Download Lab100 Quiz Week 10

Lab100 Quiz Week 10
Use Scilab to complete this quiz.
Q 10.1 lab100qz10.i: Algebra
Find answers to the first five parts before completing the main sum.
T = 58 - (4 times 7)
W = sum of positive integers divisible by 5 and less than 26
X = 14 squared
Y = 136 divided by 17
Z = cosine of 2 π .
Now calculate (X + Y T − W )/Z. The value is
(A) 361,
(B) 423,
(C) 987,
(D) 723,
(E) 226
Q 10.2 lab100qz10.ii: More algebra
Input the expression y = 7 + 5ecos(3π) into Scilab. Take care with multiplication, and evaluate e
from the exponential function, exp(1). The value is
(A) 1.8394,
(B) 9.4389,
(C) 4.9389,
(D) 8.8394,
(E) 11.9834
Q 10.3 lab100qz10.iii: Complex Numbers
Here are 6 complex numbers, which you can paste into Scilab.
x
y
z
t
v
w
=
=
=
=
=
=
4 + 7*%i
1 - %i
3 + 2*%i
4 - 3*%i
1 + 2*%i
11 + 3*%i
Here are 8 statements about these numbers. The == means equals in the sense of a relationship.
Which of the following statements are true?
1
2
3
4
5
6
7
8
z/y == (z*conj(y))/(y*conj(y))
v-w == y-(t+x+z)
real(x) == real(t)
conj(y) == v
imag(z) == imag(v)
x+t+z == w
x*y == w
real(x+t+z) == real(w)
(A) TF FF TF TT,
(B) TF TF TF FT,
1
(C) TF TF TF TT,
(D) TF TF TF FT,
(E) TT TF TF TT
2