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# Find an irreducible polynomial f (z) Z,[z] degree Justify your answer.(b) Let root of the polynomial you found in the previous item in an extension of Z; What is th...

## Question

###### Find an irreducible polynomial f (z) Z,[z] degree Justify your answer.(b) Let root of the polynomial you found in the previous item in an extension of Z; What is the cardinality of F = Zs(a)?With & as in the previous item find the minimal polynomial of 1/& and a2 +1 over Z;Determine the number of monic cubic irreducible polynomials over Z;

Find an irreducible polynomial f (z) Z,[z] degree Justify your answer. (b) Let root of the polynomial you found in the previous item in an extension of Z; What is the cardinality of F = Zs(a)? With & as in the previous item find the minimal polynomial of 1/& and a2 +1 over Z; Determine the number of monic cubic irreducible polynomials over Z;  #### Similar Solved Questions

##### 5.) DNAsel Footprinting You perform 4 DNAsel footprinting experiments All the experiments contain DNA Experiments 2,3, and also contain Protein which binds DNA in the indicaled position: DNA is labeled by radio labels on the indicated ends_ Arrows show posilions that DNAsel can cut Draw Ihe banding pattern you expect l0 see in the different experiments in (he box on the right: (30 points)2040608080 Iovasel outetetExpan rtentDNA |60Exponntont 2 DNA 140Expenitent }; DNA 120Expennent 4 DNA 1
5.) DNAsel Footprinting You perform 4 DNAsel footprinting experiments All the experiments contain DNA Experiments 2,3, and also contain Protein which binds DNA in the indicaled position: DNA is labeled by radio labels on the indicated ends_ Arrows show posilions that DNAsel can cut Draw Ihe banding ...
##### The figure shows & rectangle with length 20 and width 11_ Determine angle AOB in radians_20Decimal approximations will be marked incorrect: Symbolic trigonometric expressions such as arctan(5) are accepted_ ZAOB radians
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##### 3(10 Points)Evaluate the function([email protected])-962) (f(x)) =? (g 0 t)Given: f(x) = 2x2 + 1 g (x) = 3x + 1 t(x) = t3 +4x +15Enter your math answer
3 (10 Points) Evaluate the function ([email protected])-962) (f(x)) =? (g 0 t) Given: f(x) = 2x2 + 1 g (x) = 3x + 1 t(x) = t3 +4x +15 Enter your math answer...
##### @S-7 and QS-8 page 2575-7. Solve the following system using the crossing- graphs method:x+y=5 x-y = [5-8. Solve the system of equations from Exereise \$-7 by hand calculation.
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##### Calculate the average velocity for a remote controlled vehicle that starts with a velocity of I.0 mls [forward} and then accelerates at 0.08 m/s? {backward} for 4.0(m)10(s)
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##### Find the Ilmil Use /"Hospital's Rule where approprlate: If there is more elementary method, consider using It:cos(x) sink* )
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##### Problem 5 Alkylating agents Describe how an alkylating agent acts on nitrogenous bases b. Which two nitrogenous bases can be alkylated? What do each of the named bases above pair with after they have been alkylated? d. What type of mutations does this mutagen cause (if a substitution; be sure to state if it is a transition Or transversion)? How would this agent act on each base pair shown below? TA a G:C a A:Ta C:G a If an alkylating agent acted on the first T in the sequence shown underlined be
Problem 5 Alkylating agents Describe how an alkylating agent acts on nitrogenous bases b. Which two nitrogenous bases can be alkylated? What do each of the named bases above pair with after they have been alkylated? d. What type of mutations does this mutagen cause (if a substitution; be sure to sta...
##### The Vapor Pressure and Enthalpy of Vaporization of Water5373 5x 21.2WatorTriple point[-0136,0x . 24.0003300350,0037 IT(K)0.,00390.0041Figure 10-3 A In(P) versus I/T (Clausius-Clapeyron) plot for water in the range 20 to 20PC. The slope for the water line segment is 5373 K The slope for the ice line segment is 6136 K. The value of r = 1.0 indicates good fit to straight line: The enthalpy of vaporization can be calculated from the slope = of the water line segment and the enthalpy of sublimation f
The Vapor Pressure and Enthalpy of Vaporization of Water 5373 5x 21.2 Wator Triple point [ -0136,0x . 24.0 0033 0035 0,0037 IT(K) 0.,0039 0.0041 Figure 10-3 A In(P) versus I/T (Clausius-Clapeyron) plot for water in the range 20 to 20PC. The slope for the water line segment is 5373 K The slope for th...
