HOMEWORK CHAPTER 4
TI TRNG TN
ITIU09026
Double integrals over rectangles:
3/
z=xyR=cfw_ ( x , y )0 x 6,0 y 4 ,let f ( x , y ) =xy
a) Divide R into four equal squares with the area of
6 4 64
=
=4=dA
. Approximate
mn 32
the volume of the solid by the Riem
HOMEWORK CHAPTER 4
TI TRNG TN
ITIU09026
Double integrals over rectangles:
3/
cfw_(
)
(
)
a) Divide R into four equal squares with the area of
. Approximate the
volume of the solid by the Riemann sum with m= 3 and n = 2:
(
( (
)
)
(
b) We have
(
(
)
(
HOMEWORK CHAPTER 2
TI TRNG TN
ITIU09026
Section 9.4
14/
i+ ji j+k
We have the two vectors: a= 1,1, 0> b= 1,1, 1>
The cross product axb is orthogonal to both a and b:


i
j k
c=axb= 1 1 0 1 0 i 1 0 j+ 1 1 k=i j2 k
1 1
1 1
1 1
1 1 1
  
Therefore, the u
HOMEWORK CHAPTER 2
TI TRNG TN
ITIU09026
Section 9.4
14/
We have the two vectors:
The cross product axb is orthogonal to both a and b:








Therefore, the unit vector is:
The second unit vector orthogonal to both a and b would be
18/
a) We have: