19th Edition

ISBN: 9781506698212

Author: OpenStax

Publisher: XANEDU PUBLISHING

Concept explainers

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experime…

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Textbook Question

Chapter 1, Problem 472PT

Convert (a) 5 11 to a decimal (b) 1.15 to a percent

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Chapter 1, Problem 471PT

Chapter 1, Problem 473PT

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Assume that you fancy polynomial splines, while you actually need ƒ(t) = e²/3 – 1 for t€ [−1, 1]. See the figure for a plot of f(t). Your goal is to approximate f(t) with an inter- polating polynomial spline of degree d that is given as sa(t) = • Σk=0 Pd,k bd,k(t) so that sd(tk) = = Pd,k for tk = −1 + 2 (given d > 0) with basis functions bd,k(t) = Σi±0 Cd,k,i = • The special case of d 0 is trivial: the only basis function b0,0 (t) is constant 1 and so(t) is thus constant po,0 for all t = [−1, 1]. ...9 The d+1 basis functions bd,k (t) form a ba- sis Bd {ba,o(t), ba,1(t), bd,d(t)} of the function space of all possible sα (t) functions. Clearly, you wish to find out, which of them given a particular maximal degree d is the best-possible approximation of f(t) in the least- squares sense. _ 1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 -0.1 -0.2 -0.3 -0.4 -0.5 -0.6 -0.7 -0.8 -0.9 -1 function f(t) = exp((2t)/3) - 1 to project -1 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 0 0.1 0.2 0.3 0.4 0.5…

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Chapter 1 Solutions

INTERMEDIATE ALGEBRA (OER)

Ch. 1.1 - Is 4,962 divisible by (a) 2? (b) 3? (c) 5? (d) 6?...Ch. 1.1 - Is 3,765 divisible by (a) 2? (b) 3? (c) 5? (d) 6?...Ch. 1.1 - Find the prime factorization of 80.Ch. 1.1 - Find the prime factorization of 60.Ch. 1.1 - Find the LCM of 9 and 12 using the Prime Factors...Ch. 1.1 - Find the LCM of 18 and 24 using the Prime Factors...Ch. 1.1 - Simplify: 305+10(32) .Ch. 1.1 - Simplify: 7010+4(62) .Ch. 1.1 - Simplify: 9+53[4(9+3)].Ch. 1.1 - Simplify: 722[4(5+1)].

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