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given: AKLM is a trapezoid, AK = 13, LM = 14, KL = 5, AM = 20. find h where h is the height from vertex L to AM

given: AKLM is a trapezoid, AK = 13, LM = 14, KL = 5, AM = 20. find h where h is the-example-1
User DannyA
by
7.7k points

1 Answer

3 votes

Answer:

-1.1857

Explanation:

Symbolic form of trapezoidal rule

integral_(-1.88988)^1.88988 (x^3 + cos(x)) dx≈(1.88988 - (-1.88988))1/2 (-7.0637 + 6.4363)

Exact integral result

2 sin(108316202/57313751) ≈ 1.899045542542963

Method comparisons

method | result | absolute error | relative error

left endpoint | -26.6991 | 28.5982 | 15.0592

right endpoint | 24.3277 | 22.4287 | 11.8105

midpoint | 3.77976 | 1.88072 | 0.990349

trapezoidal rule | -1.1857 | 3.08475 | 1.62437

Simpson's rule | 2.12461 | 0.225562 | 0.118776

Boole's rule | 1.89403 | 0.00501286 | 0.00263967

(over the range from -1.88988 to 1.88988 and using 1 interval)

User Aziz Alto
by
8.4k points

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