Lab 7 Engineering Applications. Application 1: Sum of Series Write a program to calculate the following series: Write your program such that it calculates.

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Presentation transcript:

Lab 7 Engineering Applications

Application 1: Sum of Series Write a program to calculate the following series: Write your program such that it calculates the series value for 5000 terms. Verify that the series converges to the value  /4 (around )

Application 2: Finding the minimumx Tension Minimum T Optimal X

Finding the Minimum f(x)x

Write a program to find the optimal distance x that offers the minimum amount of tension. Start from x = 0.40 m. Use 0.05 m increments. Finding the Minimum

Application 3: Area Calculationf(x)

Trapezoid Areah a b Area = h * (a + b)/2

Area Calculationf(x)

Trapezoidal Approximation A1A2A3 x1x2 f(x1) f(x2) Area = A1 + A2 + A3

f (x) = 3x 2 –x + 2 x = 1x = 2 Write a program to calculate the area under the curve f (x) = 3x 2 –x + 2 between x = 1 and x = 2 using the Trapezoidal Approximation method (use a small step value) Area Calculation