##### Two long straight wires carry the same amount of current in the directions indicated. The wires cross each other in the plane of the paper Here; d= 3.40 cm and /= 6.90 AWhat is the magnetic field at point C? If the direction of the force is into the page; enter negative value:
Two long straight wires carry the same amount of current in the directions indicated. The wires cross each other in the plane of the paper Here; d= 3.40 cm and /= 6.90 A What is the magnetic field at point C? If the direction of the force is into the page; enter negative value:...
##### Amachinist turns the power on to a grinding wheel that is at rest, at time t=0. The wheel accelerates uniformly for 1Os and reaches an angular velocily 0138 radls CThe wheel is then run at that angular velocity for 30s. After Ihose 305, the off and the wheel slows down uniformly at 2.1 radls" until power is shut the wheel total angular displacement (in revolutions) stops: Find the to the time it of the wheel from the time it (s turned on comes to a stop. [40 = 266 rev]
Amachinist turns the power on to a grinding wheel that is at rest, at time t=0. The wheel accelerates uniformly for 1Os and reaches an angular velocily 0138 radls CThe wheel is then run at that angular velocity for 30s. After Ihose 305, the off and the wheel slows down uniformly at 2.1 radls" u...
##### A) Solve the following problem on its own sheet of blank paper Suppose a group of servers at a chain of restaurants earns an average of S113 per week in tips with a standard deviation of \$13. Assume all of the weekly tip amounts are normally distributed: Use the 68-95-99.7 rule to determine the percentage of servers in the restaurant chain expected to earn between S100 and \$139 in weekly tips. Keep all decimal places throughout your calculations and in your final answer You must include a labele
A) Solve the following problem on its own sheet of blank paper Suppose a group of servers at a chain of restaurants earns an average of S113 per week in tips with a standard deviation of \$13. Assume all of the weekly tip amounts are normally distributed: Use the 68-95-99.7 rule to determine the perc...
##### Quertion 20Does thc tablc ot values bclow represent an nvcnciy Dfonomonai rchnan 4*0 state Ihc constant variation Selcctall statemcnts that #pply:spes repesrnt Jn Irwersely propurtloral reaitlarstip 0 No not rpresent M1 Inversely poportkal tchuorshinTnre [ n1o conslwt = vrdstion0 I corstant &t van-Ition 5
Quertion 20 Does thc tablc ot values bclow represent an nvcnciy Dfonomonai rchnan 4*0 state Ihc constant variation Selcctall statemcnts that #pply: spes repesrnt Jn Irwersely propurtloral reaitlarstip 0 No not rpresent M1 Inversely poportkal tchuorshin Tnre [ n1o conslwt = vrdstion 0 I corstant &am...
##### Using known Taylor series, find the first four nonzero terms of the Taylor series about 0 for the function.\$\$e^{-x}\$\$
using known Taylor series, find the first four nonzero terms of the Taylor series about 0 for the function. \$\$e^{-x}\$\$...
##### You roll three dice and earn the sum of outcomes plus 3.Calculate your expected earnings
You roll three dice and earn the sum of outcomes plus 3. Calculate your expected earnings...
##### 1. (12.5 marks) Suppose X and Y are jointly continuous random variables with probability density function2 0 <x<2 0<y<l f(xy) = else a) (5 marks) Find P(X+Y < 2.00). b) (5 marks) Find P(Y X >0.25). (2.5 marks) Are X and Y independent? Justify your answer citing an appropriate theorem:
1. (12.5 marks) Suppose X and Y are jointly continuous random variables with probability density function 2 0 <x<2 0<y<l f(xy) = else a) (5 marks) Find P(X+Y < 2.00). b) (5 marks) Find P(Y X >0.25). (2.5 marks) Are X and Y independent? Justify your answer citing an appropriate theo...
##### Amctmnnlos Pogilan calpa[xuneter 728 inenmrcumeuc hc nott Ihan the wchdimensicne 4 Uxe conpix?"Wich I 103 Ir; Wennh 126 Mi Wialih /3 02 bctil I4m Wadth E 68 m, Jorkalh i 9Oin 0 D Wich I5 46 n, longth /5 68 In
Amctmnnlos Pogilan calpa [xuneter 728 in enmr cume uc hc nott Ihan the wch dimensicne 4 Uxe conpix? "Wich I 103 Ir; Wennh 126 Mi Wialih /3 02 bctil I4m Wadth E 68 m, Jorkalh i 9Oin 0 D Wich I5 46 n, longth /5 68 In...