The derivative of the function sin u with respect to u is given by
(sin ) cos
d
u u
du
Use the chain rule to determine the derivative of y with respect to x where
y 6sin x3
Q.7: Which is the correct solution?
a) 18 2 cos 3
dy
x x
dx
b) 6 2 cos 3
dy
x x
dx
c) 6cos 3
dy
x
dx
d) 6 cos 3
dy
x x
dx
Q.8: Which is the slope of the function for x=1.5?
Find equations of the tangent plane and normal line to the surface z-12=xe^(y)cosz at the point( -12,0,0 ).
Tangent Plane:(make the coefficient of z equal to 1 ).
=0.
Normal line:,
四,
〉
田
,1: .
In Problems 3-14, use Theorem 8.6.3 to determine
whether the given matrix is singular or nonsingular. If
it is nonsingular, use Theorem 8.6.2 to find the
inverse. 14. ([1,2,1,1],[0,0,3,0],[3,1,2,0],[1,1,1,0])
, 2026, and underreported his gross income by 30 percent. Assuming Allen's underreporting is not due to froud, the statute of limitations for IRS assessment on Allen's 2025 tax return should end:
Multiple Choice
_(_())_(_())
Moy
15^(th ),2028
.
_(_())_(_())
Aprit 15t, 2028.
_(_())_(_())
Moy
15^(th ),2029
_(_())_(_())
April 15* 2029
_(_())_(_())
None of the choices are correct.
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