Answer:
Step-by-step explanation:
There is a point V with ration 6 to 2, therefore we must find the coordinates of point V and the distance from A to V
<u>According to the graph</u>
α≅27°
V=2*8.94/6 (ratio 6:2)
V=2.98mile
coordinates of V = (2,65;1.35)
Distance from A to V
finally
Mary's mistake is to take the 6 to 2 ratio as the distance traveled from the globe only in the x direction
Answer:
1.2%
Step-by-step explanation:
We know that for every 500 computers, 6 are defective. So, to know what percentage of computers are defective on average, we can do a rule of three:
500 computers -> 6 defective
100 computers -> X defective
500/100 = 6/X
X = 100 * 6 / 500 = 1.2
So, in average, for every 100 computers, 1.2 are defective, so the percentage is 1.2% (1.2 for every 100)
U(x) = f(x).(gx)
v(x) = f(x) / g(x)
Use chain rule to find u(x) and v(x).
u '(x) = f '(x) g(x) + f(x) g'(x)
v ' (x) = [f '(x) g(x) - f(x) g(x)] / [g(x)]^2
The functions given are piecewise.
You need to use the pieces that include the point x = 1.
You can calculate f '(x) and g '(x) at x =1, as the slopes of the lines that define each function.
And the slopes can be calculated graphycally as run / rise of each graph, around the given point.
f '(x) = slope of f (x); at x = 1, f '(1) = run / rise = 1/1 = 1
g '(x) = slope of g(x); at x = 1, g '(1) = run / rise = 1.5/ 1 = 1.5
You also need f (1) = 1 and g(1) = 2
Then:
u '(1) = f '(1) g(1) + f(1) g'(1) = 1*2 + 1*1.5 = 2 + 1.5 = 3.5
v ' (x) = [f '(1) g(1) - f(1) g(1)] / [g(1)]^2 = [1*2 - 1*1.5] / (2)^2 = [2-1.5]/4 =
= 0.5/4 = 0.125
Answers:
u '(1) = 3.5
v '(1) = 0.125
Answer: point V' is located at (3,-1)
