For what value n is 1P3 =nP4?
1 answer:
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Answer:
Step-by-step explanation:
The perimeter of the square base of a pyramid = 7.3 ft
The height of the pyramid, h = 6ft
The perimeter of a square is given by :
P = 4s, s is the side of square
7.3 = 4s
s = 1.825 ft
The volume of a pyramid is given by :
Here, l = b = 1.825 ft
So,
So, the volume of the pyramid is equal to .
<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