9. If f(x) = x2 - 6x + 2 and g(x) = -2x, find a. f.g(2) b. g•f(x)
I need to answer a, c, and d 1. Find the limit at xo if it exists. (a) f(x, y) = xy/(x2 + y2), Xo = el + e2 (b) f(x, y) = xy/(x2 + y2), Xo = (0,0). (c) f(x) = (1-cos x)/x2, X,-0. [Hint: limx-o (sin x)/x = 1 .] (d) f(x)-|x-2le, + lx + 2le_, xo = 3. (e) f(x, y) = ye, + (xy)리[(xy)2 + (x-y)2je2, Xo = (0,0). At which points is each of these...
a-f Differentiate the following by using the product rule: w 9x² – 2)(3x + 1) (c) x² (4x+6) (e) (2 - x)(1+x)(x+21 (b) (3x + 10)(6x2 - 7x) (d) (ax - b)(cx2) (f) (x2 + 3)x-1 co Given AR = 60 - 3Q, plot the average-revenue curve, and then find the MRC
QUESTION 9 Let X={a,b,c,d), f={(a,b),(6.a),(c,c),(d,d)}cXxX, and g={(a,m),(6,4),(c,b),(d,c)}cXxX. Find fog. a((aa),(b,d),(c,b),(d.c)) b.((a.d),(6.b),(c,a),(d.c)) c. ((a.a),(6.b),(c,c),(d,d)) d.((a.c),(b,d).(c.a),(d.b) QUESTION 10 Let X={a,b,c,d), f={(a,b),(b,a),(c,c),(d,d)}c XXX, and g={(a,d),(b,a),(c,b),(d,c)}cXXX. Find gog. a. ((a.a),(6,d),(c,b),(d,c)} b.([a,d),(6.b),(ca),(d.c)} c.{(a,a),(6.b),(c,c),(d,d)} d.((a.c),(b,d),(c,a),(d,b) QUESTION 11 What is the dominant operation in this algorithm? 1. Input the number of values n 2. Input the list of numbers x1, x2, ..., X 3. min = x 4. For i = 2 to n do 4.1. If xi < min then 4.1.1. min < x; 5. Output...
Let f(x) = x2 + 1 and g(x) = 2x - 5. Find a. (f+g)(x) b. (f-g)(-1) c. (fog)(-2) d. (f.g)(x) . ()
10. Stokes' Theorem and Surface Integrals of Vector Fields a. Stokes' Theorem: F dr- b. Let S be the surface of the paraboloid z 4-x2-y2 and C is the trace of S in the xy-plane. Draw a sketch of curve C in the xy-plane. Let F(x,y,z) = <2z, x, y?». Compute the curl (F) c. d. Find a parametrization of the surface S: G(u,v)- Compute N(u,v) e. Use Stokes' Theorem to computec F dr 10. Stokes' Theorem and Surface Integrals...
10. Stokes Theorem and Surface Integrals of Vector Fields a Stokes Theorem:J F dr- b. Let S be the surface of the paraboloid z 4-x2-y2 and C is the trace of S in the xy-plane. Draw a sketch of curve C in the xy-plane. Let F(x,y,z) = <2z, x, y, Compute the curl (F) c. d. Find a parametrization of the surface S: G(u,v)ーーーーーーーーーーーーー Compute N(u,v) e. Use Stokes' Theorem to compute Jc F dr 10. Stokes Theorem and Surface...
ECON 1111A/B Mathematical Methods in Economics II 2nd term, 2018-2019 Assignment 6 Show your steps clearly Define the definiteness of the following A-[1 5 a. b. 1 4 6 d. D= -2 3 1 -2 1 2 E 2 -3 1 2. Is the function f(x,y) - 7x2 + 4xy + y2 positive definite, negative definite, positive semidefinite or negative semidefinite? Find the extreme values for the following functions and identify whether they are local maximum, local minimum, and saddle...
Linear Algebra 2) General Inner Products, Length, Distance and Angle a) Determine if (u,v)-3uiv,-u,v, is a dot product b) Show that (u.v)-a+a,h,'2 is a product if a, 20 e)Let A-(41 ..)and B-G ) Use inner product on 4 -2 M (A, B aitai +apb +2a to find the length of A, B, namely ll-41 and 1 d) Find the angle between the two matrices above e) Find the distance between the two above matrices 0) For the functions (x)-1 and...
Solve A,B,C,D step by step please 2.- Obtain the general solution of the following homogeneous differential equations A. y dx - (2x2 + 3xy)dy = 0 B. y' y2- 3xy C. y(In y2 – In x2 + 1)dx – xdy = 0; y(1) = e" D. y' = (x+y-1,; y(0) = 1