Assignment on Industrial Mathematics 2

KEMENTERIAN RISET, TEKNOLOGI, DAN PENDIDIKAN TINGGI
UNIVERSITAS BRAWIJAYA
FAKULTAS TEKNOLOGI PERTANIAN

Assignment on Industrial Mathematics 2

Answer the following questions!
1. Find the equation of the normal to the curve
equation of the tangent at the origin.
2. Find

�

�

and

a.

b.

�2

� 2

+

+

+

−

=

=

2+

at the point (2, 1) and the

=

3. Determine the following integrals:

a. ∫

b. ∫

−

2 −8

−

+ 5

2+

+

2+

�

�

4. An insulating rod of length 3 m and thin enough to be approximated by a line lies
in an environment that induces a charge on its surface. If the rod lies along the zaxis between z = 3 m and z = 6 m and is subject to a charge density:
�=
(μC/m) between the values z=3 and z=6 and
� =0 (μC/m) outside that range,
find the total charge.
Good luck!