t2 + 20t. Find when the projectile will reach its maximum height of 50 feet.
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D Find the two numbers whose sum is 26 and the product is maximum.
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D Find two numbers whose sum is 24 and product is a maximum.
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D Find two numbers whose difference is 50 and product is a minimum.
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D Find the equation of the axis of symmetry, the coordinates of the vertex, and the x - and y - intercepts for the function y = - x2 + 8x.
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| D Find the equation of the axis of symmetry, the coordinates of the vertex, and the x - and y - intercepts for the function y = x2 + 4x + 4. D |
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D Check if the function y = - x2 + 8x + 9 has a maximum or minimum value. Find that value.
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D Check if the function y = 9x2 - 10x - 8 has a maximum or minimum value. Find that value.
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D Find the equation of the axis of symmetry, the coordinates of the vertex, and the x - and y - intercepts for the function y = x2 + 4x - 60.
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D Find the equation of the axis of symmetry, the coordinates of the vertex, and the x - and y - intercepts for the function y = 12x2-32 x + 1.
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| D Check if the function y = - 3x2 + 2 has a maximum or minimum value. Find that value. D |
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D Check if the function y = 5x2 + 40x has a maximum or minimum value and find that value.
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D For what values of a and b, the function y = ax2 + bx - 22 will have its vertex at (2, -42)?
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D A company's profit is given by P = - 14x2 + 196x + 252 where x is the price of the product in dollars. Find the price that would produce the maximum profit.
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D For what values of a and b, the function y = ax2 + bx + 4 will have its vertex at (- 2, -4)?
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D For what values of a and b, the function y = ax2 + bx will have its vertex at (- 9, -72910)?
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D For what values of b and c, the function y = 5x2 + bx + c will have its vertex at the intersection of the x - axis and the line x = 3?
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D Henry is planning to build a fence around his rectangular garden. Henry has 104 m of fencing. What should be the dimensions of the garden that make its area a maximum, if Henry wants to leave a 8 m opening on one side of the garden for a gateway?
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| D Sketch the graph of the given equation: y = - 4x2 - 16x - 7 D |
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D The bottom of a box has to have a perimeter of 64 cm. The box must be 11 cm high. Find the dimensions (length and width) that would give the maximum volume.
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D A projectile is fired straight up from ground level. Its height h above the ground after t seconds is given by h = - 3t2 + 12t. Find when the projectile will reach its maximum height of 12 feet.
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D Mark needed to fence a piece of land adjacent to a freeway. The edge adjacent to the freeway was already fenced. So he wanted to fence the other three sides. The cost of fencing material for the side parallel to the existing fence is $90 per yard and for the other two sides it costs $30 per yard. He has $18000 to be spent for fencing material. Find the dimensions of the land of largest possible area he can fence with the available amount.
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| D Find two numbers whose difference is 22 and their product is minimum. D |
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D A company's profit is given by P = - 17x2 + 238x + 340 where x is the price of the product in dollars. Find the price that would produce the maximum profit.
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D Find the number which exceeds its positive square root by 42.
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