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Problems in Mathematical Analysis.pdf - pwp.net.ipl.pt

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474 Answers<br />

3131. a) 0.211; 0.389; 0.490; 0.660; b) 0. 229; 0.399; 0.491; 0.664. 3132. 1822;<br />

0.1993; 0.2165; 0.2334; 0.2503. 3133. \+x + x* + x*. 3134. y = ~ x 4<br />

oe QC<br />

+ ^T x 2<br />

T2 JC + 8; J/^ 22 fr x = 5.5; = 20 for x^5.2. H<strong>in</strong>t. When comput<strong>in</strong>g<br />

A; for 20 take 11. 3135. The <strong>in</strong>terpolat<strong>in</strong>g polynomial is y x 2<br />

10x4- 1;<br />

0=1 when x = 0. 3136. 158 kg! (approximately). 3137. a) 0(0.5)-= 1,<br />

0(2)=11; b) 0(0.5) = -, J/t 2)^ 3 - 3138 - I- 325 3139. 1.01.<br />

3140. 1.86; 0.25; 2.11. 3141. 2.09. 3142. 2 45 and 019. 3143. 0.31 and 4<br />

3144. 2.506. 3145. 0.02. 3146. 024. 3147. 1 27 3148. 1.88; 35; 1 53<br />

3149.<br />

3154.<br />

3157.<br />

1.84. 3150. 1.31 and 0.67. 3151. 7.13. 3152.<br />

1.72. 3155. 138 3156. x = 0.83; = 056;<br />

*=1.67; 0=1 22. 3158. 4 493. 3159. 1 1997<br />

0.165. 3153. 1.73 and 0.<br />

x- 0.83; i/= 0.56<br />

3160. By the trapezoidal<br />

formula, 11.625; by Simpson's formula, 11 417.<br />

0.5/<br />

3161. 995; 1; 0.005;<br />

; A^O.005. 3162. 0.3068; A = 1.3-10- s . 3163. 069 3164. 0.79.<br />

3165. 0.84. 3166. 0.28. 3167. 0.10. 3168. 1 61. 3169. 1.85 3170. 0.09.<br />

3171. 0.67. 3172. 0.75. 3173. 0.79. 3174. 4.93. 3175. 1 29. H<strong>in</strong>t. Make use<br />

of the parametric equation of the ellipse x cost, 0-= 0.6222 s<strong>in</strong>/

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