# Calculus

posted by Jimmy

The function f is continuous on the interval [4, 15], with some of its values given in the table above. Estimate the average value of the function with a Trapezoidal Approximation, using the 4 intervals between those given points.

x 4 9 11 14 15
f(x) -6 -11 -18 -21 -25

1. Steve

for each trapezoid number i the area is
(f(x_i)+f(x_i+1))/2 * (x_i+1 - x_i)

## Similar Questions

1. ### Simpson's rule

Is the simpson's rule always more accurate than the midpoint rule and trapezoidal rule?
2. ### Calculus

I am doing the AP calculus review, these are the questions I have no Idea on how to do: 1. if 0<= k <=pi/2 and the area under the curve y-cosx from x=k to x=pi/2 is 0.2, then k= 2. let F(x) be an antiderivative of (ln x)^4/x …
3. ### Calculus

COnsider g(x)=(8)/(x-6) on (6,13) (a) Is this function continuous on the given interval?
4. ### Calculus

COnsider g(x)=(8)/(x-6) on (6,13) (a) Is this function continuous on the given interval?
5. ### Calculus

COnsider g(x)=(8)/(x-6) on (6,13) (a) Is this function continuous on the given interval?
6. ### Calculus IVT

The function f is continuous on the closed interval [0,6] and has values that are given in the table above. The equation f(x)=3 must have at least two solutions in the interval [0,6] if k= ?
7. ### calculus

The function f is continuous on the closed interval [0,6] and has values that are given in the table below. x |0|2|4|6 f(x)|4|K|8|12 The trapezoidal approximation for(the integral): 6 S f(x) dx 1 found with 3 subintervals of equal …
8. ### AP Calculus AB

The function f is continuous on the interval [4, 15], with some of its values given in the table above. Estimate the average value of the function with a Right Rectangle Approximation, using the 4 intervals between those given points. …
9. ### Calculus

The function f is continuous on the interval [4, 15], with some of its values given in the table above. Estimate the average value of the function with a Right Rectangle Approximation, using the 4 intervals between those given points. …
10. ### Calculus help

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 Right Hand Sum Approximation, using the intervals between those given points. x …

More Similar Questions