Prealgebra & Introductory Algebra (4th Edition)
4th Edition
ISBN: 9780321955791
Author: Elayn Martin-Gay
Publisher: PEARSON
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Question
Chapter B, Problem 2E
To determine
To find:
The factorisation of the given binomial.
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4.7 Use forward and backward difference approximations of O(h)
and a centered difference approximation of O(h²) to estimate the
first derivative of the function examined in Prob. 4.5. Evaluate the
derivative at x = 2 using a step size of h = 0.2. Compare your results
with the true value of the derivative. Interpret your results on the
basis of the remainder term of the Taylor series expansion.
• Plane II is spanned by the vectors:
P12
P2 = 1
• Subspace W is spanned by the vectors:
W₁ =
-- () ·
2
1
W2 =
0
but use the series for cosx
Chapter B Solutions
Prealgebra & Introductory Algebra (4th Edition)
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Similar questions
- 4.5 Use zero- through third-order Taylor series expansions to predict f(2.5) for f(x) = 25x³- 6x²+7x - 88 using a base point at x = 1. Compute the true percent relative error ε, for each approximation.arrow_forward11. Find the composition fog and gof for the following functions. 2 (a) f(x) = 2x+5, g(x) = x² 2 (b) f(x) = x²+x, g(x) = √√x 1 (c) f(x) = -1/2) 9 9(x) = х = - Xarrow_forwardpractice problem please help!arrow_forward
- 13. A restaurant will serve a banquet at a cost of $20 per person for the first 50 people and $15 for person for each additional person. (a) Find a function C giving the cost of the banquet depending on the number of people p attending. (b) How many people can attend the banquet for $2000?arrow_forward4.3 Perform the same computation as in Prob. 4.2, but use the Maclaurin series expansion for sin x to estimate sin(л/6). sin x=x- 3x15 3! 5! 7! +arrow_forwardAlt Fn Ctrl 12. Find functions f and g such that h(x) = (fog)(x). (a) h(x) = (x² + 2)² x+1 (b) h(x) = 5 3arrow_forward
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