5.1.10. (a) Explain in detail why the minimizer of Iv- bll coincides with the minimizer of v- bl?...
1/2 b dr Problem 1: Suppose that [a, b] exists R, and let V be the space of all functions for which and is finite. For two functions f and g in V and a scalar A e R, define addition and scalar multiplication the usual way: (Af)(x) f(x) f(x)g(r) and (fg)(x) Verify that the set V equipped with the above operations is a vector space. This space is called L2[a, b 1/2 b dr Problem 1: Suppose that [a,...
1. Is the power supply for a transformer AC or DC? Explain in detail why only this type of power supply will work. 2. Some configurations with the iron core have low efficiency while others have high efficiency. What is the iron core doing to cause this? Be specific. (Hint: think about how a transformer works.) 3. For an ideal transformer the energy must be conserved, so the average power (P=IV) in the two circuits must be equal. Therefore, if...
why (b)? explain in detail of the thought process of how the answer came to be. point out how to use the periodic table on this one if it can be used. I am just super confused. . Refer to Ch. 18 Values. Which response contains all the salts whose aqueous solutions are acidic, and no other salts? I. IV. NH4NO3 II. NaCN III. КСІ NH Br Lici VI. CaCl2 VII. CH,NHẠC VIII. KNO2 IX. NHACH3COO a. b. c. d....
3. Let f, g : a, bl → R be functions such that f is integrable, g is continuous. and g(x) >0 for al x E [a, b]. Since both f,g are bounded, let K> 0 be such that f(x)| 〈 K and g(x)-K for all x E la,b] (a) Let η 〉 0 be given. Prove that there is a partition P of a,b] such that for all i (b) Let P be a partition as in (a). Prove...
(1) True or False. Explain why or why not. Also, for each of (1)-(iv), graph f and L (if it exists) on one set of axes. (i) The linear approximation to f(x) = x2 at x = 0 is L(x) = 0. (ii) Linear approximation at x = O provides a good approximation to f(x) = (xl. (iii) If f(x) = mx + b, then the linear approximation to f at any point is L(x) = f(x). (iv) When linear...
Please explain the answer in detail and in good hand writing! Thanks a lot! Why is an affine transformation (f(x) = Wx.+ b) sometimes called a “linear transformation” (f(x) = Wx)? Hint: Consider their common properties.
Can you answer IV,V,VI, give reactions and mechanism and explain in detail how you got the answers. Thank you very much!!! IV. Suggest a chemical test/reaction you can use to distinguish pentan-1-ol from 2-methy the two alcohols. 2-ol. Give the chemical equations and briefly describe the different results you expec (10pts) for the two alcohols. to V. Give a reasona the reaction below (15pts). tI4 VI. Show how you would synthesize the compound below from starting materials containing no more...
7. V={[)a620) a vector space! Draw the vector space? Draw the graph and explain why or why not? I. Verify the axiom for polynomial. p(x) = 2t' +31° +1+1 9(x) = 4r +57 +31 + 2 8. p(t)+9(1) € P. 9. p(t)+q(t) = f(t)+p(1) 10. cp(1) EP A subspace of a vector V is a subset H that satisfies what three conditions? 12. Is 0 a subspace of R" 13. Let V, V, E V; show H = span{v. v)...
PLEASE ANSWER ALL NUMBER 3 (Parts A-F) Consider the following list of properties 3. f(x)oo x-+1 ii) lim()2 iv) f(1)-3 v) lim f(x)-n x+1 For each of the following, decide if it is possible for a function to have the given set of properties. If so, sketch and label a possible graph for the function on the axis provided. If no such function is possible, explain why not. a) (i) and (i) b) (), (ii), and (iv) c) (i), (iii),...
Please explain in detail. Especially the parameterization as that is what I struggle with. (1 point) Let F be the radial force field F(x, y) = xi+yj. Find the work done by this force along the following two curves, both which go from (0, 0) to (7, 49). (Use the Fundamental Theorem for Line Integrals instead of computing the line integral from the definition, as you did in the previous set. This way shows why the answers to the two...