Please do questions 21, 25, 29, and 33.
Thanks!
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Please do questions 21, 25, 29, and 33.
Thanks!
In Exercises 21 - 24, approximate the...
I don't understand how to find the bounds on the error for number 21 and 23
I don't understand how to find the bounds on the error for
number 21 and 23
20, f(x) = x2 cos x, n = 2, c = π and a In Exercises 21-24, approximate the function value with the indicated Taylor polynomial and give approximate bounds on the error. etter 21. Approximate sin 0.1 with the Maclaurin polynomial of de- gree 3. gree 22. Approximate cos 1 with the Maclaurin polynomial of de- gree 4. gree 23. Approximate v10 with...
In Exercises 1-8, use Theorem 10.1 to find a bound for the error in approximating the quantity wi...
In Exercises 1-8, use Theorem 10.1 to find a bound for the error in approximating the quantity with a third-degree Taylor polynomial for the given function f(z) about 0. Com- pare the bound with the actual error. 2. sin(0.2),f(x)= sin x Theorem 10.1: The Lagrange Error Bound for Pn(a) Suppose f and all its derivatives are continuous. If P,() is the nth Taylor polynomial for f(a) about a, then n-+1 where f(n+) M on the interval between a and a....
I need help on questions 17, 21, and 25. Thanks! In Exercises 9-24, a power series...
I need help on questions 17, 21, and 25.
Thanks!
In Exercises 9-24, a power series is given. (a) Find the radius of convergence. (b) Find the interval of convergence. 17. Σvnx n=0 18. Σ n=0 19. 31 (x – 5)" n! n=0 20. Σ(-1)"n!(x – 10) n=0 21. η2 n=1 In Exercises 25 – 30, a function f(x) = ax" is given. (a) Give a power series for f'(x) and its interval of conver- gence. (b) Give a power...
DOUBLE ANGLE IDENTITIES: In excercises 24-42, Verify each identity. #’s 25, 29, 33, 37, 41 please...
DOUBLE ANGLE IDENTITIES:
In excercises 24-42, Verify each identity.
#’s 25, 29, 33, 37, 41 please and thank you!
In Exerci 23. cs 25>(sinx-cosx)(cosx + sinx) =-cos(2x) ises 23-42, verify each identity. o(24)= cscA secA 1 + cos(2x ) 27. cos2x= cost-sin4x = cos(2x) 31. 8sin2xcos2x= 1-cos(4x 33)- sec2x =-2 sin?rcsc"(2x) 35. sin(3x) = sinx(4cos2x-1) 39, sin(4x) = sin(2x)(2-4sin%) G) sin(4x) = 2sinx cosx-4sin3x cos tan(4x) = 4(sinx)(cosx)[cos(2x)] 1 2sin (2x)
7. (25) Solve the following problems. (a) Find the limit (b) Find the interval of convergence of the following power series 0O TL Tl n-1 (c) Find the sum of the following power series and determine t...
7. (25) Solve the following problems. (a) Find the limit (b) Find the interval of convergence of the following power series 0O TL Tl n-1 (c) Find the sum of the following power series and determine the largest set on which your formula is valid n= 1 (d) Let f(x) = cosa. Find T6(2), the Taylor polynomial of f at zo = 0 with degree 6 (e) Calculate the Maclaurin series for the following functio f(x) = In
7. (25)...
Please write the steps, thanks. 13. a. Approximate the given quantity using a Taylor polynomial with n b. Compute the absolute error in the approximation assuming the exact value is given by a cal...
Please write the steps, thanks.
13. a. Approximate the given quantity using a Taylor polynomial with n b. Compute the absolute error in the approximation assuming the exact value is given by a calculator 3. 266 a. P3 (266) (Do not round until the final answer. Then round to five decimal places as needed.) b. absolute error se scientific notation. Use the multiplication symbol in the math palette as needed. Do not round until the final answer. Then round to...
Please explain the solution and write clearly for nu, ber 25. Thanks. 25. Approximate the following functions f(x) as a linear combination of the first four Legendre polynomials over the interval [-...
Please explain the solution and write clearly for nu, ber 25.
Thanks.
25. Approximate the following functions f(x) as a linear combination of the first four Legendre polynomials over the interval [-1,1]: Lo(x) = 1, Li(x) = x, L2(x) = x2-1. L3(x) = x3-3x/5. (a) f(x) = X4 (b) f(x) = k (c) f(x) =-1: x < 0, = 1: x 0 Example 8. Approximating e by Legendre Polynomials Let us use the first four Legendre polynomials Lo(x) 1, Li(x)...
please solve 21 and 25 only u want to use integration by parts to find J...
please solve 21 and 25 only
u want to use integration by parts to find J (5.x - 7) (x - 1) 4 dx, which is the better choice for u: U = 5x – 7 or u = (x - 1) 4? Explain your choice and then integrate. B blems 15–28 are mixed—some require integration by parts, others can be solved with techniques considered earlier. ntegrate as indicated, assuming x > 0 whenever the natural logarithm function is involved....
23 24 25 26 27 28 29 30 - 31 32 33 34 In the Periodic...
23 24 25 26 27 28 29 30 - 31 32 33 34 In the Periodic Table below, shade all the elements for which the neutral atom has a valence electron configuration of n s mp', where n stands for an integer. H Li Be Na Mg K Ca Sc Rb Sr Y Cs Ba La Fr Ra Ac He BC N O F Ne Al Si P S Clar TV Cr Mn Fe Co Ni Cu Zn Ga Ge...
