EBK FINITE MATHEMATICS AND CALCULUS WIT
10th Edition
ISBN: 8220102020252
Author: RITCHEY
Publisher: PEARSON
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Chapter R.5, Problem 32E
To determine
To solve: The inequality
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The power station has three different hydroelectric turbines, each with a known (and unique)
power function that gives the amount of electric power generated as a function of the water
flow arriving at the turbine. The incoming water can be apportioned in different volumes to
each turbine, so the goal of this project is to determine how to distribute water among the
turbines to give the maximum total energy production for any rate of flow.
Using experimental evidence and Bernoulli's equation, the following quadratic models were
determined for the power output of each turbine, along with the allowable flows of operation:
6
KW₁ = (-18.89 +0.1277Q1-4.08.10 Q) (170 - 1.6 · 10¯*Q)
KW2 = (-24.51 +0.1358Q2-4.69-10 Q¹²) (170 — 1.6 · 10¯*Q)
KW3 = (-27.02 +0.1380Q3 -3.84-10-5Q) (170 - 1.6-10-ºQ)
where
250 Q1 <1110, 250 Q2 <1110, 250 <3 < 1225
Qi = flow through turbine i in cubic feet per second
KW
=
power generated by turbine i in kilowatts
Hello! Please solve this practice problem step by step thanks!
Hello, I would like step by step solution on this practive problem please and thanks!
Chapter R Solutions
EBK FINITE MATHEMATICS AND CALCULUS WIT
Ch. R.1 - Perform the operation 3(x24x5)4(3x25x7)Ch. R.1 - Perform the operation (3y+2)(4y22y5).Ch. R.1 - Find (2x+7)(3x1) using the FOIL method.Ch. R.1 - Find (3x+2y)3.Ch. R.1 - Perform the indicated operations....Ch. R.1 - Perform the indicated operations....Ch. R.1 - Perform the indicated operations....Ch. R.1 - Perform the indicated operations....Ch. R.1 - Perform the indicated operations....Ch. R.1 - Perform the indicated operations....
Ch. R.1 - Perform the indicated operations. 7.9m(2m2+3m1)Ch. R.1 - Perform the indicated operations. 86x(2x3+5x+6)Ch. R.1 - Prob. 9ECh. R.1 - Perform the indicated operations. 10.(9k+q)(2kq)Ch. R.1 - Perform the indicated operations. 11.(23x)(2+3x)Ch. R.1 - Perform the indicated operations. 12.(6m+5)(6m5)Ch. R.1 - Perform the indicated operations....Ch. R.1 - Perform the indicated operations....Ch. R.1 - Perform the indicated operations....Ch. R.1 - Perform the indicated operations....Ch. R.1 - Perform the indicated operations....Ch. R.1 - Perform the indicated operations....Ch. R.1 - Perform the indicated operations....Ch. R.1 - Perform the indicated operations....Ch. R.1 - Perform the indicated operations....Ch. R.1 - Perform the indicated operations. 22.(x1)(x+2)(x3)Ch. R.1 - Perform the indicated operations. 23.(x+2)2Ch. R.1 - Perform the indicated operations. 24.(2a4b)2Ch. R.1 - Perform the indicated operations. 25.(x2y)3Ch. R.1 - Perform the indicated operations. 