(a) The points of intersection for the circle x 2 + y 2 = 4 and the line y = x + 2 are _______ and _______ . (b) Expressed as a definite integral with respect to x _______ , gives the area of the region inside the circle x 2 + y 2 = 4 and above the line y = x + 2 . (c) Expressed as a definite integral with respect to y , _______ gives the area of the region described in part (b).
(a) The points of intersection for the circle x 2 + y 2 = 4 and the line y = x + 2 are _______ and _______ . (b) Expressed as a definite integral with respect to x _______ , gives the area of the region inside the circle x 2 + y 2 = 4 and above the line y = x + 2 . (c) Expressed as a definite integral with respect to y , _______ gives the area of the region described in part (b).
(a) The points of intersection for the circle
x
2
+
y
2
=
4
and the line
y
=
x
+
2
are
_______
and
_______
.
(b) Expressed as a definite integral with respect to
x
_______
, gives the area of the region inside the circle
x
2
+
y
2
=
4
and above the line
y
=
x
+
2
.
(c) Expressed as a definite integral with respect to
y
,
_______
gives the area of the region described in part (b).
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.
green.
A golfer makes a successful chip shot to the
Suppose the path of the ball from the moment it
is struck to the moment it hits the green
is described by y = 13.51 x -0.62x² where * { [0,b].
where x is the horizontal distance (in yards)
from the point where the ball was struck,
and y is the vertical distance (in yards) above
the fairway.
a.) set up the integral (to just before integrating)
to find the distance the ball travels
(the arc length) from the moment it is
Struck to the moment it hits the
green.
b.) If the ball travels 42 yards Chorizontally)
down the fairway, find the arc length
the ball travels. Round the nearest
hundred.
Find the area of the region inside 2 petals of the rose
r = sin 80
Chapter 6 Solutions
Calculus Early Transcendentals, Binder Ready Version
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Fundamental Theorem of Calculus 1 | Geometric Idea + Chain Rule Example; Author: Dr. Trefor Bazett;https://www.youtube.com/watch?v=hAfpl8jLFOs;License: Standard YouTube License, CC-BY