Implicit differentiation: 2x+2ydy/dx-6-4dy/dx=0. When dy/dx=0, we have a horizontal tangent.
So 2x-6=0 and x=3. To find y we solve 9+y²-18-4y=-4, y²-4y-5=0=(y-5)(y+1), so the points are (3,5) and (3,-1).
2xdx/dy+2y-6dx/dy-4=0. When dx/dy=0 we have a vertical tangent, so 2y=4, y=2, and x²+4-6x-8=-4, x²-6x=0, x=0 and 6.
The points are (0,2) and (6,2).
9514 1404 393
Answer:
350,000
Step-by-step explanation:
The vertex of the quadratic ax²+bx+c is located at x=-b/(2a). For the given profit function, the number of units (x) that will produce maximum profit is ...
x = -(140)/(2(-0.0002)) = 1,400,000/4
x = 350,000
350,000 units should be sold to maximize profit.
Mean = Average
High average = +114.2 F
Low average = -36.8 F
Mean of the extreme and low temperatures = +38.7 F
Step-by-step explanation:
The formula for probability is favourable outcome/ Total outcome. So the answer might be 7/30.
