Estimate the area of the region under the curve y = In(x) for 1 s x s 6. Use the left-hand rule with n = 50. (Round your answer to four decimal places.) Numerical integration tool 1.4
Consider the following. 5 x f(x) 0 x 5 5 x 10 x - 5 10 Find the exact value of f(x) dx 10
Homework Answers
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...
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...
Speedometer readings for a motorcycle at 12-second intervals are given in the table. t(s) 0 12...
Speedometer readings for a motorcycle at 12-second intervals are given in the table. t(s) 0 12 24 36 48 60 v (ft/s) 30 27 25 21 25 28 (a) Estimate the distance traveled by the motorcycle during this time period using the velocities at the beginning of the time intervals. Enter an exact number. (b) Give another estimate using the velocities at the end of the time periods. (c) Are your estimates in parts (a) and (b) upper and lower...
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...
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...
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...
(4) (12 points) Given the following values of f(x), use integration by parts to evaluate Put...
(4) (12 points) Given the following values of f(x), use integration by parts to evaluate Put the numerical value in an answer box. xf"(x) dx. 2 f(0) 1'0 0 1 2 3 4 5 4 5 3 -2 17 -3 3 0 -5 23
12 (12) Use the given table to estimate 1.° f (t)dt by averaging left and right...
12 (12) Use the given table to estimate 1.° f (t)dt by averaging left and right sums. Give the values of n and At. fo) 0 5 10 7 20 10 30 9 40 8 Extra Credit (5) Find the indefinite integral: (.dx
1. Numerical Integration The integral of a function f(x) for a s x S b can be interpreted as the ...
1. Numerical Integration The integral of a function f(x) for a s x S b can be interpreted as the area between the f(x) curve and the x axis, bounded by the limits x- a and x b. If we denote this area by A, then we can write A as A-f(x)dx A sophisticated method to find the area under a curve is to split the area into trapezoidal elements. Each trapezoid is called a panel. 1.2 0.2 1.2 13...
For problems 8-12, use the graph of y=f(x) and the table for g(x) and g'(x) to...
For problems 8-12, use the graph of y=f(x) and the table for g(x) and g'(x) to compute the indicated derivatives. Write your final answer and only your final answer) in the space provided. Answers should be exact and fractions should be used where appropriate (do not use numbers in decimal form). 1 -4 -2 g(x) 2 5/2 3 14/5 &'(x) 7/5 1/2 1/4 -1/4 0 2 قيا 2 - 1 -2 - 1/2 4 0 5 6 8 1 6...
please use matlab 100 Let f(x) for questions 8, 9, 10 8. Make a function file...
please use matlab
100 Let f(x) for questions 8, 9, 10 8. Make a function file for f(3) = I 100 I f.m function y = f(x) 9. Estimate f'(-5) by making a limit table with 5 rows. >> format long >> clearf . >> h = >> [h; (f(x+h) - f(x))./h]' ans = 0.100000000000000 -4.081632653061220 0.010000000000000 -4.008016032064176 0.001000000000000 -4.000800160032013 0.000100000000000 -4.000080001596017 0.000010000000000 10. Find R4, the Regular Right Sum with 4 rectangles, in order to approximate f(x) dx >>...
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...
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...
Speedometer readings for a motorcycle at 12-second intervals are given in the table. t(s) 0 12 24 36 48 60 v (ft/s) 30 27 25 21 25 28 (a) Estimate the distance traveled by the motorcycle during this time period using the velocities at the beginning of the time intervals. Enter an exact number. (b) Give another estimate using the velocities at the end of the time periods. (c) Are your estimates in parts (a) and (b) upper and lower...
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...
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...
(4) (12 points) Given the following values of f(x), use integration by parts to evaluate Put the numerical value in an answer box. xf"(x) dx. 2 f(0) 1'0 0 1 2 3 4 5 4 5 3 -2 17 -3 3 0 -5 23
12 (12) Use the given table to estimate 1.° f (t)dt by averaging left and right sums. Give the values of n and At. fo) 0 5 10 7 20 10 30 9 40 8 Extra Credit (5) Find the indefinite integral: (.dx
1. Numerical Integration The integral of a function f(x) for a s x S b can be interpreted as the area between the f(x) curve and the x axis, bounded by the limits x- a and x b. If we denote this area by A, then we can write A as A-f(x)dx A sophisticated method to find the area under a curve is to split the area into trapezoidal elements. Each trapezoid is called a panel. 1.2 0.2 1.2 13...
For problems 8-12, use the graph of y=f(x) and the table for g(x) and g'(x) to compute the indicated derivatives. Write your final answer and only your final answer) in the space provided. Answers should be exact and fractions should be used where appropriate (do not use numbers in decimal form). 1 -4 -2 g(x) 2 5/2 3 14/5 &'(x) 7/5 1/2 1/4 -1/4 0 2 قيا 2 - 1 -2 - 1/2 4 0 5 6 8 1 6...
please use matlab
100 Let f(x) for questions 8, 9, 10 8. Make a function file for f(3) = I 100 I f.m function y = f(x) 9. Estimate f'(-5) by making a limit table with 5 rows. >> format long >> clearf . >> h = >> [h; (f(x+h) - f(x))./h]' ans = 0.100000000000000 -4.081632653061220 0.010000000000000 -4.008016032064176 0.001000000000000 -4.000800160032013 0.000100000000000 -4.000080001596017 0.000010000000000 10. Find R4, the Regular Right Sum with 4 rectangles, in order to approximate f(x) dx >>...
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...
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