How do you use the trapezoidal rule with n=6 to approximate the area between the curve #9 sqrt (ln x) # from 1 to 4?
See the explanation section below.
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To use the trapezoidal rule with n = 6 to approximate the area between the curve 9√(ln x) from 1 to 4, follow these steps:

Divide the interval [1, 4] into n = 6 equal subintervals. The width of each subinterval, Δx, is calculated as (b  a) / n, where a = 1 and b = 4.

Compute the function values at the endpoints of each subinterval. This involves evaluating the function 9√(ln x) at x = 1, 4, 1.5, 2, 2.5, 3, and 3.5.

Apply the trapezoidal rule formula for each pair of adjacent points:
Area of each trapezoid = (width of subinterval) * (sum of function values at endpoints)

Sum up the areas of all trapezoids to get the approximate total area under the curve between x = 1 and x = 4.
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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