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...
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...
. 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 smallest AA- ArAy you can use for a double Riemann sum given the table above? (b) Sketch R showing the subdivisions you found in part (a) (c) Give upper and lower estimates of f(x, y) dA using double Riemann...
(1 point) Let R be the rectangle with vertices (0,0). (8,0). (8, 8), and (0,8) and let f(x, y)- /0.25ry. (a) Find reasonable upper and lower bounds for JR f dA without subdividing R. upper bound lower bound (b) Estimate JRf dA three ways: by partitioning R into four subrectangles and evaluating f at its maximum and minimum values on each subrectangle, and then by considering the average of these (over and under) estimates overestimate: Inf dA underestimate: JRfdA average:...
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...
(4) Consider the surface f(r, y) -7441, over the domain 0 < x < 3,0 y 4. (a) Estimate the volume of the solid over this domain by calculating the Riemann sum for m 3 and n 2 using the lower left corners as your sample points. (b) Estimate the volume of the solid over this domain by calculating the Riemann sum for m 3 and n = 2 using the upper right corners as your sample points. (c) Calculate...
A function, f. has the following table of values: 4 6 X 0 f(x) 2 23 43 -2 - 1 -4 1 Approximate] пом. Approximate f(x)d.r using a Riemann sum with 2 rectangles and midpoints. 6 0 -2 4 O2 Question 4(5 points) ✓ Saved firmaland itsdaluritius Р w o 19 MacBou
3. (a) Find the absolute maximum and minimum values for f(x,)s y on the rectangle (0, ) x 0.1. (b) Evaluate frrydA, where D is the shaded region drawn below 3. (a) Find the absolute maximum and minimum values for f(x,)s y on the rectangle (0, ) x 0.1. (b) Evaluate frrydA, where D is the shaded region drawn below
You are given the table below. 16 20 4 8 12 X f(x) 12 2417 6 30 Use the table and n = 4 to estimate the following. Because the data is not monotone (only increasing or only decreasing), you should sketch a possible graph and draw the rectangles to ensure you are using the appropriate values for a lower estimate and an upper estimate. 20 f(x)dx lower estimate upper estimate Estimate the area of the region under the curve...
Consider the graph 12 10 6, 9) y-f(x 8 (2, 7) (4, 5) (0, 3) (8, 0) 10 (a) Using the indicated subintervals, approximate the shaded area by using lower sums s (rectangles that lie below the graph of f) (b) Using the indicated subintervals, approximate the shaded area by using upper sums S (rectangles that extend above the graph of f) +-14 points SullivanCalc1 5.1.019 Approximate the area A under the graph of function f from a to b...
Suppose f is a differentiable function of x and y, and g(r, s) f(8r - s, s2 - 5). Use the table of values below to calculate g(4, 6) and s(4, 6) fx (26, 16) 6198 (4, 6)1652 (4, 6) g(4, 6)- The temperature Tin a metal ball is inversely proportional to the distance from the center of the ball, which we take to be the origin. The temperature at the point (2, 1, 2) is 140°K Find DuT, the...