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3.) Determine, if possible, a nontrivial homomorphism between the indicated groups or explain why no such...
(more questions will be posted today in about 6 hrs from now.) December 8, 2018 WORK ALL PROBLEMS. SHOW WORK & INDICATE REASONING \ 1.) Let σ-(13524)(2376)(4162)(3745). Express σ as a product...
(more questions will be posted today in about 6 hrs
from now.)
December 8, 2018 WORK ALL PROBLEMS. SHOW WORK & INDICATE REASONING \ 1.) Let σ-(13524)(2376)(4162)(3745). Express σ as a product of disjoint cycles Express σ as a product of 2 cycles. Determine the inverse of σ. Determine the order of ơ. Determine the orbits of ơ 2) Let ф : G H be a homomorphism from group G to group H. Show that G is. one-to-one if and...
1. Suppose that 0: Z15 → Zo is a group homomorphism and (5) = 3. (15...
1. Suppose that 0: Z15 → Zo is a group homomorphism and (5) = 3. (15 pts) (a) Find (1) (b) Determine $(x) for any x € Z15. (Hint: use 0(1)) (c) Determine the image of o: Im(0) = (Z15) = {Q(x)x € Z15} = { (d) Determine the kernel of o: ker(0) = {
I have to use the following theorems to determine whether or not it is possible for...
I have to use the following theorems to determine whether or not
it is possible for the given orders to be simple.
Theorem 1: |G|=1 or prime, then it is simple.
Theorem 2: If |G| = (2 times an odd integer), the G is not
simple.
Theorem 3: n is an element of positive integers, n is not prime,
p is prime, and p|n.
If 1 is the only divisor of n that is congruent to 1 (mod p)
then...
1. Why is it possible to use density as a way to identify and determine purity...
1. Why is it possible to use density as a way to identify and determine purity of substances? 2. What relationship exists vetwren concentration of solution and its density? Explain.
8. Are there other possible isomers of 2-methylpentane/3- methylpentane? If so, what are they? If not,...
8. Are there other possible isomers of 2-methylpentane/3- methylpentane? If so, what are they? If not, why not? (10 pts.) Part III 9. Explain how the name of the molecules indicated what functional groups were present in the molecule. Give examples for at least 5 functional groups. (15 pts.) What properties of a molecule do functional groups effect? Name at least two. (15 pts.) 10. Part IV: 11 What are the differences between structural isomers and stereoisomers? (8 pts.) Determine...
mints) Give the following examples if possible. If it is not possible, explain why. You do...
mints) Give the following examples if possible. If it is not possible, explain why. You do not have ove the properties hold 2 points) A list of 4 vectors in Rồ that is linearly independent. (3 points) A subspace W of R* that is complementary to V = | 22 23=0, 1334=0 =) (4 points) A linear map T:R?R? with image(T) - ker(T) = span ()
In 3 to 4 sentences, explain why there exists a correlation between electrostatic potential and acid...
In 3 to 4 sentences, explain why there exists a correlation between electrostatic potential and acid strength? Does Adipic Acid follow this trend or does it appear to be an outlier? Explain.
(6 points) Determine if the following is possible for some real number z. Explain why using...
(6 points) Determine if the following is possible for some real number z. Explain why using a full sentence(s). (a) (2 points) cos(z) = 3.2 (b) (2 points) sec(z) = 6 (c) (2 points) cot(T) = z
Determine if there exists a linear transformation T: R2 -> R2 with the following properties. If...
Determine if there exists a linear transformation T: R2 -> R2
with the following properties.
If yes, give an example. If no, explain why such a
transformation is not possible.
(4) Determine if there exists a linear transformation T: R2 + R2 with the following properties. If yes, give an example. If no, explain why such a transformation is not possible. (a) T is one-to-one and onto. (b) T is not one-to-one. (c) T is not onto. (d) T is...
Determine the conformational preferences (axial or equatorial) for the two indicated groups in the lowest energy...
Determine the conformational preferences (axial or equatorial) for the two indicated groups in the lowest energy ring flip of the molecule below. A - equatorial, B - equatorial A-equatorial, B-axial A - axial. B- equatorial A-axial, B-axial Which of the following molecules are chiral? A only B and D only D only A B and D What is the relationship between molecules A and B? They are enantiomers They are diastereomers They are the same They are constitutional isomers
(more questions will be posted today in about 6 hrs
from now.)
December 8, 2018 WORK ALL PROBLEMS. SHOW WORK & INDICATE REASONING \ 1.) Let σ-(13524)(2376)(4162)(3745). Express σ as a product of disjoint cycles Express σ as a product of 2 cycles. Determine the inverse of σ. Determine the order of ơ. Determine the orbits of ơ 2) Let ф : G H be a homomorphism from group G to group H. Show that G is. one-to-one if and...
1. Suppose that 0: Z15 → Zo is a group homomorphism and (5) = 3. (15 pts) (a) Find (1) (b) Determine $(x) for any x € Z15. (Hint: use 0(1)) (c) Determine the image of o: Im(0) = (Z15) = {Q(x)x € Z15} = { (d) Determine the kernel of o: ker(0) = {
I have to use the following theorems to determine whether or not
it is possible for the given orders to be simple.
Theorem 1: |G|=1 or prime, then it is simple.
Theorem 2: If |G| = (2 times an odd integer), the G is not
simple.
Theorem 3: n is an element of positive integers, n is not prime,
p is prime, and p|n.
If 1 is the only divisor of n that is congruent to 1 (mod p)
then...
8. Are there other possible isomers of 2-methylpentane/3- methylpentane? If so, what are they? If not, why not? (10 pts.) Part III 9. Explain how the name of the molecules indicated what functional groups were present in the molecule. Give examples for at least 5 functional groups. (15 pts.) What properties of a molecule do functional groups effect? Name at least two. (15 pts.) 10. Part IV: 11 What are the differences between structural isomers and stereoisomers? (8 pts.) Determine...
mints) Give the following examples if possible. If it is not possible, explain why. You do not have ove the properties hold 2 points) A list of 4 vectors in Rồ that is linearly independent. (3 points) A subspace W of R* that is complementary to V = | 22 23=0, 1334=0 =) (4 points) A linear map T:R?R? with image(T) - ker(T) = span ()
(6 points) Determine if the following is possible for some real number z. Explain why using a full sentence(s). (a) (2 points) cos(z) = 3.2 (b) (2 points) sec(z) = 6 (c) (2 points) cot(T) = z
Determine if there exists a linear transformation T: R2 -> R2
with the following properties.
If yes, give an example. If no, explain why such a
transformation is not possible.
(4) Determine if there exists a linear transformation T: R2 + R2 with the following properties. If yes, give an example. If no, explain why such a transformation is not possible. (a) T is one-to-one and onto. (b) T is not one-to-one. (c) T is not onto. (d) T is...
Determine the conformational preferences (axial or equatorial) for the two indicated groups in the lowest energy ring flip of the molecule below. A - equatorial, B - equatorial A-equatorial, B-axial A - axial. B- equatorial A-axial, B-axial Which of the following molecules are chiral? A only B and D only D only A B and D What is the relationship between molecules A and B? They are enantiomers They are diastereomers They are the same They are constitutional isomers
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