Range: the set of all y-values of a graph or equation.
Y-intercept: the y-value where the graph intersects the y-axis.
Domain: the set of all x-values of a graph or equation.
X-intercept: the x-values where the graph intersects the x-axis.
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Answer:
65.12 mm
Step-by-step explanation:
Circumference of semicircle = 8π mm
Perimeter = (40 + 8π) = 65.12 mm
To get the extrema, derive the function.
You get y' = 2x^-1/3 - 2.
Set this equal to zero, and you get x=0 as the location of a critical point.
Since you are on a closed interval [-1, 1], those points can also have an extrema.
Your min is right, but the max isn't at (1,1). At x=-1, you get y=5 (y = 3(-1)^2/3 -2(-1); (-1)^2/3 = 1, not -1).
Thus, the maximum is at (-1, 5).
Answer:
11) Here given Function,
And, 
For f(x) = g(x)
When we solve this equation,
We found,
x = 12.5227 ≈ 12.53
Thus, the required solution is, x = 12.53
12) Here the height of rocket A in x second,
And, The height gain by the rocket B in x seconds,
If at x seconds both A and B gain the same height,
That is, f(x) = g(x)
⇒ 
⇒
⇒ 
⇒ 
⇒ x = 1.125 ≈ 1.13
Thus, the required solution is x = 1.13 seconds (approx)
