Calculus Archive: Questions from April 13, 2022
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(1 point) Find the Taylor polynomial P2(x, y) of degree two of the function f(x, y) = ln(2 + x + y) at the point (0,0). = + y (Hint: Consider f(x, y) = ln(2 + x + y) = ln(2(1 + In(2(1+ * 7.)) = ln(2)1 answer -
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16, 18, 27
- = 16-29 - Find the derivative of the function. Simplify where possible. (16) y = tan-'(x2) 17. y = (tan-'x)2 18, h(x) = V1 - x2 arcsin x 19. y = sin(2x + 1) 20. y = tan-'(x - V1 + x2 21. G(x) = V1 â1 answer -
(c) (sin x sin y) - 1. Find f(x,y) for f(x,y) = (cos x siny). (a) - yesin x siny) (b) (sin y) y cos i - sin x) (d) (sin y) (cosx - sin x) () None of these1 answer -
Find f if grad f = (4yze+y2 + 6z2.cos(xz?))i + 4zzevyz] + (4.cye+y? + 12t2 cos(cz)). = + f(x, y, z) = +03 answers -
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can u answer 12
Ñ… Meme 7. y = 1-2x PROBLEMS 12.5 In Problems 1-12. find y by using logarithmic differentiation. 1. y =(+1)*(-2)(x+3) 2. y = (3x + 4)(8r - 1)*(3x + 1) 3. y = (3x - 1)^(2x + 5) 4 y=( 2+ 1M88-1 5. y=Vx+1 answer -
2. Dibuje un diagrama de árbol y escriba una fórmula de la regla de la cadena para cada derivada. w = xy + yz + xz, x= u + 0, y = u - v, z = uv1 answer -
4. Determine todos los máximos locales, los mÃnimos locales y los puntos de silla de la función. f(x, y) = x2 + 3xy + y31 answer -
5. 5. Extremos en una esfera Determine los valores máximos y mini- mos de f(x, y, z) = x - 2y + 5z sobre la esfera x² + y2 + z2 = 30.1 answer -
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37.) costadx find an indefinite integral 47.) Sexfe*1) dx 49.) 85-es dx x eex 39.) Star los o de 41) I sin 2x los zx dx * (7 \/2 56. ) 3 dx 45.) Se*) dx1 answer -
please explain the steps and dont write in cursive
Get the derivative with respect to x(ie. Y') for the following expression. Obtenga la derivada con respecto a x (o sea, y') para la siguiente expresión xe - ve" = 0 For the toolbar, press ALT+F10 (1 answer -
23, 25, 27, 31, and 33 please!!
19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, and 34 Sketch the region enclosed by the given curves and find its area. 19. y = 12 – x2, y = x2 – 6 Answer + 20. y = x2, y = 4x – 2024 answers -
Select each differential equation that matches the slope field segment. (IV) y 8 T y' = y(3 – y) y' = x(3 – x) Oy = y(8 – y) Oy' = cos(y) y' = e-* Oy' = cos(8 – y)3 answers -
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be clear when you write, thank you
Explique el Método de los Multiplicadores de Lagrange para resolver problemas de optimización que tengan restricciones. Utilice como ejemplo uno de los siguientes ejercicios: 1. Minimizar f(x,y) = 31 answer