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Answer:
See below. The answer is incomplete, I couldn't post it.
Step-by-step explanation:
Considering a function
, it is said to be discontinuous when it has a hole or breaks, it means places where
cannot be evaluated. For example, when the denominator equals to 0, it is not defined.
Answer:
8.3 (nearest tenth)
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
121/11=11
Answer: 25° and 65°
Step-by-step explanation:
Let the smaller angle of the complementary angle be represented by x.
Since the other angle is 15 degree more than two times the other angle, this will be:
= (2 × x) + 15°
= 2x + 15°.
Then we add both angles together and equate them to 90° and this will be:
x + 2x + 15° = 90°
3x + 15° = 90°
3x = 90° - 15°
3x = 75°
x = 75°/3
x = 25°
Then the other angle will be:
= 2x + 15°
= (2 × 25°) + 15°
= 50° + 15°
= 65°
Therefore, the angles are 25° and 65°.
<h3>
Answer:</h3>
- using y = x, the error is about 0.1812
- using y = (x -π/4 +1)/√2, the error is about 0.02620
<h3>
Step-by-step explanation:</h3>
The actual value of sin(π/3) is (√3)/2 ≈ 0.86602540.
If the sine function is approximated by y=x (no error at x = 0), then the error at x=π/3 is ...
... x -sin(x) @ x=π/3
... π/3 -(√3)/2 ≈ 0.18117215 ≈ 0.1812
You know right away this is a bad approximation, because the approximate value is π/3 ≈ 1.04719755, a value greater than 1. The range of the sine function is [-1, 1] so there will be no values greater than 1.
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If the sine function is approximated by y=(x+1-π/4)/√2 (no error at x=π/4), then the error at x=π/3 is ...
... (x+1-π/4)/√2 -sin(x) @ x=π/3
... (π/12 +1)/√2 -(√3)/2 ≈ 0.026201500 ≈ 0.02620