Please respond these math problems In Exercises 17-19, Use the graph to determine a. The functions...
Please respond these math problems
In Exercises 17-19, Use the graph to determine a. The functions domain b. The function's range: C. The X-intercepts, if any, a the y- untercept, if there is one e. Intervals on which the function is increasing, decreasing, or constant; and F. the missing function values indicated by question marks, below each graph. 17. y = f(x) y y 18. 3 2 1 2+ 1 2 3 4 -11 1 2 3 4 5 -2...
I don't understand how to find the bounds on the error for
number 21 and 23
20, f(x) = x2 cos x, n = 2, c = π and a In Exercises 21-24, approximate the function value with the indicated Taylor polynomial and give approximate bounds on the error. etter 21. Approximate sin 0.1 with the Maclaurin polynomial of de- gree 3. gree 22. Approximate cos 1 with the Maclaurin polynomial of de- gree 4. gree 23. Approximate v10 with...
In Exercises 1-8, use Theorem 10.1 to find a bound for the error in approximating the quantity with a third-degree Taylor polynomial for the given function f(z) about 0. Com- pare the bound with the actual error. 2. sin(0.2),f(x)= sin x Theorem 10.1: The Lagrange Error Bound for Pn(a) Suppose f and all its derivatives are continuous. If P,() is the nth Taylor polynomial for f(a) about a, then n-+1 where f(n+) M on the interval between a and a....
I need help on questions 17, 21, and 25.
Thanks!
In Exercises 9-24, a power series is given. (a) Find the radius of convergence. (b) Find the interval of convergence. 17. Σvnx n=0 18. Σ n=0 19. 31 (x – 5)" n! n=0 20. Σ(-1)"n!(x – 10) n=0 21. η2 n=1 In Exercises 25 – 30, a function f(x) = ax" is given. (a) Give a power series for f'(x) and its interval of conver- gence. (b) Give a power...
DOUBLE ANGLE IDENTITIES:
In excercises 24-42, Verify each identity.
#’s 25, 29, 33, 37, 41 please and thank you!
In Exerci 23. cs 25>(sinx-cosx)(cosx + sinx) =-cos(2x) ises 23-42, verify each identity. o(24)= cscA secA 1 + cos(2x ) 27. cos2x= cost-sin4x = cos(2x) 31. 8sin2xcos2x= 1-cos(4x 33)- sec2x =-2 sin?rcsc"(2x) 35. sin(3x) = sinx(4cos2x-1) 39, sin(4x) = sin(2x)(2-4sin%) G) sin(4x) = 2sinx cosx-4sin3x cos tan(4x) = 4(sinx)(cosx)[cos(2x)] 1 2sin (2x)
7. (25) Solve the following problems. (a) Find the limit (b) Find the interval of convergence of the following power series 0O TL Tl n-1 (c) Find the sum of the following power series and determine the largest set on which your formula is valid n= 1 (d) Let f(x) = cosa. Find T6(2), the Taylor polynomial of f at zo = 0 with degree 6 (e) Calculate the Maclaurin series for the following functio f(x) = In
7. (25)...
Please write the steps, thanks.
13. a. Approximate the given quantity using a Taylor polynomial with n b. Compute the absolute error in the approximation assuming the exact value is given by a calculator 3. 266 a. P3 (266) (Do not round until the final answer. Then round to five decimal places as needed.) b. absolute error se scientific notation. Use the multiplication symbol in the math palette as needed. Do not round until the final answer. Then round to...
Please explain the solution and write clearly for nu, ber 25.
Thanks.
25. Approximate the following functions f(x) as a linear combination of the first four Legendre polynomials over the interval [-1,1]: Lo(x) = 1, Li(x) = x, L2(x) = x2-1. L3(x) = x3-3x/5. (a) f(x) = X4 (b) f(x) = k (c) f(x) =-1: x < 0, = 1: x 0 Example 8. Approximating e by Legendre Polynomials Let us use the first four Legendre polynomials Lo(x) 1, Li(x)...
please solve 21 and 25 only
u want to use integration by parts to find J (5.x - 7) (x - 1) 4 dx, which is the better choice for u: U = 5x – 7 or u = (x - 1) 4? Explain your choice and then integrate. B blems 15–28 are mixed—some require integration by parts, others can be solved with techniques considered earlier. ntegrate as indicated, assuming x > 0 whenever the natural logarithm function is involved....
23 24 25 26 27 28 29 30 - 31 32 33 34 In the Periodic Table below, shade all the elements for which the neutral atom has a valence electron configuration of n s mp', where n stands for an integer. H Li Be Na Mg K Ca Sc Rb Sr Y Cs Ba La Fr Ra Ac He BC N O F Ne Al Si P S Clar TV Cr Mn Fe Co Ni Cu Zn Ga Ge...
Please respond these math problems
In Exercises 17-19, Use the graph to determine a. The functions domain b. The function's range: C. The X-intercepts, if any, a the y- untercept, if there is one e. Intervals on which the function is increasing, decreasing, or constant; and F. the missing function values indicated by question marks, below each graph. 17. y = f(x) y y 18. 3 2 1 2+ 1 2 3 4 -11 1 2 3 4 5 -2...
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