# calculus

Evaluate the Riemann sum for f(x) = 5 −1/2x, 2 ≤ x ≤ 14,with six subintervals, taking the sample points to be left endpoints.

I don't understand

1. 👍
2. 👎
3. 👁
1. with left endpoints, then you want to evaluate f at
x = 2,4,6,8,10,12
so f(x) ≈ 2((5-2/2)+(5-4/2)+...(5-12/2))
= 2(4+3+2+1+0-1)
= 18

1. 👍
2. 👎
👤
oobleck

## Similar Questions

1. ### Calculus

Use midpoints to approximate the area under the curve (see link) on the interval [0,1] using 10 equal subdivisions. imagizer.imageshack.us/v2/800x600q90/707/5b9m.jpg 3.157---my answer (but I don't understand midpoints) 3.196 3.407

2. ### Calculus

Write the Riemann sum to find the area under the graph of the function f(x) = x4 from x = 5 to x = 7.

3. ### Calculus integrals

Find the value of the right-endpoint Riemann sum in terms of n f(x)=x^2 [0,2]

4. ### Calculus

1. 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

1. ### calculas 1

Use upper and lower sums to approximate the area of the region using the given number of subintervals (of equal width). (Round your answers to three decimal places.) y = 7/x number of interval between are 5 upper sum= lower sum=

2. ### Calculus

1. The graph of f ′′(x) is continuous and decreasing with an x-intercept at x = –3. Which of the following statements must be true? A. The graph of f is always concave down. B. The graph of f has an inflection point at x =

3. ### Calculus

A biker is slowing down according to the following table of velocities: Time (secs) 0 1 2 3 4 Velocity (feet/sec) 25 20 16 12 10 Approximate the distance traveled, in feet, during these 4 seconds using 4 rectangles and a Left

4. ### maths

3.3 Evaluate the Riemann sum for 𝑓(𝑥) = 2 + 6𝑥, 2 ≤ 𝑥 ≤ 14, with six sub intervals taking the sample point to be left end points. Hence evaluate the following integral 14 ∫ (2 + 6𝑥) 𝑑𝑥. 2

1. ### Math. Need help

1.if g=5 and k=1, evaluate 9+gk a. 13 b. 14 c. 15 d. 16 2.Evaluate a-b^2/b if a = 10 and b = 2. a. 1 b. 3 c. 8 d. 32 3.Evaluate 3xy^2 - y if x = 2 and y = 5. a. 26 b. 30 c. 120 d. 145 4.Evaluate 2d + d^2/3 if d = 6. a. 4 b. 12 c.

2. ### Calculus

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

3. ### Trigonometry

How could you evaluate tan (13pi/12) if you did not know the sum and difference formula for tangent? Would you use the sin and cos sum and difference formulas, and if so, can someone walk me through it? Thank you!!!

4. ### Calculus

1. Express the given integral as the limit of a Riemann sum but do not evaluate: integral[0 to 3]((x^3 - 6x)dx) 2.Use the Fundamental Theorem to evaluate integral[0 to 3]((x^3 - 6x)dx).(Your answer must include the