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# (7 marks) Suppose X countable_ and A 5 an infinite substt o X_ Show tbat councable, clearly stating any results JOu use from the course...

## Question

###### (7 marks) Suppose X countable_ and A 5 an infinite substt o X_ Show tbat councable, clearly stating any results JOu use from the course

(7 marks) Suppose X countable_ and A 5 an infinite substt o X_ Show tbat councable, clearly stating any results JOu use from the course  #### Similar Solved Questions

##### Not Given include the rational Write 3 inequality final il 8 interval lain the Vincludes but does
not Given include the rational Write 3 inequality final il 8 interval lain the V includes but does...
##### Assume in each part that: I = [0,1], f : I _ I (that is, Vr â‚¬ I, f(c) â‚¬ I) that f â‚¬ C1(T) , and If' (2) < 3 Vx â‚¬ I.(a) Prove that Jp â‚¬ Iwith f(p) = P.(b) For any â‚¬1 â‚¬ I, define a sequence En)neN by iteration, Tn+l f(en) , Hn â‚¬ N. Prove that(cn+l pl2 len ~ pl, Vn e N.(c) Use induction to show that |xn plC1 - pl; Vn â‚¬ N. 2n-1(d) Prove that lim Tn = p_ n-00(e) Prove that p is unique: that is, if q â‚¬ I and f(q) = q then q = P
Assume in each part that: I = [0,1], f : I _ I (that is, Vr â‚¬ I, f(c) â‚¬ I) that f â‚¬ C1(T) , and If' (2) < 3 Vx â‚¬ I. (a) Prove that Jp â‚¬ Iwith f(p) = P. (b) For any â‚¬1 â‚¬ I, define a sequence En)neN by iteration, Tn+l f(en) , Hn â‚¬ N. Prove that (...
##### Joe Chemist discovers that a certain reaction has rate of 00 x 102 moleculeslsec at 278C and the activation energy is z0OkJlmole_ At what temperature should run the reaction obtain exactly Avogadro'5 Number; 6.02 * 10* moleculeslsec? (R =8.31 x 10 * kJlmole K)307+
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##### Find an equabon 0r the line tangent to tne given 6x + 4x &3* =Drapningtangent Iin e on the sare set 0i x2}The equation for the tangent Iine "[email protected]
Find an equabon 0r the line tangent to tne given 6x + 4x & 3* = Drapning tangent Iin e on the sare set 0i x2} The equation for the tangent Iine "[email protected]
##### Ne nouneocicyAc[ oCEN M =4and nrom Maleal Malcna 2 I Ic K Indocnt 1 polrt 4 at the dalcal Inolc ncnuten Mitnal A Anl ZcM rcirection at Point Y and tol tnc nibsl aralc 87 instead lioht /2 Incideri at 8 st thc cnbcranal torthc Intertace bewcen mutcnols 2 Jnj Khat Yeiclthe aralc Trracicn ard (irthe Initial engle Imtedd all tnal, Laht ndcant Dcria Jrewsler > engle theaaterecuhatertenMalenab mhat are (@} the arau nerracon (T} ta Inekial angleHumenWyuEHcugia(5} Nu tber 4a 705 Rane 7144t(deancesCdg
ne nouneocicyAc[ o CEN M =4and n rom Maleal Malcna 2 I Ic K Indocnt 1 polrt 4 at the dalcal Inolc ncnuten Mitnal A Anl ZcM rcirection at Point Y and tol tnc nibsl aralc 87 instead lioht /2 Incideri at 8 st thc cnbcranal torthc Intertace bewcen mutcnols 2 Jnj Khat Yeiclthe aralc Trracicn ard (irthe ...
##### 20.00 mL of a HzSO4 solution with an unknown concentration a 0.1285 M NaOH solution . was titrated to a phenolphthalein endpoint with 47.05 mL of What is the concentration of the HzSO4 solution?[HzSO4]
20.00 mL of a HzSO4 solution with an unknown concentration a 0.1285 M NaOH solution . was titrated to a phenolphthalein endpoint with 47.05 mL of What is the concentration of the HzSO4 solution? [HzSO4]...
##### Suppose that A is 2X2 matrix with eigenvectors 2 V1 = Vz=[1 2 which correspond to -3 4, = 3,42 = 2 respectively: Find the general solution to the system X' = AXnone2t 2 y=C1e= +C2 â‚¬ e 3t  -33t 2 +C2 â‚¬ e 2t y =C1e 27 -33t 2 [1 2 y =C1e +C2 E e 2t { +t -3 2 -33t 2 2t 1 y =C1e +c2te -3 2
Suppose that A is 2X2 matrix with eigenvectors 2 V1 = Vz=[1 2 which correspond to -3 4, = 3,42 = 2 respectively: Find the general solution to the system X' = AX none 2t 2 y=C1e= +C2 â‚¬ e 3t  -3 3t 2 +C2 â‚¬ e 2t y =C1e 27 -3 3t 2 [1 2 y =C1e` +C2 E e 2t { +t -3 2 -3 3t 2 2t 1 y =C1...
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##### (Type His olnt Winana paid 5155 for 4 1 cost 1 1 1 4unchon 1 1 Millad Kuw" 1 1 ~statt$whcn sho I Younq ad Msits Ihe z00 # HaueIAA 1 1 9 59!$ njjesllcd( 1 [ H ui 1
(Type His olnt Winana paid 5155 for 4 1 cost 1 1 1 4unchon 1 1 Millad Kuw" 1 1 ~statt$whcn sho I Younq ad Msits Ihe z00 # HaueIAA 1 1 9 59!$ njjesllcd( 1 [ H ui 1...
##### For Ihe following exercises graph Ihe nquations and shade the area 0l tha reglon between Ihe curves. Daterrnine Its araa by inteqrating over [he *MIs 20 ^ = j and. = 3y-2
For Ihe following exercises graph Ihe nquations and shade the area 0l tha reglon between Ihe curves. Daterrnine Its araa by inteqrating over [he *MIs 20 ^ = j and. = 3y-2...
##### A compound microscope has the objective and eyepiece mounted in a tube that is 18.0 $\mathrm{cm}$ long. The focal length of the eyepiece is $2.62 \mathrm{cm},$ and the near-point distance of the person using the microscope is 25.0 $\mathrm{cm} .$ If the person can view the image produced by the microscope with a completely relaxed eye, and the magnification is $-4525,$ what is the focal length of the objective?
A compound microscope has the objective and eyepiece mounted in a tube that is 18.0 $\mathrm{cm}$ long. The focal length of the eyepiece is $2.62 \mathrm{cm},$ and the near-point distance of the person using the microscope is 25.0 $\mathrm{cm} .$ If the person can view the image produced by the mi...
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Let f(x) is; and 9 (x) = Then (f.9) (-4) 1 The value 32* 18 ; che exponential equation: U9 ? Express the logarithmic function logs Zy=r exponential for 20: - A " - 2 .5* {7 21 . loz {= 5 1og 10g 1og log og log Y Pg: 4...
##### Match the cultural or technological change with the species thatdeveloped it FIRST. Not all species names may be used, and any species namemay be used more than once BUT there is only ONE correct answer foreach question.41. burial of dead: A B C D E a) H. sapiens42. stone tools: A B C D E b) N
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