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State whether T20 underestimates or overestimates the integral 2 5e-x/4 dx T20 underestimates the integral. T20...
Sec6.5: Problem 6 Previous Problem List Next (2 points) Book Problem 17 4, to approximate the integral 7e dx (a) Use th...
Sec6.5: Problem 6 Previous Problem List Next (2 points) Book Problem 17 4, to approximate the integral 7e dx (a) Use the Midpoint Rule, with n MA (Round your answers to six decimal places.) (b) Compute the value of the definite integral in part (a) using your calculator, such as MATH 9 on the TI83/84 or 2ND 7 on the TI-89. 7edx (c) The error involved in the approximation of part (a) is Ем — Те ах Ма (d) The...
Estimate 5 cos(x2) dx using the Trapezoidal Rule and the Midpoint Rule, each with n =...
Estimate 5 cos(x2) dx using the Trapezoidal Rule and the Midpoint Rule, each with n = 4. (Round your answers to six decimal places.) (a) the Trapezoidal Rule 4.476250 x (b) the Midpoint Rule 4.544562 x From a graph of the integrand, decide whether your answers are underestimates or overestimates. T4 is an underestimate O T4 is an overestimate O M4 is an underestimate O M4 is an overestimate
10 points Save Answer 4 2 Calculate the iterated integral So yet? dx dy. You might...
10 points Save Answer 4 2 Calculate the iterated integral So yet? dx dy. You might find it easier if you reverse the order 3 of integration. Round your answer to 2 decimal places.
1. (a) Find L4 and R4 for the integral 1 (x sin x/2) dx Show the...
1. (a) Find L4 and R4 for the integral
1 (x sin x/2) dx
Show the setup and round the answer to threedecimal places.
(b) Find M4 for the integral
1 (x sin x/2) dx . Show the setup and round the answer to four
decimal places.
Sketch the approximating rectangles on the graph.
(c) Compare the estimates with the actual value
1 (x sin x/2) dx
10.243 . Which estimate is the most accurate?
(d) Express the integral from...
Question 2 please 1 and 2, determine whether or not the integral is In exercises improper. If it is improper, explain why 12. (a) 12 x-2/5 dx 「x-2/5 dx 「x2/5 dx (b) (c) I. (a) 0 13. (a 40 1 dx 2 x...
Question 2 please
1 and 2, determine whether or not the integral is In exercises improper. If it is improper, explain why 12. (a) 12 x-2/5 dx 「x-2/5 dx 「x2/5 dx (b) (c) I. (a) 0 13. (a 40 1 dx 2 x 14. (a In exercises 3-18, determine whether the integral converges or diverges. Find the value of the integral if it converges. 15. (a (b)人1x-4/3 dr 3, (a) l.lyMdx (b) x43 dx 16. (a 4. (a) 45 dx...
x-5 dx. ) Evaluate the definite integral S 22-3x+2 Determine whether the improper integral S, dx...
x-5 dx. ) Evaluate the definite integral S 22-3x+2 Determine whether the improper integral S, dx converges. If convergent, find its value.
2. Since it is difficult to evaluate the integral / e dx exactly, we will approximate it using Maclaurin 0 polynomials...
2. Since it is difficult to evaluate the integral / e dx exactly, we will approximate it using Maclaurin 0 polynomials (a) Determine Pa(x), the 4th degree Maclaurin polynomial of the integrand e (b) Obtain an upper bound on the error in the integrand for a in the range 0 S x 1/2, when the integrand is approximated by Pi (r) (c) Find an approximation to the original integral by integrating Pa(x) (d) Obtain an upper bound on the error...
Find the midpoint rule approximations to the following integral. 3 X dx using n 1, 2, and 4 subintervals. 1 M(1)- (...
Find the midpoint rule approximations to the following integral. 3 X dx using n 1, 2, and 4 subintervals. 1 M(1)- (Simplify your answer. Type an integer or a decimal.)
Find the midpoint rule approximations to the following integral. 3 X dx using n 1, 2, and 4 subintervals. 1 M(1)- (Simplify your answer. Type an integer or a decimal.)
5." 9 sin(x) dx. (Round your answers to six decimal places.) (a) Find the approximations T10,...
