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Posted: February 8th, 2023
Question description
3. f(x) and g(x) are a differentiable function for all reals and h(x) = g[f(2x)]. The table below gives selected values for f(x), g(x), f '(x), and g '(x). Find the value of h '(1). x1 2 3 4 5 6f(x)0 32 1 2 0g(x)1 32 6 5 0f '(x)3 21 4 0 2g '(x)1 54 3 2 04. The table of values below shows the rate of water consumption in gallons per hour at selected time intervals from t = 0 to t = 12.Using a Trapezoidal sum with 5 subintervals, estimate the total amount of water consumed in that time interval.x0 2 5 7 11 12f(x)5.7 5.0 2.01.2 0.6 0.45.The function is continuous on the interval [10, 20] with some of its values given in the table above. Estimate the average value of the function with a Left Hand Sum Approximation, using the intervals between those given points. x10 12 15 19 20f(x)-2-5-9-12 -16
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