Can you please help me with the problem in the image below?
1 answer:
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<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
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
Answer:
Part A: 12c sq. m
Part B: 6 sq. m
Step-by-step explanation:
Area of a rectangle = l X b sq. units
Part A:
Given Length , l = 6c units.
And Breadth, b = 2 units.
Hence, the area = 6c X 2 sq. units
Area, A = 12c sq. units
Part B:
When c =
From Part A, we have Area, A = 12c sq.units
When c = , area =
sq. units.
Therefore, Area = 6 sq. units.