Answer:
The diameter decreases at a rate of 0.053 cm/min.
Step-by-step explanation:
Surface area of an snowball
The surface area of an snowball has the following equation:
In which d is the diameter.
Implicit differentiation:
To solve this question, we differentiate the equation for the surface area implictly, in function of t. So
Surface area decreases at a rate of 3 cm2/min
This means that 
Tind the rate (in cm/min) at which the diameter decreases when the diameter is 9 cm.
This is 
when 
. So
The diameter decreases at a rate of 0.053 cm/min.
Answer:
Step-by-step explanation:
The rate of change of the situation is known as the slope:
Slope = Δy/Δx
Slope = y2-y1/x2-x1
From the graph, x2 = 10.5, x1 = 0. y2 = 32, y1 = 0
Slope = 32-0/10.5-0
Slope = 32/10.5
Slope = 3.047
Hence the rate of change is 3.047 ounces per minutes and the situation represents the slope of the graph.
Answer:
8.82
Step-by-step explanation:
subtotal- 88.24
total- 92.65
total with tip-111.18
change- 8.82
The function 
sits with its starting point at the origin. The function 
is translated h units to the left or right and k units up or down. Since our radicand, the value under the square root sign, is x+7, putting that into our standard form it would be x-(-7) because minus a negative is a positive. So we move the parent graph to the left (-7 moves to the left) 7 units. There is no number k so our function is not moving up or down. Only to the left 7.
Answer:
5: given y=2x-2 new y=2x+2
6: given y=-1/4x+4 new y=-1/4x+7
Step-by-step explanation:
