1.) Using a Riemann sum with n = 6 subintervals, find the overestimate (i.e. upper Riemann...
1.) Using a Riemann sum with n = 6 subintervals, find the overestimate (i.e. upper Riemann sum) of the area of the region bounded above by the function f(x)= 2-3^x+1 and below by the x-axis on the interval [0,3]. You may give your answer in exact form or in decimal form correct to two decimal places.
2.)On a typical day, a person should consume calories at the rate of c(t) = 50 + 24(root)t-2t^2 calories per hour, where t is the number of hours past midnight. How many calories is consumed between 4 A.M. and 9 A.M.? Please state the units on your answer
Homework Answers
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1.) Using a Riemann sum with n = 6 subintervals, find the
overestimate (i.e. upper Riemann...
11. (10 points) Using a Riemann sum with n= 6 subintervals, find the overestimate (i.e. upper...
11. (10 points) Using a Riemann sum with n= 6 subintervals, find the overestimate (i.e. upper Riemann sum) of the area of the region bounded above by the function f(x) = 2 - 3*+1 and below by the x-axis on the interval (0,3). You may give your answer in exact form or in decimal form correct to two decimal places.
(1 point) The following sum 5n n TI is a right Riemann sum for a certain definite integral f(x) dz using a partition of the interval [1, b] into n subintervals of equal length. Then the upper limit o...
(1 point) The following sum 5n n TI is a right Riemann sum for a certain definite integral f(x) dz using a partition of the interval [1, b] into n subintervals of equal length. Then the upper limit of integration must be: b6 and the integrand must be the function f(a)
(1 point) The following sum 5n n TI is a right Riemann sum for a certain definite integral f(x) dz using a partition of the interval [1, b] into...
1. (13 points) Use the limit of a Riemann Sum (i.e. sigma notation and the appropriate...
1. (13 points) Use the limit of a Riemann Sum (i.e. sigma notation and the appropriate summation formulas) to evaluate the net-signed area between the graph of f(0) = 23 – 3 and the interval (0, 2). Let 27 be the right endpoint of the k-th subinterval (where all subintervals have equal width). Give your answer as a single integer or frac- tion, whichever is appropriate. Using any technique other than a limit of a Riemann Sum will earn no...
Problem 1.A should read "How many calories is consumed between 4 A.M. and 9 A.M?" not...
Problem 1.A should read "How many calories is consumed between 4
A.M. and 9 A.M?" not " How much water is consumed between 4 A.M.
and 9 A.M?"
1. A (10 points) On a typical day, a person should consume calories at the rate of c(t) 50 + 24V - 2t2 calories per hour, where is the number of hours past midnight. How much water is consumed between 4 A.M. and 9 A.M.? Please state the units on your answer...
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...
Evaluate the Riemann sum for f(x) = 2x - 1,-6 SXS 4, with five subintervals, taking...
Evaluate the Riemann sum for f(x) = 2x - 1,-6 SXS 4, with five subintervals, taking the sample points to be right endpoints. Explain, with the aid of a diagram, what the Riemann sum represents. y y 7H 7 5: 5 3 3 1 1 -6 - 4 2 2 -3 -7H -74 -9 -9 -11 -11 -13 -13 WebAssign Plot -13 y 7H у 77 5 5 3 3 1 1 -6 -4 -2 -6 -4 -3 -3 -5H...
Calculate the left Riemann sum for the given function over the given interval, using the given...
Calculate the left Riemann sum for the given function over the given interval, using the given value of n. (When rounding, round your answer to four decimal places. If using the tabular method, values of the function in the table should be accurate to at least five decimal places.) HINT (See Example 2.) (x) = x over (1,5), n = 4 Enter an exact number. Need Help? Read Tato Tutor
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...
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...
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...
Use a Riemann sum with n=2 rectangles to estimate the area under the curve f(x) =3x2...
Use a Riemann sum with n=2 rectangles to estimate the area under the curve f(x) =3x2 +1 on the interval between x = 1 and x = 5. Get the heights from the left hand sides. What is the value of this Riemann sum? It has been determined that the cost of producing a units of a certain item is 5x + 325. The price per item is related to x by the equation p = D(x) = 50 -...
11. (10 points) Using a Riemann sum with n= 6 subintervals, find the overestimate (i.e. upper Riemann sum) of the area of the region bounded above by the function f(x) = 2 - 3*+1 and below by the x-axis on the interval (0,3). You may give your answer in exact form or in decimal form correct to two decimal places.
(1 point) The following sum 5n n TI is a right Riemann sum for a certain definite integral f(x) dz using a partition of the interval [1, b] into n subintervals of equal length. Then the upper limit of integration must be: b6 and the integrand must be the function f(a)
(1 point) The following sum 5n n TI is a right Riemann sum for a certain definite integral f(x) dz using a partition of the interval [1, b] into...
1. (13 points) Use the limit of a Riemann Sum (i.e. sigma notation and the appropriate summation formulas) to evaluate the net-signed area between the graph of f(0) = 23 – 3 and the interval (0, 2). Let 27 be the right endpoint of the k-th subinterval (where all subintervals have equal width). Give your answer as a single integer or frac- tion, whichever is appropriate. Using any technique other than a limit of a Riemann Sum will earn no...
Problem 1.A should read "How many calories is consumed between 4
A.M. and 9 A.M?" not " How much water is consumed between 4 A.M.
and 9 A.M?"
1. A (10 points) On a typical day, a person should consume calories at the rate of c(t) 50 + 24V - 2t2 calories per hour, where is the number of hours past midnight. How much water is consumed between 4 A.M. and 9 A.M.? Please state the units on your answer...
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...
Evaluate the Riemann sum for f(x) = 2x - 1,-6 SXS 4, with five subintervals, taking the sample points to be right endpoints. Explain, with the aid of a diagram, what the Riemann sum represents. y y 7H 7 5: 5 3 3 1 1 -6 - 4 2 2 -3 -7H -74 -9 -9 -11 -11 -13 -13 WebAssign Plot -13 y 7H у 77 5 5 3 3 1 1 -6 -4 -2 -6 -4 -3 -3 -5H...
Calculate the left Riemann sum for the given function over the given interval, using the given value of n. (When rounding, round your answer to four decimal places. If using the tabular method, values of the function in the table should be accurate to at least five decimal places.) HINT (See Example 2.) (x) = x over (1,5), n = 4 Enter an exact number. Need Help? Read Tato Tutor
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...
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...
Use a Riemann sum with n=2 rectangles to estimate the area under the curve f(x) =3x2 +1 on the interval between x = 1 and x = 5. Get the heights from the left hand sides. What is the value of this Riemann sum? It has been determined that the cost of producing a units of a certain item is 5x + 325. The price per item is related to x by the equation p = D(x) = 50 -...
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