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.
Find a unit normal vector to the surface f(x, y, z) = 0 at the point P(-3,4, -32) for the function
f(x, y, z) = In
-4x
-5y-
Please write your answer as a vector (a, b, c) with a negative z component, and show your answer accurate
to 4 decimal places
Find the differential of the function f(x, y) = 2x² - 2xy – 5y² at the point (-6, -5) using Ax = 0.3
and Ay = 0.05.
dz =
Now find Az and compare it to your answer above
Ax=
Hint: If entering a decimal, round to at least 5 places
Find the differential of the function f(x, y) = −8x√y at the point (1,3) using Ax = 0.25 and
Ay = -0.15.
dz
Now find Az and compare it to your answer above
Az =
Hint: If entering a decimal, round to at least 5 places
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