In Exercises 0≤a ≤ 2 41 and 42, find all values a and B where and 0 ≤ ≤ 2. 41. 2 cosa + 4 sin B = 3 3 cosa - 5 sin B = -1 42. 2 cos a sin² ß = 1 12 cos² a +8 sin² = 13 43. Describe the solution set of the following system in terms of x3: x₁ + x₂ + x3 = 3 x₁ + 2x₂ <= 5.
In Exercises 0≤a ≤ 2 41 and 42, find all values a and B where and 0 ≤ ≤ 2. 41. 2 cosa + 4 sin B = 3 3 cosa - 5 sin B = -1 42. 2 cos a sin² ß = 1 12 cos² a +8 sin² = 13 43. Describe the solution set of the following system in terms of x3: x₁ + x₂ + x3 = 3 x₁ + 2x₂ <= 5.
In Exercises 0≤a ≤ 2 41 and 42, find all values a and B where and 0 ≤ ≤ 2. 41. 2 cosa + 4 sin B = 3 3 cosa - 5 sin B = -1 42. 2 cos a sin² ß = 1 12 cos² a +8 sin² = 13 43. Describe the solution set of the following system in terms of x3: x₁ + x₂ + x3 = 3 x₁ + 2x₂ <= 5.
Linear algebra: please solve q42 correctly and handwritten
Transcribed Image Text:In Exercises 41 and 42, find all values a and B where
0≤ ≤ 27 and 0 ≤ ≤ 2.
41. 2 cosa + 4 sin
= 3
3 cos a -5 sin ß=-1
= 1
12 cos² a +8 sin² = 13
42. 2 cos a sin²
43. Describe the solution set of the following system in
terms of x3:
x₁ + x₂ + x3 = 3
x₁ + 2x₂
<= 5.
Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.
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