Why is the answer C? 9) In which case is thedashed vector equal to F -G?...
why is this wrong for vectors vector<char> decrypt{ {'B', 'C', 'D', 'E', 'F', 'G', 'H', 'I', 'J', 'K', 'L', 'M', 'N', 'O', 'P', 'Q', 'R', 'S', 'T', 'U', 'V', 'W', 'X', 'Y', 'Z', '1', '2', '3', '4', '5', '6', '7', '8', '9', 'A'}, {'C', 'D', 'E', 'F', 'G', 'H', 'I', 'J', 'K', 'L', 'M', 'N', 'O', 'P', 'Q', 'R', 'S', 'T', 'U', 'V', 'W', 'X', 'Y', 'Z', '1', '2', '3', '4', '5', '6', '7', '8', '9', 'A', 'B'}, }; for(int...
(1 point) (a) Show that each of the vector fields F = 4yi + 4xj, G= x y zit vol y J, and ] = vertinant virtuaj are gradient vector fields on some domain (not necessarily the whole plane) by finding a potential function for each. For F, a potential function is f(x, y) = For G, a potential function is g(x, y) = For i, a potential function is h(x, y) = (b) Find the line integrals of F,...
1. The graphs of f and g are given below. Use the graphs to answer the following questions. y=80) y = f(x) 1 की Graph of y = f(x) Graph of y = g(x) a) f(-1)+(-1) b) f(0) + 9(0) c) f(2) + 9(2) d) limg-2-(3) + g(x)) e) lim-1-((x) - 9(x)) f) lim +1+(f() - 9(x)) g) lime-1(f(x) - 9(x)) h) lim2+2x29(2) i) Find the point(s) of discontinuities of f(x). Explain why the function is discontinuous at those points....
Please explain why the answer to this is C. thank you!
9. Which of the following sets of reactants would lead to the formation of the molecule given below: on vilo zawollo sto HO sodomondib Eos t elo Bob E sexdolor oroli-Al- sodbo il a. S-1-iodo-2-methylpentane with HOCHZ b. S-1-iodo-2-methylpentane with NaOH e. S-1-iodo-2-methylpentane with water d. all of the above e. only options b and c Ho
(1 point) (a) Show that each of the vector fields F-4yi + 4x j, G-i ЗУ x2+y2 x?+yi J, and j are gradient vector fields on some domain (not necessarily the whole plane) x2+y2 by finding a potential function for each. For F, a potential function is f(x, y) - For G, a potential function is g(x, y) - For H, a potential function is h(x, y) (b) Find the line integrals of F, G, H around the curve C...
(7) In this problem let X denote the vector space C(0, 1) with the sup norm. (a) Given f e X, define d(f) = f2. : X → X is differentiable, and Prove that φ find φ'(f). (b) Given f e X, define 9(f) = J0 [f(t)]2dt. Prove that Ψ : X → R is differentiable. and find Ψ(f).
(7) In this problem let X denote the vector space C(0, 1) with the sup norm. (a) Given f e X,...
The angular momentum vector of this wheel points: ( a ) To the right on the top of the wheel, and the the left on the bottom ( b ) Into the page ( c ) Out of the page ( d ) Up ( e ) Down ( f ) Not enough information is given
Let f: C→C be an entire, one-to-one function. (a) Explain why g()-f() f(0) is an entire 1-1 function (b) Explain why there exists0 such that B(O,e) C g(B(O, 1)). Hint: Open Mapping thm.] (c) Explain why Ig(z)2є if 221 . [Hint: g is 1-1.] (d) Since g(0)=0, g(z)=2h(z) for some entire function h(z). Explain why h(z) is never 0 (e) Show that there is a constant C>0 such that 1/h2)l C if21 (f) Deduce that 1/h (z) is a constant...
A vector field F is given as (a) Find 9 F dl around the closed triangular contour C shown in Figure 1-27 (b) Find (VxF) ds over the triangular surface (bounded by C) and verify Stokes' theorem (c) Can F be expressed as the gradient of a scalar? Explain why. -1 Figure 1-27.A triangular contour.
Use the functions f and g in C[-1, 1] to find (f, g), ||f||| ||9||, and d(f, g) for the inner product (5, 8) - [F f(x)g(x)dx. f(x) = 1, g(x) = 7x2 - 1 (a) (f. 9) (b) ||fl| (c) |19|| (d) df, g)