The indefinite integral will be 
<h3 /><h3>what is indefinite integral?</h3>
When we integrate any function without the limits then it will be an indefinite integral.
General Formulas and Concepts:
Integration Rule [Reverse Power Rule]:
Integration Property [Multiplied Constant]:
Integration Property [Addition/Subtraction]:
![\int [f(x)\pmg(x)]dx=\int f(x)dx\pm \intg(x)dx](https://tex.z-dn.net/?f=%5Cint%20%5Bf%28x%29%5Cpmg%28x%29%5Ddx%3D%5Cint%20f%28x%29dx%5Cpm%20%5Cintg%28x%29dx)
[Integral] Rewrite [Integration Property - Addition/Subtraction]:
[Integrals] Rewrite [Integration Property - Multiplied Constant]:
[Integrals] Reverse Power Rule:
Simplify:
So the indefinite integral will be
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60 = a * (-30)^2
a = 1/15
So y = (1/15)x^2
abc)
The derivative of this function is 2x/15. This is the slope of a tangent at that point.
If Linda lets go at some point along the parabola with coordinates (t, t^2 / 15), then she will travel along a line that was TANGENT to the parabola at that point.
Since that line has slope 2t/15, we can determine equation of line using point-slope formula:
y = m(x-x0) + y0
y = 2t/15 * (x - t) + (1/15)t^2
Plug in the x-coordinate "t" that was given for any point.
d)
We are looking for some x-coordinate "t" of a point on the parabola that holds the tangent line that passes through the dock at point (30, 30).
So, use our equation for a general tangent picked at point (t, t^2 / 15):
y = 2t/15 * (x - t) + (1/15)t^2
And plug in the condition that it must satisfy x=30, y=30.
30 = 2t/15 * (30 - t) + (1/15)t^2
t = 30 ± 2√15 = 8.79 or 51.21
The larger solution does in fact work for a tangent that passes through the dock, but it's not important for us because she would have to travel in reverse to get to the dock from that point.
So the only solution is she needs to let go x = 8.79 m east and y = 5.15 m north of the vertex.
Answer:
18.86 feet
Step-by-step explanation:
One rotation of the tire is equal to the circumference of the tire
The formula for circumference of a circle (remember that a tire is shaped as a circle) = πd
where
π = 22/7
d = diameter
The size of one revolution = 2 x 22/7 = 44/7 feet
The distance covered in one rotation of the tire is 44/7 feet
The distance covered in 3 rotations = (44/7) x 3 = 18.86 feet
Answer:
D. 60= 100 % therefore, 45 would equal 75 %.The answers D. Hope this helps!
Step-by-step explanation:
Answer:
2.2
Step-by-step explanation:
2.189 to 2 significant figures is 2.2
