Answer:
a. Practically speaking, you compute the differential in much the same way you compute a derivative via implicit differentiation, but you omit the variable with respect to which you are differentiating.
Aside: Compare this to what happens when you differentiate both sides with respect to some other independent parameter, say :
b. This is just a matter of plugging
Step-by-step explanation:
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Answer:
y = (1/2)x + 1
Step-by-step explanation:
linear line equation is y = mx + b
Where m is the slope and b is the y-intercept when x is 0.
For m, m is change in y(delta y) over change in x(delta x).
We are given two points: (0,1) and (4,3).
m = (y2 - y1)/(x2 - x1) = (3-1)/(4-0) = 2/4 = 1/2
y = (1/2)x + b
Now plug in (0,1) into above equation to find b value.
1 = (1/2)0 + b => b = 1
Final equation is y = (1/2)x + 1
Answer:
1- $ 0.25.
2- $ 26.25.
3- $ 1.73.
Step-by-step explanation:
1- Given that a bag of 12 oranges costs $ 2.99, to determine what is the cost per orange, the following calculation must be performed:
2.99 / 12 = X
0.249 = X
Thus, the cost of each orange is $ 0.25.
2- Given that 4 slices of pizza cost $ 10.50, to determine what is the cost of 10 slices of pizza at this rate, the following calculation must be performed:
10.5 / 4 x 10 = X
2.625 x 10 = X
26.25 = X
Thus, the cost of 10 slices of pizza is $ 26.25.
3- Given that 4 pieces of candy cost $ 0.99, to determine what is the cost of 7 pieces of candy at this rate, the following calculation must be performed:
0.99 / 4 x 7 = X
0.2475 x 7 = X
1.7325 = X
Thus, the cost of 7 pieces of candy is $ 1.73.
