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Calculus Solutions 8

# Calculus Solutions 8 - A-7 Answers to Odd-Numbered Problems...

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Answers to Odd-Numbered Problems A-7 Section 5.2 Antiderivatives (page 186) ix6+\$x6*P ' 3 32fi;2 5Qx413(1+21/3);q(i+21/3) 7 - 2 ~ 0 s x - ~ c o s 2 ~ ; ~ - 2 c o s i - ~ c o s 2 9xsinx+cosx;sin1+cos1-1 11isin2x;isin21 1 3 f = C ; O 15f(b)-f(a);f7-f2 5 , 36 ,oo 23 f(x) = 2& 25 5, below -1; + , q 1 7 8 + * 19:(1+&);:(3+fi);2 2 l 5 = m * 27 Increase - decrease; increase - decrease - increase 29 Area under B - area under D; time when B = D; time when B - D is largest 33 T; F; F; T; F Section 5.3 Summation Versus Integration (page 194) n n 7 x akxk; x sin - 9 5.18738; 7.48547 11 2(a; + 6;) 13 2" - 1; if - 1 5 F; T 1 7 \$ + C; fp - fs - fl + fo 1 9 fl = 1; n2 + (2n + 1) = (n + 1)2 21 a + b + c = 1,2a + 4b + 8c = 5,3a + 9b + 27c = 14; sum of squares 23 S4oO = 80200; E400 = .0025 = i 25 Sloo,l/3 w 350, Eloo,l/3 w .00587; Sloo,3 = 25502500, Eloas = .0201 27 vl and v2 have the same sign Section 5.4 Indefinite Integrals and Substitutions (page 200) 1 \$ ( 2 + x ) ~ / ~ + C ~ ( x + l ) " + ' / ( n + l ) + C ( n # - I ) 5 & ( ~ ~ + 1 ) ~ + C 7-+cos4z+C
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