E^2=0.36 take the square root of both sides
e=±0.6
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y = x + 2
y = -3x
Do y = -3x in y = x + 2
y = x + 2
-3x = x + 2
-3x - x = 2
-4x = 2
x = -2/4
x = -1/2
Now put x = -1/2 in y = -3x
y = -3x
y = -3.(-1/2)
y = 3/2
F(x) is continuous for all x.
Pick a point and show that f(x) is either negative or positive. Pick another point and show that f(x) is negative, if positive, or positive, if negative.
At x = 30, f(30) - 1000 = 900 + 10sin(30) - 1000 ≤ 0
Now, show at another point f(x) - 1000 is positive, and hence, there would be root between 30 and such point.
Let's pick 40.
At x = 40, f(40) - 1000 = 1600 + 10sin(40) - 1000 ≥ 0
Since f(x) - 1000 is continuous, there lies a root between 30 and 40, and hence, 30 ≤ c ≤ 40
The answer is 1.25 meters.
hope it helps
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