5x3-12x2-1 x2-2x 5. Find the equations of the asymptotes of f (x) Show that P(-3, 2,...
35. f(z) (3z+5)5 f(x) = SK-53 x-2 x2 -2x 37. f*)-+1 In problems 54-61, find dy/dx. 54. xy'- xy+10 0 In problems 62-63, find the equation of the tangent line to the given graph at the given point. 62. yxy - 6 0 at the point (1,2) 63. x+xy - vy-3 0 at the point (1,4) In problems 64-78, find y for the equation. 35. f(z) (3z+5)5 f(x) = SK-53 x-2 x2 -2x 37. f*)-+1 In problems 54-61, find dy/dx....
URGENT 2) Find the x coordinates of all relative extreme points of f(x)÷4÷3 1 4.2.3.3,2+4 2+4 2) A) x--3,1 B)x=0 C)x=-3, 0, 1 D) x-1, 0.3 E) x-1.3 3) Find the x coordinates of all relative extreme points of fo) 4-33-6x2-1 ints of f(x)- 4- 3-6x2-1 3) A) x2, 0,3 B)x 0 C)x=-2.3 D) x--3,2 E) x--3,0,2 4) Find the relative minimum point(s) of fx)x35x2-10. 4) A) (0, f(o)) B) (-2, f(-2)) and (5, f(5)) C) (-2, f(-2)) and (0,...
(15 pts) Find the absolute maximum and minimum values of f(x,y) = – 3y2 - 2x + 6y on the set D where D is the closed, square region in the plane bounded by y=0, x= 0, y = 2, and 2 = 2.
3) Find the absolute maximum and absolute minimum values of x2 Y2 2x2 Зу? - 4x - 5 on the region 25 + + 2Y2 Show that the surfaces 3X2 Z2 4) 9 and x2 Y2Z - 8X - 6Y - 8Z + 24 0 have a common tangent plane at the point (1, 1, 2) Find the maximum and minimum values that 3x - y 3z attains on the intersection of the surfaces x + y 5) 2z2 1...
6. For the function. 2+x- -2x+14 (x-1)4 r-l) Find domain. Il Find vertical and horizontal asymptotes. Examine vertical asymptote on either side of discontinuity b. 13] c. Find all intercepts. d. Find critical points. Find any local extrema. e. 121 Page 7 of 12 13) f. Find points inflection. 13) g. Sketch. Label: . Intercepts Asymptotes Critical Points) Point of Inflectionfs) 6. For the function. 2+x- -2x+14 (x-1)4 r-l) Find domain. Il Find vertical and horizontal asymptotes. Examine vertical asymptote...
5. Express the following polynomial function in factored form: (3 marks) P(x) = 2x+ + 5x3 – 5x2 – 20x – 12
All of 10 questions, please. 1. Find and classify all the critical points of the function. f(x,y) - x2(y - 2) - y2 » 2. Evaluate the integral. 3. Determine the volume of the solid that is inside the cylinder x2 + y2- 16 below z-2x2 + 2y2 and above the xy - plane. 4. Determine the surface area of the portion of 2x + 3y + 6z - 9 that is in the 1st octant. » 5. Evaluate JSxz...
#3 please!! 2. Given the function f(x, y)-x2 +y -2xy -6x - 2y 5, find the following: (a) Find the critical point(s) of the function. For full credit, show all the algebra to find these and give your answer as ordered pairs. (b) Find the second order partial derivatives and use these to find the determinant of each critical point. Then classify each critical point as a saddle point, relative minimum, or relative maximum point. 3. A wine dealer sells...
(Higher-order linear differential equations) (a) Show that yi (x)-z?, уг (z)-r3, and U3(z) = 1/x are linearly independent solutions of 3. хзу",-z?y"-2xy' + 6y-0 on (-oo, 0) and (0, +00). Write down the general solution to (4 (b) Find a fundamental set S of solutions of (Higher-order linear differential equations) (a) Show that yi (x)-z?, уг (z)-r3, and U3(z) = 1/x are linearly independent solutions of 3. хзу",-z?y"-2xy' + 6y-0 on (-oo, 0) and (0, +00). Write down the general...