Calculus Archive: Questions from July 07, 2022
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differential Equations: find the auxiliar ecuation
Sea x²y" - 2xy' - 4y = 0 una ecuación diferencial de Cauchy- Euler. La ecuación auxiliar para está es: m² + 4m + 1 = 0 m²3m-4 = 0 m² 2m -4 = 0 - A B C D E m² +3m + 4 = 0 Ninguna de las anterio3 answers -
Sea x²y" - 2xy' - 4y = 0 una ecuación diferencial de Cauchy- Euler. La ecuación auxiliar para está es: m² + 4m + 1 = 0 m²3m-4 = 0 m² 2m -4 = 0 - A B C D E m² +3m + 4 = 0 Ninguna de las anterio1 answer -
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Find h(x, y) = g(f(x, y)). g(t) = 1² + √t, f (x, y) = 7x + 3y - 21 h(x, y) = Find the set on which h is continuous. OD={(x, y) | (x, y) = (0, 0)} Oh is continuous on IR² OD={(x, y) l y ≥ (7/3)x1 answer -
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Question 18 Find dy. dx In y = el cos 6x O-6ve sin 6x 1-ve! cos 6x O-6yey sin 6x O el cos 6x - 6ey sin 6x ve sin 6x 1-el cos 6x1 answer -
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In Exercises 1-14 find a particular solution. 3x 1. y' - 3y + 2y = e³x (1 + x) 3. 5. y" - 2y - 3y = e(-8 + 3x) y' +4y=e* (7 - 4x + 5x²) 7. y - 4y - 5y: =-6xe-x 9. y"+y12y = e³x(−6+7x) 5.4 Exercis3 answers -
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Find h(x, y) = g(f(x, y)). h(x, y) g(t) = 1² + √t, f (x, y) = 5x + 7y - 35 = Find the set on which h is continuous. OD = {(x, y) | (x, y) ‡ (1/5, 1/7)} Oh is continuous on IR2 D = {(x, y) | (x, y1 answer -
Let f(x, y) = In(x) y(y-1) Find the domain of f(2 – 1,g+2). - O {(z,y) = R²2 0, y = 2, y = -1} ○ {(x, y) ¤ R²|x > 1, y ‡ −2, y ‡ −1} € ○ {(x, y) = E R²|x ‡ 0,y ≥ −2} ○ {(x3 answers -
4. Solve the following Bernoulli equations (a) xử = ta con 20=1 (b) 2xx -x²=e³t, con xo = 1 (c) à = 25x²1², con x₁ =1 answer -
plss all of them l. Evaluate the integral II.Calculate the volume of the solid in the given figure. III. Rewrite the integral using the order dzdxdy. Then comment on whether or not it is convenien
1. Evalúe el integral CLT II.Calcule el volumen del sólido en la figura dada. -X x-4-y² x cos y dz dy dx MX III. Reescriba el integral utilizando el orden dzdxdy. Luego comente si es o no es conven3 answers -
plss help 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. 2) Change the
1) Determine masa y el centro de masa del sólido de densidad dada acotado por las gráficas de las ecuaciones. Establezca claramente el integral triple que permite determinarlo. a) x=0, x=b, y=0, y=b1 answer -
I. Evalúe ff.dr F-dr donde C está representada por r(t). C a) F(x,y)=3xi +4yj; C: r(t) = cos(1)i+sen (1)j. 0≤1≤/2 b) F(x.y.z)=xyi+xzj+yzk; C: r(t) = ti+t²j+2tk, 0≤ISI 11: Evalúe el integral1 answer -
3. Solve the following differential equations: (a) 2x + x = 0 (b) (c) +5x+10=0 (d) + (12)x= 5(1²) con xo = 6 8-a con zo = 8 (e) à 2+ con a₁ = 3 = (f) (2+4) + 3t = t con o =11 answer -
Let f(x, y) = _In(z) 317. Find the domain of f(x-1, y + 2). y(y-1) O {(z,y) € R²|z 0, y = 2, y = -1} O {(x, y) = R² x = 0, y ≥-2} O {(x, y) = R² | > 1, y = -2, y = -1} * O {(x, y) = R² x = 0,1 answer -
I. Determine if the following vector fields are conservative, if so conclude their potential function. II. Compute the curl of the vector field at the given point
Ejercici 1. Determine si los siguientes campos vectoriales son conservativos, de serlo concluya su función potencial. F(x,y)=3x²y²i-2x³yj a) b) F(x,y)=xe (2yi+xj) c) F(x.y.z)=xy²2²1+x²y²j+x²y3 answers -
f(x, y) = In(x) y(y-1)* Find the domain of f(x − 1, y + 2). {(x, y) = R²|x ‡ 0, y ‡ −2, y ‡ −1} {(x, y) = R²|x > 1, y ‡ −2, y ‡ −1} ○ {(x, y) = R²|x > 0, y ‡ 2, y ‡ −1}3 answers -
f(x, y) = In(x) y(y-1)* Find the domain of f(x − 1, y + 2). {(x, y) = R²|x ‡ 0, y ‡ −2, y ‡ −1} {(x, y) = R²|x > 1, y ‡ −2, y ‡ −1} ○ {(x, y) = R²|x > 0, y ‡ 2, y ‡ −1}1 answer -
Given that g(6) = -2, g'(6) = 7, h'(6) = -4 find f'(6), if possible. (If not possible, enter IMPOSSIBLE.) f(x) = g(x)h(x) f'(6) =
Given that g(6) = -2, g'(6)= 7, h(6) = 2, and h'(6) = -4 find f'(6), if possible. (If not possible, enter IMPOSSIBLE.) f(x) = g(x)h(x) f'(6) =3 answers -
Show that the function f(....) satisfies the equation:
2-n 2 5. Demuestre que la función f(x₁,x2,...,xn) = (x² + x² + ... + x²) ²²”, satisface la ecuación: 9 8² ƒ 8² f f + dx²x² + + 8² f əx² n = 01 answer -
4. Solve the following Bernoulli equations (a) xử = ta con 20=1 (b) 2xx -x²=e³t, con xo = 1 (c) à = 25x²1², con x₁ =1 answer -
Let f(x, y) In(x) y(y-1) * Find the domain of f(x1, y + 2). = ○ {(x, y) = R²|x > 1, y = -2, y ‡ -1} ○ {(x, y) = R²|x > 0, y = 2, y ‡ -1} O {(x, y) = R² x 0, y = -2, y ‡ -1} {(x, y) = R²|1 answer -
Question 12 Calculator < Evaluate JS.S (x + y −22) dV where E = {(x, y, z) | -7 ≤ y ≤ 0,0 ≤ x ≤y, 0 < z < x + y²} Check Answer W1 answer -
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Find symmetric equations for the line of intersection of the planes. 6x - 4y - 4z = -10, 4x + y + z = 8 1 O y = 4, X x-1= - - -22 y 4 -22 - Z 22 = Z 22 x = 1, y + 4 = - Z x = 1, y + 4 = -z x = 1, y 41 answer -
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cos(0) * fff f(x, y, z) av = f*/²*/* (* 18p² sin(6) cos(6) dp de do, find f(x, y, z). Problem. 7: If f(x, y, z) = ?1 answer -
Let z=f(u), f differentiable and u=2x+3y Determine the value of k such that
Sea z = f(u), f diferenciable y u = 2x + 3y. Determine el valor de k E R tal que 8² z a² f du² əxəy = k. Debe verse todo el proceso, incluyendo el árbol que construyó para el análisis. Tamaño1 answer