26.(3y+y)3Ch. R.2 - Factor 4z4+4z3+18z2.Ch. R.2 - Factor x23x10.Ch. R.2 - Factor 6a2+5ab4b2.Ch. R.2 - Factor each polynomial. If a polynomial cannot he...Ch. R.2 - Prob. 2ECh. R.2 - Prob. 3ECh. R.2 - Prob. 4ECh. R.2 - Prob. 5ECh. R.2 - Prob. 6ECh. R.2 - Prob. 7ECh. R.2 - Prob. 8ECh. R.2 - Prob. 9ECh. R.2 - Prob. 10ECh. R.2 - Prob. 11ECh. R.2 - Prob. 12ECh. R.2 - Prob. 13ECh. R.2 - Prob. 14ECh. R.2 - Prob. 15ECh. R.2 - Prob. 16ECh. R.2 - Factor each polynomial. If a polynomial cannot be...Ch. R.2 - Prob. 18ECh. R.2 - Factor each polynomial. If a polynomial cannot be...Ch. R.2 - Prob. 20ECh. R.2 - Factor each polynomial. If a polynomial cannot be...Ch. R.2 - Prob. 22ECh. R.2 - Prob. 23ECh. R.2 - Prob. 24ECh. R.2 - Prob. 25ECh. R.2 - Prob. 26ECh. R.2 - Prob. 27ECh. R.2 - Prob. 28ECh. R.2 - Factor each polynomial. If a polynomial cannot be...Ch. R.2 - Prob. 30ECh. R.2 - Prob. 31ECh. R.2 - Prob. 32ECh. R.3 - Write in lowest terms z2+5z+62z2+7z+3.Ch. R.3 - Prob. 2YTCh. R.3 - Write each rational expression in lowest terms....Ch. R.3 - Prob. 2ECh. R.3 - Write each rational expression in lowest terms....Ch. R.3 - Prob. 4ECh. R.3 - Write each rational expression in lowest terms....Ch. R.3 - Prob. 6ECh. R.3 - Write each rational expression in lowest terms....Ch. R.3 - Prob. 8ECh. R.3 - Write each rational expression in lowest terms....Ch. R.3 - Prob. 10ECh. R.3 - Write each rational expression in lowest terms....Ch. R.3 - Prob. 12ECh. R.3 - Prob. 13ECh. R.3 - Prob. 14ECh. R.3 - Prob. 15ECh. R.3 - Perform the indicated operations. 16.a316a332Ch. R.3 - Perform the indicated operations. 17.2k1664k323Ch. R.3 - Prob. 18ECh. R.3 - Prob. 19ECh. R.3 - Perform the indicated operations....Ch. R.3 - Prob. 21ECh. R.3 - Prob. 22ECh. R.3 - Prob. 23ECh. R.3 - Prob. 24ECh. R.3 - Prob. 25ECh. R.3 - Prob. 26ECh. R.3 - Prob. 27ECh. R.3 - Perform the indicated operations. 28.16m+25m+4mCh. R.3 - Prob. 29ECh. R.3 - Prob. 30ECh. R.3 - Prob. 31ECh. R.3 - Prob. 32ECh. R.3 - Prob. 33ECh. R.3 - Prob. 34ECh. R.3 - Prob. 35ECh. R.3 - Prob. 36ECh. R.3 - Prob. 37ECh. R.3 - Prob. 38ECh. R.4 - Solve 3x7=4(5x+2)7x.Ch. R.4 - Solve 2m2+7m=15.Ch. R.4 - Solve z2+6=8z.Ch. R.4 - Solve 1x24+2x2=1x.Ch. R.4 - Prob. 1ECh. R.4 - Prob. 2ECh. R.4 - Solve each equation. 3.0.2m0.5=0.1m+0.7Ch. R.4 - Prob. 4ECh. R.4 - Solve each equation. 5.3r+25(r+1)=6r+4Ch. R.4 - Solve each equation. 6.5(a+3)+4a5=(2a4)Ch. R.4 - Solve each equation. 7.2[3m2(3m)4]=6m4Ch. R.4 - Solve each equation. 