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Calculus Archive: Questions from May 05, 2022

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  Find div F and curl F if F(x, y, z) = 134622i – 9.xºzój – 4xyłk. div F curl F=
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• Let f (x; y; z) be a function with partial derivatives, with respect to continuous x, y, and z. If one makes the change of variable to coordinates spherical (here is the first equation shown in the im
  Problema 7. (Valor 10 pto.) Sea f (x,y,z) una función con derivada parciales, con respecto a x,y y z continuas. Si uno hace el cambio de variable a coordenadas esféricas • (2,0,0) = (p sen y cos 6
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  Find V.(F G), if F(x, y, z) = 4xi+j+ 1lyk and G(x, y, z) = ci+yj – zk. V. (F XG) =
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• help me resolve integral. show all procedure
  Resolver las siguientes integrales. (20 puntos) 1. x + 1 dx 3 - 2x - x2 2. 5 – ex dx e 2x 3. 0 ro ex cot(ex) csc(ex) dx ) ) 1 4. 4. 4 x2 + 1 S dx VX 1
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• Solve for the derivative
  tan 2x y = = 1-cot 2x = 3 1-cos e y = = 1+cos e
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  nowledge and understanding (15 marks) Differentiate. You do not need to simplify. a) y = 2cos(x2) b) y = sin(x) 2 c) y = sin() ) y d) y = sin(x) - cos? (x) IN NI e) y = cos x tanx sin(x) f) y = NI NI
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• resolve integral. show all procedure.
  Resolver las siguientes integrales.(20 puntos) 1. x + 1 dx 3 - 2x - x2 - 2. . 5 - ex dx e 2x 3. re ex cot(er) csc(ex) dx 1 * () ** 4. - 4 x2 + 1 4 dx VX
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• Find the indicated partial derivatives
  6. f(x, y) = In (x2 + y2) + 2; fr(x, y), fx(x, y), fry(x, y) 12.). f. 1 ff(y)f(ru)
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  1. Evalúe el integral -X SIT x cos y dz dy dx II.Calcule el volumen del sólido en la figura dada. III. Reescriba el integral utilizando el orden dxdzdy. Luego comente si es o no es conveniente hacer
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  1) Escoga uno de los siguientes dos ejercicios para determinarle su masa y el centro de masa del sólido de densidad dada acotado por las gráficas de las ecuaciones. Establezca claramente el integral
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  1. Resuelva el siguiente SEDL por eliminación: D2 x – 2(D2 + D)y = sent x + Dy = 0 (4 puntos). =
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  Considere el integral Sdx. Al resçribirlo queda du en términos de 3 2x-1 la nueva variable de integración 3 2 J2 u O True False
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  Solve for y: Y = 7y2, y = 3 when x = 1
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  [-10.2 Points] DETAILS SCALCET9 3.4.056. Find y' and y". y = plex y' = Il
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  Solve the initial value problem. y'(x) = 4 sec(3.x) tan(3x) : y) = 3 o y = 4(secx + 2) y = tan r+4 y = 4(tan x + 2) 4 y = sec 3x+2)
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  Solve the initial value problem y = x; y(-1) = 3 y = (x - 1) + 3 y = (x - 1)ek + 3+2e-1 y=(x - 1)e? + 3 + e yre +3+ 2e-1
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  Solve the differential equation for general solution - 2 v y = 14x + C + c y = V14x + C, or y = - 14x+ y= V7x+C, or y = --/7x+C y= V14x + c
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  Find the equation of the line tangent to y = 2x 1+x2 at x = 3 y - š = A (- aC – 3) 3 = 5 4 25 4 Oy - 25 = } (x – 3) 4 y + 25 = }(x – 3) y = y - } = -1} (x – 3) a - 4 25 r —
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• Find dy/dx
  F(x) = Sian z 141 dt F(2) =2
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• 1. If you invest $4,000 in an account that pays you 12% per year compounded continuously, what is the average balance on your investment between the fifth and tenth years? 2. Find the mean value in th
  D Pregunta 1 15 pts Tier ejec Inten 52 Si inviertes $4000 en una cuenta que te paga 12% anual compuesto continuamente, ¿cuál es el saldo promedio en tu inversión entre el quinto y el décimo año?
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• *options in the pictures below* 5. Find the arc length on the line: f(x)= 2x+7 between x=0 and x=1 6. Calculate the volume of the solid generated by rotating the region bounded above by y=x^2, below
  D Pregunta 5 15 pts Encuentre la longitud de arco de la línea f(x)=2x+7 entre x=Oy x=1 2.24 5.31 1.79 O 3.62 Siguiente Lield OP Pregunta 6 10 pts Tiempo de ejecución: intento vencid 46 minutos Cal
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• problems are in the firs pictures and the options are in the pictures below
  1. If you invest $4,000 in an account that pays you 12% per year compounded continuously, what is the average balance on your investment between the fifth and tenth years? 2. Find the mean value in th
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  *options in the pictures below* 5. Find the arc length on the line: f(x)=2x+7 between X=0 and x=1 6. Calculate the volume of the solid generated by rotating the region bounded above by y=x^2, below by
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  4. A piece of metal having a temperature of 70°F is deposited (at time t=0) in a place where the temperature is maintained at 40°F. After 3 minutes, the temperature of the object has dropped to 60°
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  Para calcular el volumen de la parte inferior, ésta se divide en dos partes, la que queda dentro Santiago oroko cilindro 2 y la que delimita la esfera quitándole el volumen del cilindro 2. Entonces
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  Question 2 Find y 031-71 (a) y = e46 (b) y=x’Inx= x (c) y = et in5x1 (c) y = In 4-X 3.x+8 (d) y = In(x-3) 31n|x1 (e) y= 3x +4 Note 0.1 In [x = { = Inx, ifx >0; In(-x), if x
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  Find the Jacobian of the transformation. x = 7V + 7w2, y = 4w + 4u2, z = 8 + 812 2(x, y, z) a(u, v, w)
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  log x + y = 2x - sin’x - Zarccot x + 5 cosh3x + Find y? (do not simplify) b No
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  Find V ( VF) if F(x, y, z) = 8xyj + 3xyz k. = VX (V x F) =
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  2 3. (20 POINTS) y = ln? (csc 2x). Find y''.
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  Find div F and curl F if F(x, y, z) = 3e"y i – 3 cos y j + 4 sin” z k. " = div F= curl F=
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• NEED HELP ASAP W COMPLETE SOLUTION
  Given the expression below, x2 y? + = 47ab y х determine y".
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  4. Find dy 3x2+9 a) y = = 2x+3 b) y = 3xe VI c) y = sec(tan(x)) d) y = x2 log3 (2 – 3x)
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  Solve y'' +9y' + 20y = 0, y(0) = 4, y'(0) = - 18 - g(t) =
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• Find nabla*( nabla* F) if nabla* F(x, y, z) = 9xyj + 8xyzk
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