. 110 pts] Th R -[0,4] x [0,4] e table below gives the values of a function f(x,) on the square region 234 2 42 24-3 You have to approximate |f(x, y) dA using double Riemann sums (a) What is the...
6. [10 pts] The table below gives the values of a function f(x, y) on the square region R-[0,4] x [0,4]. -2-4-3 You have to approximate f(r, y) dA using double Riemann sums. Riemann sum given (a) What is the smallest AA ArAy you can use for a double the table above? (b) Sketch R showing the subdivisions you found in part (a). (e) Give upper and lower estimates of y) dA using double Riemann sums with subdivisions you found...
Let R = [0,2] x [0,6]. Approximate the double integral of (x^2-y^2)dA using a Riemann sum with 3 congruent squares with integer sides and taking (xi*,yj*) to be the center of each rectangle. z 2 of each sectarg
I. Riemann Sums for the Function f(x) = x2 This project's goal is to find the area A of the region above the x-axis and below the parabola y = x2, where 0 s x s 1 1. Approximate values for A: Denote by L and R, the areas of the polygonal regions with n rectangular tiles as described in the left and right rectangular methods, respectively Compute by hand Ls and L10. How do these values compare to the...
Values of f (x, y are in the table below. 68 10 у0.2 5 719 4 6 5 Let R be the rectangle: 4.0 Sx 4.2 0.0 S y 0.4. Based on the values given in the table, find Riemann sums which are reasonable over and underestimates for f x, y) dA with ΔΧ-0.1 and Δy 0.2. Enter the exact answers. Lower sum Upper sum Values of f (x, y are in the table below. 68 10 у0.2 5 719...
12. Let R ((x, y)l0 s r s 4,0 s y s 6). Let f(x, y)2+2y Express the Riemann sum estimate for Jjf(x, y)dA with m 2,n 3 using both summation notation and expanded sum form if the sample points are the upper right corners of each sub-rectangle. Do not evaluate. 12. Let R ((x, y)l0 s r s 4,0 s y s 6). Let f(x, y)2+2y Express the Riemann sum estimate for Jjf(x, y)dA with m 2,n 3 using...