Explanation Given Information: The provided radical expression is 18 p 5 q 2 r 11 108 p 3 q 6 r 9 . Formula used: The product rule for radicals is given as, The product of radicands square roots is equals to the square root of the product of the radicands. A ⋅ B = A ⋅ B Here, A and B are two non-negative radicands. The square root of the product of the radicands is equal the product of radicands square roots. A ⋅ B = A ⋅ B Here, A and B are two non-negative radicands. To take a square root of an even power of number or variable, the answer can be found by taking half of the exponent as, ( x n ) 2 = x n Calculation: Consider the radical expression is 18 p 5 q 2 r 11 108 p 3 q 6 r 9 . The product of the radical is calculated by product rule as, 18 p 5 q 2 r 11 108 p 3 q 6 r 9 = 18 p 5 q 2 r 11 ⋅ 108 p 3 q 6 r 9 = 18 p 5 q 2 r 11 ⋅ 108 p 3 q 6 r 9 = 1944 p 8 q 8 r <

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Author: Marvin L. Bittinger, Judith A. Beecher

Publisher: PEARSON

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Chapter 14.2, Problem 86ES

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To calculate: The value of radical expression 18p5q2r11108p3q6r9 by multiplying and further simplifying by factoring.

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Chapter 14.2, Problem 85ES

Chapter 14.2, Problem 87ES

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Assume a bivariate patch p(u, v) over the unit square [0, 1]² that is given as a tensor product patch where u-sections (u fixed to some constant û; v varying across [0, 1]) are quadratic polynomials Pu:û(v) = p(û, v) while v-sections are lines pv:ô (u) = p(u, v). The boundary lines pv:o(u) and pv:1 (u) are specified by their end points p(0,0) 0.8 and p(1,0) 0.2 as well as p(0, 1) 0.3 and p(1, 1) = 0.8. The boundary quadratics pu:o(v) and pu:1 (v) interpolate p(0,0.5) = 0.1 and p(1, 0.5) = 0.9 in addition to the above given four corner-values. = = = Use Pu:û(v) = (1, v, v² ) Mq (Pu:û(0), Pu:û (0.5), Pu:û(1)) with Ma = 1 0 0 -3 4-1 2 4 2 (Pv:ô as well as pu: (u) = (1, u) M₁ (pv:v (0), P: (1)) with M₁ = = (19) 0 to formulate p(u, v) using the "geometric input" G with G = = (P(0,0%) p(0,0) p(0,0.5) p(0,1) ) = ( 0.39 0.8 0.1 0.3 0.2 0.9 0.8 p(1,0) p(1, 0.5) p(1, 1) See the figure below for (left) a selection of iso-lines of p(u, v) and (right) a 3D rendering of p(u, v) as a height surface…

Chapter 14 Solutions

Developmental Mathematics (9th Edition)

Ch. 14.1 - Prob. 1SR Ch. 14.1 - Prob. 2SR Ch. 14.1 - Prob. 1DE Ch. 14.1 - Prob. 2DE Ch. 14.1 - Prob. 3DE Ch. 14.1 - Prob. 4DE Ch. 14.1 - Prob. 5DE Ch. 14.1 - Prob. 6DE Ch. 14.1 - Prob. 7DE Ch. 14.1 - Prob. 8DE

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The value of radical expression 18 p 5 q 2 r 11 108 p 3 q 6 r 9 by multiplying and further simplifying by factoring.

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To calculate: The value of radical expression 18p5q2r11108p3q6r9 by multiplying and further simplifying by factoring.

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Chapter 14 Solutions