Homework Answers
Answer:
given the
The contour map of z = f(x,y)
Riemann sun to estimate the average value of f(x,y)
The region R = [0,4]*[0,2].
![Thus, $ 5* = 1:8 +60*8*476 Thus, RE 12+ 8 +6+4+8 +6+4 70 = 48 Thus the integral is = 48 [approx] also, the average value of t](http://img.homeworklib.com/questions/1be6a950-6dd5-11eb-81fb-93f22153d61a.png?x-oss-process=image/resize,w_560)
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1) The contour map of 2 =/(x,y) is shown below. Use a Riemann sum to approximate...
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)...
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...
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
. 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...
. 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...
with work shown For each problem, use a right-hand Riemann sum to approximate the integral based off of the values in the table. You may use the provided graph to sketch the function data and Riemann...
with work shown
For each problem, use a right-hand Riemann sum to approximate the integral based off of the values in the table. You may use the provided graph to sketch the function data and Riemann sums .19 14 4)fx) dx 3) f(a) dax 0 x049 10 12 19 x 0359131-4 f(x) fix) 0.5 2 46 8 10 12 14x 2 4 6 8 10 12 14 16 18x -0.5 1.5 -2.5 -6
For each problem, use a right-hand Riemann...
Slx, y) dx dy for the shaded Approximate values of f(x, y) at sample points on...
Slx, y) dx dy for the shaded Approximate values of f(x, y) at sample points on a grid are given in the figure. Estimate domain by computing the Riemann sum with the given sample points. -1.5 (Use decimal notation. Give your answer to two decimal places.) Is(x,y)dx dy = dx dy
Use the sum of the first ten terms to approximate the sum of the series -Estimate the error by ta...
use the sum of the first ten terms to approximate the sum of the series -Estimate the error by takingthe average of the upper (Hint: Use trigonometric substitution, Round your answers to three decimal places Theorem 16. Remainder Estimate for the Integral Test Let f(x) be a positive-valued continuous decreasing function on the interval [I,0o) such that f(n): an for every natural number n. lf the series Σ an converges, then f(x)dx s R f(x)dx
use the sum of the...
A contour map is shown for a function f on the square R = [0, 2]...
A contour map is shown for a function f on the square R = [0, 2] * [0, 2]. y 2 30 40 50 30 40 х 2 (a) Use the Midpoint Rule with m = n = 2 to estimate the value of le f(x,y) dA. (Round your answer to the nearest integer.) (b) Estimate the average value of f. (Round your answer to one decimal place.)
Estimate the area of the region bounded by the graph of f(x)-x + 2 and the x-axis on [0,4] in the following ways a. Divide [0,4] into n = 4 subintervals and approximate the area of the region using...
Estimate the area of the region bounded by the graph of f(x)-x + 2 and the x-axis on [0,4] in the following ways a. Divide [0,4] into n = 4 subintervals and approximate the area of the region using a left Riemann sum. Illustrate the solution geometrically. b. Divide [0,4] into n = 4 subintervals and approximate the area of the region using a midpoint Riemann sum· illustrate the solution geometrically. C. Divide [04] into n = 4 subintervals and...
(1 point) Consider the volume of the region shown below, which shows a hemisphere of radius 6 mm and a slice of the hemisphere with width Dy- Ay. D y Write a Riemann sum for the volume, using the sli...
(1 point) Consider the volume of the region shown below, which shows a hemisphere of radius 6 mm and a slice of the hemisphere with width Dy- Ay. D y Write a Riemann sum for the volume, using the slice shown: Riemann sum-Σ Now write an integral that gives this volume #4 and b where a - Finally, calculate the exact volume of the region, using your integral volume - (include units)
(1 point) Consider the volume of the region...
(1 point) A contour diagram for a function f(x,y) is shown below. 4 --- - --...
(1 point) A contour diagram for a function f(x,y) is shown below. 4 --- - -- --5 ---- - - 4 ----- Estimate the position and approximate value of the global maximum and global minimum on the region shown. Global maximum at Global minimum at
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
. 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...
with work shown
For each problem, use a right-hand Riemann sum to approximate the integral based off of the values in the table. You may use the provided graph to sketch the function data and Riemann sums .19 14 4)fx) dx 3) f(a) dax 0 x049 10 12 19 x 0359131-4 f(x) fix) 0.5 2 46 8 10 12 14x 2 4 6 8 10 12 14 16 18x -0.5 1.5 -2.5 -6
For each problem, use a right-hand Riemann...
Slx, y) dx dy for the shaded Approximate values of f(x, y) at sample points on a grid are given in the figure. Estimate domain by computing the Riemann sum with the given sample points. -1.5 (Use decimal notation. Give your answer to two decimal places.) Is(x,y)dx dy = dx dy
use the sum of the first ten terms to approximate the sum of the series -Estimate the error by takingthe average of the upper (Hint: Use trigonometric substitution, Round your answers to three decimal places Theorem 16. Remainder Estimate for the Integral Test Let f(x) be a positive-valued continuous decreasing function on the interval [I,0o) such that f(n): an for every natural number n. lf the series Σ an converges, then f(x)dx s R f(x)dx
use the sum of the...
A contour map is shown for a function f on the square R = [0, 2] * [0, 2]. y 2 30 40 50 30 40 х 2 (a) Use the Midpoint Rule with m = n = 2 to estimate the value of le f(x,y) dA. (Round your answer to the nearest integer.) (b) Estimate the average value of f. (Round your answer to one decimal place.)
Estimate the area of the region bounded by the graph of f(x)-x + 2 and the x-axis on [0,4] in the following ways a. Divide [0,4] into n = 4 subintervals and approximate the area of the region using a left Riemann sum. Illustrate the solution geometrically. b. Divide [0,4] into n = 4 subintervals and approximate the area of the region using a midpoint Riemann sum· illustrate the solution geometrically. C. Divide [04] into n = 4 subintervals and...
(1 point) Consider the volume of the region shown below, which shows a hemisphere of radius 6 mm and a slice of the hemisphere with width Dy- Ay. D y Write a Riemann sum for the volume, using the slice shown: Riemann sum-Σ Now write an integral that gives this volume #4 and b where a - Finally, calculate the exact volume of the region, using your integral volume - (include units)
(1 point) Consider the volume of the region...
(1 point) A contour diagram for a function f(x,y) is shown below. 4 --- - -- --5 ---- - - 4 ----- Estimate the position and approximate value of the global maximum and global minimum on the region shown. Global maximum at Global minimum at
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