Question

1. Suppose a = 6 and A = 5 degrees.

Find:

b=

c=

B=

2. Suppose c = 5 and A = 5 degrees.

Find:

a=

b=

B=

Answer #1

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1). a=6 b=7 c=11 Find A, B, C
2) a= 4 c=6 B=30 Find b, A, C
3) Solve the following triangle using either the Law of Sines or
the Law of Cosines
b=9 c=13 A=58

1. Find the derivatives of each of the following functions:
(a) ?(?)=5?3−7?2−9?+√5 (b)
?(?)=3?-4+6√?
(c) ?(?)=6/?4−7/?3+3/?+1

Suppose g : A → B and f : B → C where A = {1, 2, 3, 4} B = {a,
b, c} C = {3, 5, 7} and f and g are defined by g = {(1, c), (2, a),
(3, b), (4, a)} f = {(a, 5), (b, 7), (c, 3)}.
a. Find f∘g
b. Find f-1

Multiple choice
1. if a = [1, 2] b = [2, 7] find a + 2b
A.3 √10 B. [6, 18] C. [5, 16] D. √281
2. if p = [ 5, -3] and q = [ 1, 4] find |p - 51|
a. [0, 23] b. 23 c. 529 d. [4, -7]
3. if a = [ 5, -5] and b = [-5, 5] find A x B (A multiply by
B)
a. 50 b. 0 c. -50 d....

CHAPTER 2 MATLAB EXERCISES QUESTION 1:
Enter the matrices A=[0 -4 5] and B= [-5 6 7]
3 1 -2 0 -1 2
2 1 4 4 0 -3
USE MATLAB to find a) A + B
b) B - 3A
c) AB
d) BA
QUESTION 6:
ENTER THE THREE MATRICES A= [1 2 3 4] B= [4 -6 3 5]
2 3 4 5 0 -3 -6 8
3 4 5 6 3 5 0 7
4 5 6 7...

a.) Find the Laplace transform of ?(?)=1+?(?−5)⋅(?+9)
b.) Find the Laplace transform of?(?)=?(?−4)⋅?^2
c.) Find the Laplace transform of?(?)=?(?−(3?)/2)⋅sin(?)
d.) Find the Laplace transform of ?(?)=?(?−4)⋅?^(−?)

Perform the following matrix multiplications
A = [2 5 6]
[-3 0 1]
B = [ 1]
[ 3]
[-4]
C = [-2 10 1]
6a. Find AB
6b. Find BC
6c. Find AC

1. (a) For each of x = 1, 2, 3, 4, 5, 6 find a ∈ {0, 1, ..., 6}
where x 2 ≡ a (mod 7).
(b) Does x 2 ≡ a (mod 7) have a solution for x every integer a?
Justify your answer!
(c) For a ∈ {1, ..., 6} (so a not equal to 0!), how many
solutions for x are there in the equation x 2 ≡ a (mod 7)?
What is the pattern here?

Number
-5
6
8
-2
6
9
8
2
1
6
2
1
Find the following :
Mean
Standard Error
Median
Mode
Standard Deviation
Sample Variance
Kurtosis
Skewness
Range
Minimum
Maximum
Sum
Count
Confidence Level(95.0%)
Give three decimals for all answers.
Please make sure that the meaning of three decimals is
the same as this formate(111.xxx). Example: suppose you got the
answer like 111.98764, the answer using just 3 decimals is the same
this formating (111.988).

Prob 5:
i) Suppose f: R → Z where ?(?) =[2? - 1]
a. If A = {x | 1 =< x =< 4}, find f(A).
b. If C = {-9, -8}, find f−1(C).
c. If D = {0.4, 0.5, 0.6}, find f−1(D).
(ii) Suppose g: A → B and f: B → C where A = {a, b, c, d}, B = {1,
2, 3}, C = {2, 3, 6, 8}, and g and f
are defined as g...

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