polynomials (over R) injective? Sur- 3. 10] Under what conditions (if any) jective? Bijective? Explain your...
e the vector space of polynomials over R of degree less than 3. Define a quadratic form on V by a) Find the symmetric bilinear forma f such that q(p) = f(p, p). b) Consider the basis oy-(1,2-x U)o. c) Let R-(3,2-r, 4-2z +2.2} of V. Find the matrix {f}3: You may give your ,24 of V. Find the matrix answer as a product of matrices and/or their inverses. e the vector space of polynomials over R of degree less...
vi) Consider the following polynomials in the vector space of polynomials of degree 3 or less, P3. Pi(x) 12 +3r2 +a3 P2(x) 132 Pa(r) 1242 P4(z) = 1-r + 3r2 + 2r3 Which of the following statements are true and which are false? Explain your answer. a) The set {Pi, P2,P3} is a basis for P3. b) The set {Pi,P2, p3,P4,P5} İs a linearly independent set in P3. vi) Consider the following polynomials in the vector space of polynomials of...
What phase containing H20 under each of the following conditions. Show your work and explain your reasoning could phases exist in system or а Р, КРа v, m3 / kg H, kJ/kg Phase description T, °C 50 4.16 Saturated vapor 200 250 400 110 600 What phase containing H20 under each of the following conditions. Show your work and explain your reasoning could phases exist in system or а Р, КРа v, m3 / kg H, kJ/kg Phase description T,...
Under what conditions can a mixed strategy i that randomizes over two pure strategies si and s'i be weakly dominant for player i? Justify your answer.
1.) What is the order of reactivity of the following reagents under SN1 conditions? Under SN2 conditions? Draw the structures of each using the bond line method and explain your answers. 1-methyl-1-bromocyclohexane, 1-bromopropane, 2-bromohexane 2.) What is the order of reactivity of the following reagents under SN1 conditions? Under SN2 conditions? Explain your answers. CH3CH=CHBr, CH3CH=CHCH2Br, CH3CH2CH2Br 3.) We did not use crotyl chloride in this experiment. However, based on your knowledge of SN1 and SN2 predict the behavior of...
Question 2: Which of the following enolate ions is formed under thermodynamic conditions? Briefly explain your answer. or Enolate #1 Enolate #2
Should Jim Wright accept Japanese Tourist Agency’s offer under these conditions? EXPLAIN YOUR ANSWER FULLY. (A yes or no answer is not sufficient).
explain the following pricing strategies for new products and services and under what conditions a business owner should use them: 1. penetration 2. skimming 3. geographical pricing 4. life cycle pricing
Under standard conditions, what reaction occurs, if any, when each of the following operations are performed? For the reactions that occur, write a balanced, net ionic equation and calculate ℰ°, ΔG°, and K at 25°C. (Use the lowest possible coefficients. Include states-of-matter at 25°C and 1 atm in your answer. If an answer does not exist, enter DNE.) a. Cl2 gas is bubbled into a solution of NaI. ______________________________ ℰ° ____ V ΔG° ____ kJ K b. An acidic solution of...