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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...
1) The contour map of 2 =/(x,y) is shown below. Use a Riemann sum to approximate...
1) The contour map of 2 =/(x,y) is shown below. Use a Riemann sum to approximate the integral S(x,y) dx dy and then use that same Riemann sum to estimate the average value of f(x,y) over the region R = (0,4] [0,2]. K-12 ko -62 k>4 6 K 2
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...
6. (6 pts) (x)-4-2x on [0,4] a. b. Sketch the function on the given interval. Approximate the net...
6. (6 pts) (x)-4-2x on [0,4] a. b. Sketch the function on the given interval. Approximate the net area bounded by the graph of f and the x-axis on the interval using a left, right, and midpoint Riemann sum with n-4 c. Use the sketch in part (a) to show which intervals of [a,b] make positive and negative contributions to the net area. (4 pts Use geometry (not Riemann sums) to evaluate the following definite integrals Sketch a graph of...
can you please solve all the questions 4 a) Find fx) dx using the Left-hand Sum....
can you please solve all the questions
4 a) Find fx) dx using the Left-hand Sum. ONote ar is not 2 1 consta) fx) 5.75 9.5 12 14 b) Sketch the rectangles used to evaluste the definite integral in a) 10 Evaluate the definite integral using the Right-hand Sum e) fn The regions A. B, and C in the figure above are bounded by the graph of the function fand the a-axis If the area of each 5. region is...
. 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...
3.2.1.3 Riemann Sums: Sigma Notation - Part 3 Your Turn 3.2.3: A gorilla (wearing a parachute)...
3.2.1.3 Riemann Sums: Sigma Notation - Part 3 Your Turn 3.2.3: A gorilla (wearing a parachute) jumped off the top of a building. We were able to record the velocity of the gorilla with respect to time twice each second. The data is shown below. Note that the gorilla touched the ground just after 5 seconds. a) Use what you've learned to approximate the total distance the gorilla fell from the time he jumped off the building until the time...
3. + -12 points CalcET8 5.2.007. A table of values of an increasing function f is...
3. + -12 points CalcET8 5.2.007. A table of values of an increasing function f is shown. Use the table to find lower and upper estimates for 30 f(x) dx. J10 lower estimate upper estimate x 10 14 18 22 26 30 Need Help? Read It Watch It Talk to a Tutor Submit Answer Practice Another Version 4. 0/1 points Previous Answers SCalcET8 5.2.009. Use the Midpoint Rule with the given value of n to approximate the integral. Round the...
Exercise 6: Given the table of the function f(x)-2" 2 X 0 3 2 f(x) 1 2 4 8 a) Write down the Newton polynomial...
Exercise 6: Given the table of the function f(x)-2" 2 X 0 3 2 f(x) 1 2 4 8 a) Write down the Newton polynomials P1(x), P2(x), Pa(x). b) Evaluate f(2.5) by using Pa(x). c) Obtain a bound for the errors E1(x), E2(x), Es(x) Exercise 7: Consider f(x)- In(x) use the following formula to answer the given questions '(x) +16-30f+16f,- 12h a) Derive the numerical differentiation formula using Taylor Series and find the truncation error b) Approximate f'(1.2) with h-0.05...
(14) 1. This problem investigates the iterated integral I - Jxdy dz. . a) Compute I. b) Use the a...
Please show all work thanks
(14) 1. This problem investigates the iterated integral I - Jxdy dz. . a) Compute I. b) Use the axes to the right to sketch the region of integration for I c) Write I as a sum of one or more dz dy integrals. You do not need to compute the result! 4 (10) 2. Find and classify using the Second Derivative Test all critical points of f(x, y)2 Resembling problem 19 in section 14.7...
Problem 2 (hand-calculation): Consider the function f(x) tabulated in table 1. Apply improved trapezoid rule to estimat...
Problem 2 (hand-calculation): Consider the function f(x) tabulated in table 1. Apply improved trapezoid rule to estimate the integral, If) J ) dz, by using the following number of subintervals, n (a) n-3. Use grid points at i0, 4, 8 and 12 (b) n- 6. Use grid points at i0, 2,4, 6, 8, 10 and 12 (c) n = 12, Use all grid points For each part, compute the integral, T(f) and the corresponding absolute error Er(f), and the error...
1) The contour map of 2 =/(x,y) is shown below. Use a Riemann sum to approximate the integral S(x,y) dx dy and then use that same Riemann sum to estimate the average value of f(x,y) over the region R = (0,4] [0,2]. K-12 ko -62 k>4 6 K 2
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...
6. (6 pts) (x)-4-2x on [0,4] a. b. Sketch the function on the given interval. Approximate the net area bounded by the graph of f and the x-axis on the interval using a left, right, and midpoint Riemann sum with n-4 c. Use the sketch in part (a) to show which intervals of [a,b] make positive and negative contributions to the net area. (4 pts Use geometry (not Riemann sums) to evaluate the following definite integrals Sketch a graph of...
can you please solve all the questions
4 a) Find fx) dx using the Left-hand Sum. ONote ar is not 2 1 consta) fx) 5.75 9.5 12 14 b) Sketch the rectangles used to evaluste the definite integral in a) 10 Evaluate the definite integral using the Right-hand Sum e) fn The regions A. B, and C in the figure above are bounded by the graph of the function fand the a-axis If the area of each 5. region is...
. 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...
3.2.1.3 Riemann Sums: Sigma Notation - Part 3 Your Turn 3.2.3: A gorilla (wearing a parachute) jumped off the top of a building. We were able to record the velocity of the gorilla with respect to time twice each second. The data is shown below. Note that the gorilla touched the ground just after 5 seconds. a) Use what you've learned to approximate the total distance the gorilla fell from the time he jumped off the building until the time...
3. + -12 points CalcET8 5.2.007. A table of values of an increasing function f is shown. Use the table to find lower and upper estimates for 30 f(x) dx. J10 lower estimate upper estimate x 10 14 18 22 26 30 Need Help? Read It Watch It Talk to a Tutor Submit Answer Practice Another Version 4. 0/1 points Previous Answers SCalcET8 5.2.009. Use the Midpoint Rule with the given value of n to approximate the integral. Round the...
Exercise 6: Given the table of the function f(x)-2" 2 X 0 3 2 f(x) 1 2 4 8 a) Write down the Newton polynomials P1(x), P2(x), Pa(x). b) Evaluate f(2.5) by using Pa(x). c) Obtain a bound for the errors E1(x), E2(x), Es(x) Exercise 7: Consider f(x)- In(x) use the following formula to answer the given questions '(x) +16-30f+16f,- 12h a) Derive the numerical differentiation formula using Taylor Series and find the truncation error b) Approximate f'(1.2) with h-0.05...
Please show all work thanks
(14) 1. This problem investigates the iterated integral I - Jxdy dz. . a) Compute I. b) Use the axes to the right to sketch the region of integration for I c) Write I as a sum of one or more dz dy integrals. You do not need to compute the result! 4 (10) 2. Find and classify using the Second Derivative Test all critical points of f(x, y)2 Resembling problem 19 in section 14.7...
Problem 2 (hand-calculation): Consider the function f(x) tabulated in table 1. Apply improved trapezoid rule to estimate the integral, If) J ) dz, by using the following number of subintervals, n (a) n-3. Use grid points at i0, 4, 8 and 12 (b) n- 6. Use grid points at i0, 2,4, 6, 8, 10 and 12 (c) n = 12, Use all grid points For each part, compute the integral, T(f) and the corresponding absolute error Er(f), and the error...
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