5." 9 sin(x) dx. (Round your answers to six decimal places.) (a) Find the approximations T10, M10, and S10 for T10- M10 = S10= Find the corresponding errors ET, Em, and Es. (Round your answers to six decimal places.) ET= EM= Es= (b) Compare the actual errors in part (a) with the error estimates given by the Theorem about Error Bounds for Trapezoidal and Midpoint Rules and the Theorem about Error Bound for Simpson's Rule. (Round your answers to six...
letter d please 1. Given y = Vx+3. a) Find the linearization L (x) of the...
letter d please
1. Given y = Vx+3. a) Find the linearization L (x) of the function at a = 1. (3pts) b) Find the linear approximation of the function at a = 1 and use it to approximate 13.98 an 4.05. Are these approximations overestimates or underestimates? Why? (5pts) c) Calculate Ay and dy (round to 3 decimal places) d) Sketch a diagram to show the line with x= 1 and dx = Ar=0.5. segments with length Ar=dx, Ay,...
Sec6.5: Problem 6 Previous Problem List Next (2 points) Book Problem 17 4, to approximate the integral 7e dx (a) Use the Midpoint Rule, with n MA (Round your answers to six decimal places.) (b) Compute the value of the definite integral in part (a) using your calculator, such as MATH 9 on the TI83/84 or 2ND 7 on the TI-89. 7edx (c) The error involved in the approximation of part (a) is Ем — Те ах Ма (d) The...
Estimate 5 cos(x2) dx using the Trapezoidal Rule and the Midpoint Rule, each with n = 4. (Round your answers to six decimal places.) (a) the Trapezoidal Rule 4.476250 x (b) the Midpoint Rule 4.544562 x From a graph of the integrand, decide whether your answers are underestimates or overestimates. T4 is an underestimate O T4 is an overestimate O M4 is an underestimate O M4 is an overestimate
10 points Save Answer 4 2 Calculate the iterated integral So yet? dx dy. You might find it easier if you reverse the order 3 of integration. Round your answer to 2 decimal places.
1. (a) Find L4 and R4 for the integral
1 (x sin x/2) dx
Show the setup and round the answer to threedecimal places.
(b) Find M4 for the integral
1 (x sin x/2) dx . Show the setup and round the answer to four
decimal places.
Sketch the approximating rectangles on the graph.
(c) Compare the estimates with the actual value
1 (x sin x/2) dx
10.243 . Which estimate is the most accurate?
(d) Express the integral from...
Question 2 please
1 and 2, determine whether or not the integral is In exercises improper. If it is improper, explain why 12. (a) 12 x-2/5 dx 「x-2/5 dx 「x2/5 dx (b) (c) I. (a) 0 13. (a 40 1 dx 2 x 14. (a In exercises 3-18, determine whether the integral converges or diverges. Find the value of the integral if it converges. 15. (a (b)人1x-4/3 dr 3, (a) l.lyMdx (b) x43 dx 16. (a 4. (a) 45 dx...
x-5 dx. ) Evaluate the definite integral S 22-3x+2 Determine whether the improper integral S, dx converges. If convergent, find its value.
2. Since it is difficult to evaluate the integral / e dx exactly, we will approximate it using Maclaurin 0 polynomials (a) Determine Pa(x), the 4th degree Maclaurin polynomial of the integrand e (b) Obtain an upper bound on the error in the integrand for a in the range 0 S x 1/2, when the integrand is approximated by Pi (r) (c) Find an approximation to the original integral by integrating Pa(x) (d) Obtain an upper bound on the error...
Find the midpoint rule approximations to the following integral. 3 X dx using n 1, 2, and 4 subintervals. 1 M(1)- (Simplify your answer. Type an integer or a decimal.)
Find the midpoint rule approximations to the following integral. 3 X dx using n 1, 2, and 4 subintervals. 1 M(1)- (Simplify your answer. Type an integer or a decimal.)
5." 9 sin(x) dx. (Round your answers to six decimal places.) (a) Find the approximations T10, M10, and S10 for T10- M10 = S10= Find the corresponding errors ET, Em, and Es. (Round your answers to six decimal places.) ET= EM= Es= (b) Compare the actual errors in part (a) with the error estimates given by the Theorem about Error Bounds for Trapezoidal and Midpoint Rules and the Theorem about Error Bound for Simpson's Rule. (Round your answers to six...
letter d please
1. Given y = Vx+3. a) Find the linearization L (x) of the function at a = 1. (3pts) b) Find the linear approximation of the function at a = 1 and use it to approximate 13.98 an 4.05. Are these approximations overestimates or underestimates? Why? (5pts) c) Calculate Ay and dy (round to 3 decimal places) d) Sketch a diagram to show the line with x= 1 and dx = Ar=0.5. segments with length Ar=dx, Ay,...
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