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2. (2 pts per part) Determine which sets are bases for R2 or Rs. Justify your...
Determine which sets in Exercises 1-8 are bases for R3. Of the sets that are not...
Determine which sets in Exercises 1-8 are bases for R3. Of the sets that are not bases, determine which ones are linearly independent and which ones span R. Justify your answers. ( 0
Please justify your answers : Which of the following sets are compact: i. {(z, y)E R...
Please justify your answers :
Which of the following sets are compact: i. {(z, y)E R 2 - 2y2 < 1} ii. {(, y) R22 < 2x2 + y2 < 4} ii. {(esin(ar), e cos(x)) R2: x 2 0}U {(x,0) E R2 : 0 iv. {(esin(0), e cos (0)) R2 x 2 0, 00 2r} x< 1}
1. Determine if the following pair of sets is equivalent. Justify your answer. {1, 2, 3,...
1. Determine if the following pair of sets is equivalent. Justify your answer. {1, 2, 3, 4, 5, 6, 7} and {a, ...) 2. Decide whether the following statement is true or false. Justify your answer. {x:x is letter in the word "rat") sty:y is a letter in the word "smart") 3. Represent the following set using a Venn Diagram: AU(B-C) U B C
Determine if the following sets are subspaces. Explain your answer 1. The unit disk in R2,...
Determine if the following sets are subspaces. Explain your answer 1. The unit disk in R2, that is the set {(r, y) E R2 r2y s 2. The plane 2 3y 0 in R3 1)
2. Let Wi-((a, b, c) : a-c-b), W2-((a, b, c) : ab>0), W3-((z, y,z) : r2+92+22£1} be subsets of R3 (a) Determine which of these subsets is a subspace of R3. Justify your answer. (b) For the subsets...
2. Let Wi-((a, b, c) : a-c-b), W2-((a, b, c) : ab>0), W3-((z, y,z) : r2+92+22£1} be subsets of R3 (a) Determine which of these subsets is a subspace of R3. Justify your answer. (b) For the subsets which are subspaces, find a basis and the dimension for each of them
2. Let Wi-((a, b, c) : a-c-b), W2-((a, b, c) : ab>0), W3-((z, y,z) : r2+92+22£1} be subsets of R3 (a) Determine which of these subsets is a subspace...
2. Determine whether the given sets are countable or uncountable. Justify each answer with a bijection...
2. Determine whether the given sets are countable or uncountable. Justify each answer with a bijection (or table like we did with Q+) or using results from class/textbook. (a) {0, 1, 2} * N (b) A = {(x, y) : x2 + y2 = 1} (c) {0, 1} R Che set of all 2-element subsets of N (e) Real numbers with decimal representations consists of all 1s. (f) The set of all functions from {0,1} to N
PLEASE explain your answers to f-h, which ask for answers of the form increases, decreases, or...
PLEASE explain your answers to f-h, which ask for answers of the
form increases, decreases, or stay the same and why.
7 6 2 Part f If R, increases, the voltage drop across R2 Part g If Rs increases,the voltage drop acros R Part h If all 3 variable resistors increase, the emf of the battery (assuming internal resistance r 0)
Please try to do all parts. Thanks! ple 2. Find 3. Determine which of the following series converge. Justify your co...
Please try to do all parts. Thanks!
ple 2. Find 3. Determine which of the following series converge. Justify your conclusions with the appro -1)" In n (c) Σ dots not 4. Suppose we know that 0 S on S 1/n S an and that 0sn S1/n2 sd for all n. (a) Which of the series Σα", Σ h,De-, and Σ d" definitely converge? Justify your answer. (b) Which of the series Σα", Σ " Σ c", and Σ d"...
e3) Wavelength Which spectomeri m Justify your answer. (6 pts) 2-
e3) Wavelength Which spectomeri m Justify your answer. (6 pts) 2-
This Question: 3 pts 3 of 3 (1 complete) Find the value(s) of h for which...
This Question: 3 pts 3 of 3 (1 complete) Find the value(s) of h for which the vectors are linearly dependent Justify your answer 11 -31 2 3101 The value(s) of h which makes the vectors linearly dependent is(are)because this will cause xto be avariable (Use a comma to separate answers as needed.) free basic
Determine which sets in Exercises 1-8 are bases for R3. Of the sets that are not bases, determine which ones are linearly independent and which ones span R. Justify your answers. ( 0
Please justify your answers :
Which of the following sets are compact: i. {(z, y)E R 2 - 2y2 < 1} ii. {(, y) R22 < 2x2 + y2 < 4} ii. {(esin(ar), e cos(x)) R2: x 2 0}U {(x,0) E R2 : 0 iv. {(esin(0), e cos (0)) R2 x 2 0, 00 2r} x< 1}
1. Determine if the following pair of sets is equivalent. Justify your answer. {1, 2, 3, 4, 5, 6, 7} and {a, ...) 2. Decide whether the following statement is true or false. Justify your answer. {x:x is letter in the word "rat") sty:y is a letter in the word "smart") 3. Represent the following set using a Venn Diagram: AU(B-C) U B C
Determine if the following sets are subspaces. Explain your answer 1. The unit disk in R2, that is the set {(r, y) E R2 r2y s 2. The plane 2 3y 0 in R3 1)
2. Let Wi-((a, b, c) : a-c-b), W2-((a, b, c) : ab>0), W3-((z, y,z) : r2+92+22£1} be subsets of R3 (a) Determine which of these subsets is a subspace of R3. Justify your answer. (b) For the subsets which are subspaces, find a basis and the dimension for each of them
2. Let Wi-((a, b, c) : a-c-b), W2-((a, b, c) : ab>0), W3-((z, y,z) : r2+92+22£1} be subsets of R3 (a) Determine which of these subsets is a subspace...
2. Determine whether the given sets are countable or uncountable. Justify each answer with a bijection (or table like we did with Q+) or using results from class/textbook. (a) {0, 1, 2} * N (b) A = {(x, y) : x2 + y2 = 1} (c) {0, 1} R Che set of all 2-element subsets of N (e) Real numbers with decimal representations consists of all 1s. (f) The set of all functions from {0,1} to N
PLEASE explain your answers to f-h, which ask for answers of the
form increases, decreases, or stay the same and why.
7 6 2 Part f If R, increases, the voltage drop across R2 Part g If Rs increases,the voltage drop acros R Part h If all 3 variable resistors increase, the emf of the battery (assuming internal resistance r 0)
Please try to do all parts. Thanks!
ple 2. Find 3. Determine which of the following series converge. Justify your conclusions with the appro -1)" In n (c) Σ dots not 4. Suppose we know that 0 S on S 1/n S an and that 0sn S1/n2 sd for all n. (a) Which of the series Σα", Σ h,De-, and Σ d" definitely converge? Justify your answer. (b) Which of the series Σα", Σ " Σ c", and Σ d"...
e3) Wavelength Which spectomeri m Justify your answer. (6 pts) 2-
This Question: 3 pts 3 of 3 (1 complete) Find the value(s) of h for which the vectors are linearly dependent Justify your answer 11 -31 2 3101 The value(s) of h which makes the vectors linearly dependent is(are)because this will cause xto be avariable (Use a comma to separate answers as needed.) free basic
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