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Calculus Archive: Questions from May 08, 2022

• Determine the surface Area Portion of Cone
  b) Porción del cono z = 2/x2 + y2 y en el interior del cilindro x2 + y2 = 4
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• F Pt. 2 # 2
  2. f(x, y) = 3x · tan(x3y4) Find fx. = .
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  10. Find y' if: y = 5COS 5 cos (tan( ) *
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• Differentiate
  25. ) = x secx 27. y = colx + CSC X 29. y = cotx 31. y = pt CSC X X
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• Find the Jacobian of the transformation. x = 6v + 6w2, y = 3w + 3u2, z = 7u + 7v2 ∂(x, y, z) ∂(u, v, w) =
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• Translation: Evaluate each integral presenting your entire process in a clear and orderly manner. Exercises:
  Instrucciones: Evalúe cada integral presentando todo su proceso en forma clara y ordenada. Ejercicio con respuesta correcta sin el proceso adjunto que lo justifique, recibirá 1 punto. Tiene 2 oportu
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  u= Find u xv, v Xu, and y x v. = (8, -7, -2) v = (3,-1, 1) (a) U XV (b) V xu (c) VXV
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  Solve the following ODE (x +x* +2r ?y2 + y^ )dx + ydy = 0 1=2(x2 + y²)
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• Give a parametric description of the form r(u, v) = ((u,v),y(u,v),z(u,v)) for the frustum of the cone =x° +y -, for 2 ≤ z$7.
  Give a parametric description of the form r(u, v) = (x(u, v),y(u, v),z(u, v)) for the frustum of the cone z = x + y, for 2 szs7. Select the correct choice below. O A. r(u, v) = 2 v 2v cosu, sin u,v),
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• number 2 please
  1) Determine mass and center of mass of the solid of given density, bounded by the graphs of the equations. Clearly state the triple integral that allows you to determine it. a) x=0, x=a, y=0, y=b, z=
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  Volume(E) -Sllov dV 0,= 2x tan -'(:) P. | 6 cos(0) - Loto pʻsin(m) dp de de σφ PO - L"( 72 cos?o cos(p) * 1. o do Po 8917 625
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  = e Find the gradient of f(x, y) = 22-* sin(4 . y) at (x, y) = (-1,2). x V f(,y) = (A,B), then A = B =
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  - In(2 13-22 Find and sketch the domain of the function. 13. f(x, y) = (x - 2 + Vy - 1 14. f(x, y) = x - 3y 15. f(x, y) = In(9-x? - 9y?) 16. f(x, y) = x2 + y2 4 xy x) 17. g(x, y) 18. g(x, y) x + y 1 -
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• i need the solutions of all of them please
  13-22 Find and sketch the domain of the function. 13. f(x, y) = (x - 2 + Vy 1 14. f(x, y) = x - 3y 15. f(x, y) = ln(9-x? - 9y?) 16. f(x, y) = x2 + y2 4 X y In(2 x) 17. g(x, y) 18. g(x, y) 1 - x2 - y2
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  If f(3) = (3x + 3)-1 Find f'(2) Then f'(x) = -3/(3x+3)^2 () Find f'(3) Then f'(3) =
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• Answer
  Find the general solution of (cos 2x + y 2 + 2x^? In y) + (y=+ – 22-y-+ – 2«y**) – 2xly1 -3 -2 -2 y 1 dy dx - 0. 1 2 y sin 2x + xy-2 – 2x-? In y + Iny=C -2 4. - = 2
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  Evaluate the integral. Sawdx - 5 sin 4x - sin® 4x + c O sin 4x - cos3 4x + C sin 4x + sin3 4x + c O sin 4x - sin3 4x + C
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• Suponga que la ecuación de demanda para el producto de un monopolista es p = 350 – 3q y que la función de costo promedio es ¯c=0.3q+3.5+350/q, donde q es el número de unidades. Determine el n
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  Differentiate the function y = x x²ln (2 te
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  F(x, y) = (-3+ex sin y) i+ (6y+ ex cos y)j. Then: дQ Әх = ӘР ду = f(x, y) = +К
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• the polar form is:
  La forma polar de (1/12,2) es: I. (4,1/3) II. (-4,-21/3) III. (4, tan-? 13) - a. Correctas I, II y III. b. Solo II. c. Solo III. d. Ninguna de las demás es correcta. e. Solo I.
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• I need to find the exact value of the sum notation in the exercise number 6
  Sección 4.1 Resolución de sistemas de ecuaciones lineales por la regla de Cramer 1) Utiliza una hoja aparte para resolver los siguientes sistemas de ecuaciones lineales: a) 2x + 3y = 18 X+ y - 7 b)
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  Sketch the vector field F. F(x, y) = 6i - y
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• the potencia series is:
  si aplicamos el criterio de la raíz en la serie n! obtenemos: - n3 I) lim (n+1)! X-700 9 II) Que la serie converge (n+1) III) lim x →00 3 a. Solo I. b. Solo III. c. Ninguna de las demás es correct
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  Differentiate the function. y = In 7 + 6x 7 - 6x y' = =
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  Evaluate the integral (sin (sin - '(X/2))?dx VA-x² 2 4-X sin '(x/a))?d: dx = 14 2 4-X
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  - = x = 5u + 10v + 10w, y= -(6u +30+8w), and 2 = 3w – (4u + 6v) implies a(x, y, z) a(u, v, w) =
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