Calculus Archive: Questions from June 14, 2022
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Suppose that f(x, y) = e/y on the domain D = {(x, y) | 0 ≤ y ≤ 2,0 ≤ x ≤ y³}. D a Then the double integral of f(x, y) over Dis [ f(x, y) dady: = D 9 Assume that the integral IT f(x, y)dxdy e2 answers -
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i want the steps
QUESTION 11 y= In 9x² 6-18 QUESTION 12 Find the derivative. y = x³ cos 8x² O-16x4 sin (8x²)+ 3x² cos 8x² -16x* sin (8x²) sin (8x²)+3x² cos 8x² 16x4 sin (8x2)+ 3x2 cos 8x² QUESTION 13 Find1 answer -
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An electromotive force of 200 volts is applied to a series RC circuit in which 1000 ohms and the capacitance is 5x10^-6 farad. Find the charge and current at t=0.005s if it is known that i(0)=0.4amp1 answer -
Let x,y,z∈R+ such that x+y+z=1. Prove that xy+yz+2xz≤1/2.
Sean x, y, ze R+ tales que x+y+z= 1. Demostrar que xy+yz + 2xz < NI 21 answer -
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Find the derivative using the Product Rule. After every function, the answer is provided. Please do the correct procedure in order to arrive to such.
8. g(x)=(x³ +1)(2x² + x) g(x)= (3x+5)² 9. cos(x) y= 10. X 11. y=xln(x) 12. y = x²e¹ 13. y=sin(x) cos(x) 14. y=sen¹(x) 15, y = e²x y=[lnx ]² 16. 17. Y=x2* 18. dy Respuesta: = 10x + 4x³ + 4x +11 answer -
Exercises: Use the Laplace transform to solve the given initial-value problem. 1) y' + 4y = e-4t, y(0) = 2 2) y" + 2y' + y = 0, y(0) = 1, y'(0) = 1 y(0) = 0, y'(0) = 1 3) y" - 6y' +9y=t, 4) y" - 6y' +1 answer -
QUESTION 3 5xe³x(3x + 2) 10xe³x(2x + 3) O 5xe³x(2x + 3) O 10ex³x(3x + 2) QUESTION 4 e-x+1 ex O ex+2 e2x -ex-2 e2x y = 5x²3x y = O ex+2 e2x ex-2 e2x 4 cos ³(2x + 2) -4 sin³(2x + 2) -48 sin²(2x1 answer -
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1. Domain of f 2. Range of f 3. find all outputs of x for which y=1 4. find coordinates y=0 5. find coordinates y>0 6. resolve f(x) more or equal to 0 7. resolve f(x) <0 8. intercepts in horizon
5. La gráfica de la función f se muestra en la siguiente figura. + ++Z 2 3 4 -5-4 3 2 -1 0 -1 6 a. ¿Cuál es el dominio de f? b. ¿Cuál es el rango de f? c. Determine los valores de f(-4), f(-2) y1 answer -
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Find dy/dx or f'(x) or y' for the following equation : y³ + 3x²y = 13 Oal y' = -2xy = x²-y² -6xy 3x²+3y² 6xy 3x²+3y² -2xy - -(x² + y²) Oby' = Ody' = Od) y'=1 answer -
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Find all the second partial derivatives. f(x, y) = xy² + 5x²y fxx(x, y) = fxy(x, y) = fyx(x, y) = fyy(x, y) = Find the indicated partial derivatives. fxxy(x, y) = folx, y) = F(x, y) = 6xy² + x¹y51 answer -
Calculus 3 Calculus 3
1. Encuentre un punto equidistante de los puntos (0, 0, 0), (0, 4, 0), (3, 0, 0), y (2,2, -3). 2. Considere un peso de 25 N suspendido de dos alambres, como se ilustra en la figura. Si las magnitudes1 answer -
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2. Una empresa produce un artículo, y lo vende a un precio unitario que varía de acuerdo a la siguiente ecuación p= 200-0.01q $ en donde p representa el precio unitario y q la cantidad. Teniendo en1 answer -
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(1 point) Evaluate fff f(x, y, z) dV for the specified function f and B: Z f(x, y, z) X SSS f(x, y, z) dV = = 3 ≤ x ≤ 18,0 ≤ y ≤ 8,0 ≤ z ≤ 61 answer -
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Considere un peso de 25 N suspendido de dos alambres, como se ilustra en la figura. Si las magnitudes de los vectores F₁ y F2 son ambas de 75 N, entonces los ángulos a y ß son iguales. Obtenga a.1 answer -
Consider a weight of 25N suspended from two wires, as illustrated in the figure. If the magnitudes of the vectors F1 and F2 are both 75N, then a and B are equal. Get a.
2. Considere un peso de 25 N suspendido de dos alambres, como se ilustra en la figura. Si las magnitudes de los vectores F₁ y F₂ son ambas de 75 N, entonces los ángulos a y ß son iguales. Obteng1 answer -
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