An integral expression for the area of the region between the curves y = 20 − 3 x 2 y and y = e x and bounded on the sides by x = 0 and x = 2 is _______ .
An integral expression for the area of the region between the curves y = 20 − 3 x 2 y and y = e x and bounded on the sides by x = 0 and x = 2 is _______ .
An integral expression for the area of the region between the curves
y
=
20
−
3
x
2
y and
y
=
e
x
and bounded on the sides by
x
=
0
and
x
=
2
is
_______
.
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.
Determine whether the lines
L₁ (t) = (-2,3, −1)t + (0,2,-3) and
L2 p(s) = (2, −3, 1)s + (-10, 17, -8)
intersect. If they do, find the point of intersection.
Convert the line given by the parametric equations y(t)
Enter the symmetric equations in alphabetic order.
(x(t)
= -4+6t
= 3-t
(z(t)
=
5-7t
to symmetric equations.
Find the point at which the line (t) = (4, -5,-4)+t(-2, -1,5) intersects the xy plane.
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