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).
I'll help out. There are seven kittens so 7 and they all weight less than 3.5 ounces. Try 7x3.5. That is 24.5. There's a possible value. 24.5 ounces. :)
(7x3.5=24.5oz)
10 units up means to add 10 to the y-coordinate of the vertex (h, k).
p(x) = 0.005(x - 40)² + 60
p(x) shifted up 10 units = 0.005(x - 40)² + (60 + 10)
q(x) = 0.005(x - 40)² + 70
Answer:
The right answer is:
(a) 0.205
(b) 0.005425
Step-by-step explanation:
The given data is:
0.213, 0.204, 0.208, 0.200, and 0.198
(a)
The mean will be:
= 
= 
= 
= 
or,
= 
(b)
The standard deviation will be:
or,
