In Problems 57 – 62 , set up a definite integral that represents the area bounded by the graphs of the indicated equations over the given interval . Find the areas to three decimal places . [Hint: A circle of radius r , with center at the origin , has equation x 2 + y 2 = r 2 and area π r 2 ]. 62. y = − 100 − x 2 ; y = 100 − x 2 ; − 10 ≤ x ≤ 10
In Problems 57 – 62 , set up a definite integral that represents the area bounded by the graphs of the indicated equations over the given interval . Find the areas to three decimal places . [Hint: A circle of radius r , with center at the origin , has equation x 2 + y 2 = r 2 and area π r 2 ]. 62. y = − 100 − x 2 ; y = 100 − x 2 ; − 10 ≤ x ≤ 10
Solution Summary: The author explains how the area bounded by the graphs of the equation is 314.159 square unit.
In Problems 57–62, set up a definite integral that represents the area bounded by the graphs of the indicated equations over the given interval. Find the areas to three decimal places. [Hint: A circle of radius r, with center at the origin, has equation x2 + y2 = r2 and area πr2].
62.
y
=
−
100
−
x
2
;
y
=
100
−
x
2
;
−
10
≤
x
≤
10
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
The second solution I got is incorrect.
What is the correct solution? The
other thrree with checkmarks are
correct
Question 19
Score on last try: 0.75 of 1 pts. See Details for more.
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Solve 3 sin
2 for the four smallest positive solutions
0.75/1 pt 81 99 Details
T=
1.393,24.666,13.393,16.606
Give your answers accurate to at least two decimal places, as a list separated by commas
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Two cables tied together at C are loaded as shown. Given: Q = 130 lb.
8
30°
C
B
Q
3
4
Draw the free-body diagram needed to determine the range of values of P for which both cables remain taut.
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Numerical Integration Introduction l Trapezoidal Rule Simpson's 1/3 Rule l Simpson's 3/8 l GATE 2021; Author: GATE Lectures by Dishank;https://www.youtube.com/watch?v=zadUB3NwFtQ;License: Standard YouTube License, CC-BY