8.4[2p(3p)+5]=7p2Ch. R.4 - Solve each equation by factoring or by using the...Ch. R.4 - Prob. 10ECh. R.4 - Solve each equation by factoring or by using the...Ch. R.4 - Solve each equation by factoring or by using the...Ch. R.4 - Solve each equation by factoring or by using the...Ch. R.4 - Solve each equation by factoring or by using the...Ch. R.4 - Solve each equation by factoring or by using the...Ch. R.4 - Solve each equation by factoring or by using the...Ch. R.4 - Solve each equation by factoring or by using the...Ch. R.4 - Solve each equation by factoring or by using the...Ch. R.4 - Solve each equation by factoring or by using the...Ch. R.4 - Solve each equation by factoring or by using the...Ch. R.4 - Prob. 21ECh. R.4 - Prob. 22ECh. R.4 - Solve each equation by factoring or by using the...Ch. R.4 - Solve each equation by factoring or by using the...Ch. R.4 - Solve each equation by factoring or by using the...Ch. R.4 - Solve each equation by factoring or by using the...Ch. R.4 - Prob. 27ECh. R.4 - Prob. 28ECh. R.4 - Solve each equation. 29.4x382x+5+3x3=0Ch. R.4 - Solve each equation. 30.5p27p+2=12p24Ch. R.4 - Solve each equation. 31.2mm26m=12m22mCh. R.4 - Solve each equation. 32.2yy1=5y+108yy2yCh. R.4 - Solve each equation. 33.1x23xx1=2x+1x23x+2Ch. R.4 - Solve each equation. 34.5a+7a+1=a22a+4a2+aCh. R.4 - Solve each equation. 35.5b+54b2+2b=6b2+7b+10Ch. R.4 - Solve each equation. 36.2x22x3+5x2x6=1x2+3x+2Ch. R.4 - Prob. 37ECh. R.5 - Prob. 1YTCh. R.5 - Prob. 2YTCh. R.5 - Prob. 3YTCh. R.5 - Prob. 1ECh. R.5 - Prob. 2ECh. R.5 - Write each expression in interval notation, Graph...Ch. R.5 - Write each expression in interval notation, Graph...Ch. R.5 - Prob. 5ECh. R.5 - Prob. 6ECh. R.5 - Using the variable x, write each interval as an...Ch. R.5 - Prob. 8ECh. R.5 - Using the variable x, write each interval as an...Ch. R.5 - Prob. 10ECh. R.5 - Prob. 11ECh. R.5 - Prob. 12ECh. R.5 - Using the variable x, write each interval as an...Ch. R.5 - Prob. 14ECh. R.5 - Prob. 15ECh. R.5 - Prob. 16ECh. R.5 - Prob. 17ECh. R.5 - Prob. 18ECh. R.5 - Solve each inequality and graph the solution....Ch. R.5 - Prob. 20ECh. R.5 - Prob. 21ECh. R.5 - Prob. 22ECh. R.5 - Solve each inequality and graph the solution....Ch. R.5 - Prob. 24ECh. R.5 - Prob. 25ECh. R.5 - Prob. 26ECh. R.5 - Prob. 27ECh. R.5 - Prob. 28ECh. R.5 - Prob. 29ECh. R.5 - Prob. 30ECh. R.5 - Solve each inequality. Graph each solution....Ch. R.5 - Prob. 32ECh. R.5 - Prob. 33ECh. R.5 - Prob. 34ECh. R.5 - Prob. 35ECh. R.5 - Prob. 36ECh. R.5 - Prob. 37ECh. R.5 - Prob. 38ECh. R.5 - Prob. 39ECh. R.5 - Prob. 40ECh. R.5 - Prob. 41ECh. R.5 - Prob. 42ECh. R.5 - Prob. 43ECh. R.5 - Prob. 44ECh. R.5 - Solve each inequality. 45.k1k+21Ch. R.5 - Prob. 46ECh. R.5 - Prob. 47ECh. R.5 - Prob. 48ECh. R.5 - Prob. 49ECh. R.5 - Prob. 50ECh. R.5 - Prob. 51ECh. R.5 - Prob. 52ECh. R.5 - Prob. 53ECh. R.5 - Prob. 54ECh. R.6 - Prob. 1YTCh. R.6 - Prob. 2YTCh. R.6 - Prob. 3YTCh. R.6 - Prob. 4YTCh. R.6 - Prob. 5YTCh. R.6 - Prob. 6YTCh. R.6 - Prob. 1ECh. R.6 - Prob. 2ECh. R.6 - Prob. 3ECh. R.6 - Prob. 4ECh. R.6 - Prob. 5ECh. R.6 - Prob. 6ECh. R.6 - Prob. 7ECh. R.6 - Prob. 8ECh. R.6 - Prob. 9ECh. R.6 - Prob. 10ECh. R.6 - Prob. 11ECh. R.6 - Prob. 12ECh. R.6 - Prob. 13ECh. R.6 - Prob. 14ECh. R.6 - Prob. 15ECh. R.6 - Prob. 16ECh. R.6 - Prob. 17ECh. R.6 - Prob. 18ECh. R.6 - Prob. 19ECh. R.6 - Prob. 20ECh. R.6 - Prob. 21ECh. R.6 - Prob. 22ECh. R.6 - Prob. 23ECh. R.6 - Prob. 24ECh. R.6 - Prob. 25ECh. R.6 - Prob. 26ECh. R.6 - Write each number without exponents. 