|
Click on a 'View Solution' below for other questions:
|
f Find the two numbers whose sum is 28 and the product is maximum.
f |
View Solution |
|
| f Find two numbers whose difference is 12 and their product is minimum. f |
View Solution |
|
f Find two numbers whose sum is 28 and product is a maximum.
f |
View Solution |
|
f Find two numbers whose difference is 48 and product is a minimum.
f |
View Solution |
|
| cc 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. cc |
View Solution |
|
cc 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.
cc |
View Solution |
|
cc 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.
cc |
View Solution |
|
cc 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.
cc |
View Solution |
|
cc Check if the function y = - x2 + 6x + 6 has a maximum or minimum value. Find that value.
cc |
View Solution |
|
cc Check if the function y = 5x2 - 6x - 4 has a maximum or minimum value. Find that value.
cc |
View Solution |
|
| cc Check if the function y = - 5x2 + 7 has a maximum or minimum value. Find that value. cc |
View Solution |
|
cc Check if the function y = 2x2 + 4x has a maximum or minimum value and find that value.
cc |
View Solution |
|
cc For what values of a and b, the function y = ax2 + bx - 15 will have its vertex at (4, -47)?
cc |
View Solution |
|
cc For what values of a and b, the function y = ax2 + bx + 8 will have its vertex at (- 7, -188)?
cc |
View Solution |
|
cc For what values of a and b, the function y = ax2 + bx will have its vertex at (- 6, -2167)?
cc |
View Solution |
|
cc 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?
cc |
View Solution |
|
cc 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?
cc |
View Solution |
|
cc 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.
cc |
View Solution |
|
cc 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.
cc |
View Solution |
|
cc Find the two numbers whose sum is 26 and the product is maximum.
cc |
View Solution |
|
cc Find two numbers whose sum is 24 and product is a maximum.
cc |
View Solution |
|
cc Find two numbers whose difference is 50 and product is a minimum.
cc |
View Solution |
|
cc 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.
cc |
View Solution |
|
| cc 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. cc |
View Solution |
|
cc Check if the function y = - x2 + 8x + 9 has a maximum or minimum value. Find that value.
cc |
View Solution |
|
cc 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.
cc |
View Solution |
|
cc Check if the function y = 9x2 - 10x - 8 has a maximum or minimum value. Find that value.
cc |
View Solution |
|
cc 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.
cc |
View Solution |
|
cc 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.
cc |
View Solution |
|
| cc Check if the function y = - 3x2 + 2 has a maximum or minimum value. Find that value. cc |
View Solution |
|
cc Check if the function y = 5x2 + 40x has a maximum or minimum value and find that value.
cc |
View Solution |
|
cc For what values of a and b, the function y = ax2 + bx - 22 will have its vertex at (2, -42)?
cc |
View Solution |
|
cc For what values of a and b, the function y = ax2 + bx + 4 will have its vertex at (- 2, -4)?
cc |
View Solution |
|
cc For what values of a and b, the function y = ax2 + bx will have its vertex at (- 9, -72910)?
cc |
View Solution |
|
cc 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?
cc |
View Solution |
|
cc 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?
cc |
View Solution |
|
| cc Sketch the graph of the given equation: y = - 4x2 - 16x - 7 cc |
View Solution |
|
|
|
|
|
cc Sketch the graph of y = (12)x2 - (32)x + (14).
cc |
View Solution |
|
cc 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.
cc |
View Solution |
|
cc 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.
cc |
View Solution |
|
cc 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.
cc |
View Solution |
|
cc 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.
cc |
View Solution |
|
| cc Find two numbers whose difference is 22 and their product is minimum. cc |
View Solution |
|
cc Find the number which exceeds its positive square root by 42.
cc |
View Solution |
|