Using the Trapezoidal Rule and Simpson's Rule In Exercises 3-14, use the Trapezoidal Rule and Simpson’s Rule to approximate the value of the definite
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Calculus of a Single Variable
- Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for the indicated value of n. Compare these results with the exact value of the definite integral. Round your answers to four decimal places. 8 0 x + 7 dx, n = 8 Trapezoidal RuleSimpson's Ruleexact valuearrow_forwardDepreciation A company purchases a new machine for which the rate of depreciation can be modeled by dV/dt=10,000(t-6), 0 < = t < = 5 where V is the value of the machine after t years. Set up and evaluate the definite integral that yields the total loss of value of the machine over the first 3 years.arrow_forwardUse the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n. (Round your answers to six decimal places.) The integral from 2 to three of the the square root of x^3 -8 dx, n = 10 (a) the Trapezoidal Rule (b) the Midpoint Rule (c) Simpson's Rulearrow_forward
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