27.1211/2Ch. R.6 - Prob. 28ECh. R.6 - Prob. 29ECh. R.6 - Prob. 30ECh. R.6 - Prob. 31ECh. R.6 - Prob. 32ECh. R.6 - Prob. 33ECh. R.6 - Prob. 34ECh. R.6 - Prob. 35ECh. R.6 - Prob. 36ECh. R.6 - Prob. 37ECh. R.6 - Prob. 38ECh. R.6 - Prob. 39ECh. R.6 - Prob. 40ECh. R.6 - Prob. 41ECh. R.6 - Prob. 42ECh. R.6 - Prob. 43ECh. R.6 - Prob. 44ECh. R.6 - Prob. 45ECh. R.6 - Prob. 46ECh. R.6 - Prob. 47ECh. R.6 - Simplify each expression. Write all answers with...Ch. R.6 - Prob. 49ECh. R.6 - Prob. 50ECh. R.6 - Prob. 51ECh. R.6 - Prob. 52ECh. R.6 - Prob. 53ECh. R.6 - Prob. 54ECh. R.6 - Prob. 55ECh. R.6 - Prob. 56ECh. R.7 - Simplify 28x9y5.Ch. R.7 - Rationalize the denominator in 5xy.Ch. R.7 - Rationalize the numerator in 4+x16x.Ch. R.7 - Simplify each expression by removing as many...Ch. R.7 - Simplify each expression by removing as many...Ch. R.7 - Simplify each expression by removing as many...Ch. R.7 - Prob. 4ECh. R.7 - Simplify each expression by removing as many...Ch. R.7 - Simplify each expression by removing as many...Ch. R.7 - Prob. 7ECh. R.7 - Prob. 8ECh. R.7 - Simplify each expression by removing as many...Ch. R.7 - Simplify each expression by removing as many...Ch. R.7 - Simplify each expression by removing as many...Ch. R.7 - Simplify each expression by removing as many...Ch. R.7 - Simplify each expression by removing as many...Ch. R.7 - Simplify each expression by removing as many...Ch. R.7 - Simplify each expression by removing as many...Ch. R.7 - Prob. 16ECh. R.7 - Simplify each expression by removing as many...Ch. R.7 - Prob. 18ECh. R.7 - Simplify each expression by removing as many...Ch. R.7 - Prob. 20ECh. R.7 - Simplify each expression by removing as many...Ch. R.7 - Prob. 22ECh. R.7 - Prob. 23ECh. R.7 - Prob. 24ECh. R.7 - Prob. 25ECh. R.7 - Simplify each root, if possible. 26.9k2+h2Ch. R.7 - Rationalize each denominator. Assume that all...Ch. R.7 - Prob. 28ECh. R.7 - Rationalize each denominator. Assume that all...Ch. R.7 - Prob. 30ECh. R.7 - Rationalize each denominator. Assume that all...Ch. R.7 - Prob. 32ECh. R.7 - Rationalize each denominator. Assume that all...Ch. R.7 - Prob. 34ECh. R.7 - Rationalize each denominator. Assume that all...Ch. R.7 - Prob. 36ECh. R.7 - Prob. 37ECh. R.7 - Prob. 38ECh. R.7 - Rationalize each denominator. Assume that all...Ch. R.7 - Rationalize each denominator. Assume that all...Ch. R.7 - Rationalize each denominator. Assume that all...Ch. R.7 - Prob. 42ECh. R.7 - Prob. 43ECh. R.7 - Rationalize each denominator. Assume that all...
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