For the following exercises, solve using calculus, then check your answer with geometry. 57. Find the area between the perimeter of the unit circle and the triangle created from y = 2 x + 1 , y = 1 − 2 x and y = − 3 5 , as seen in the following figure. Is there a way to solve this without using calculus?
For the following exercises, solve using calculus, then check your answer with geometry. 57. Find the area between the perimeter of the unit circle and the triangle created from y = 2 x + 1 , y = 1 − 2 x and y = − 3 5 , as seen in the following figure. Is there a way to solve this without using calculus?
For the following exercises, solve using calculus, then check your answer with geometry.
57. Find the area between the perimeter of the unit circle and the triangle created from
y
=
2
x
+
1
,
y
=
1
−
2
x
and
y
=
−
3
5
, as seen in the following figure. Is there a way to solve this without using calculus?
The formula v=√2.3r=models the maximum safe speed, v, in miles per hour, at which a car can travel on a curved road with radius of curvature rr, in feet. A highway crew measures the radius of curvature at an exit ramp on a highway as 510 feet. What is the maximum safe speed? Give your answer to two decimal places.
Max safe speed =
Bicycle mechanics Refer to Exercise 52. An expert cyclist
can attain a speed of 40 mi/hr. If the sprocket assembly has
r = 5 in., r2 = 2 in., and the wheel has a diameter of
28 inches, approximately how many revolutions per minute
of the front sprocket wheel will produce a speed of
40 mi/hr? (Hint: First change 40 mi/hr to in./sec.)
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Area of a Rectangle, Triangle, Circle & Sector, Trapezoid, Square, Parallelogram, Rhombus, Geometry; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=JnLDmw3bbuw;License: Standard YouTube License, CC-BY