Calculus Archive: Questions from April 27, 2022
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1. Calcula la siguiente integral de línea: = donde C es el trayecto: F(t) = sin(t)î+ cos(t)j+2k en el intervalo 01 answer -
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3.5 find the implicit deference: d) find the equation of the line tangent to the point below: (the graph is that of a cardioid) show your work using desmos 3.6 find the derivative
3.5 Halla la diferenciación implícita: a) x4 + x?y2 + y = 5 = b) y Cosx c) √x+y + Halla la ecuación de la linea tangente al punto a continuación: (la gráfica es la de un cardioide) x + y = (2x1 answer -
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If y = 2 e2x - 1 e2x + 1' prove that = 1 - y². dy dx Find the value of k in the equation y = ekx so that y is a solution of a. y' - 7y = 0. b. y" - 16y = 0. c. y - y" - 12y' = 0.1 answer -
Calculate the integral of the line of the vector field (e^(-x) + y^(2), e^(-y) + x^(2)) that goes through the arc of curve y=cos x from - pi/2 to pi/2 and then through the segment that starts at pi/21 answer -
Find the derivative for problems 1-4. 1. h(x) = (3x² + 15x - 2)² 3. y = [cos(3x7)]4 4x 7x² +1 2. g(x) = 4. y = tan¹(5x7)1 answer -
- Calculate the integral of the line of the vector field (e^(-x) + y^(2), e^(-y) + x^(2)) that goes through the arc of curve y=cos X from - pi/2 to pi/2 and then through the segment that starts at pi/1 answer -
II. Determine el área de la superficie a) Porción del plano z = 24-3x - 2y en el primer octante. b) Porción del cono z = 2√x² + y² y en el interior del cilindro x² + y² = 4.1 answer -
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9. F(x, y) = (y2 cos x + cos y) i + (2y sin x - x sin y)j = 10. F(x, y) = (In y + y/x)i + (In x + x/y) j = x0 answers -
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19-36 Sketch the region enclosed by the given curves and find its area. 19. y = 12x², y = x² - 6 4 20. y=x², y = 4x - x² 21. x = 2y², x=4+ y² 22. y = √√x-1, x - y = 1 23. y = √√2x, y = x1 answer -
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Solve the differential equation. 2tet dy dt y√√√4+y² y = ±√√/27 (2tet + 2et + C)³ +4 Oy=√√2 (2tet +2et + C)³ +2 y = ± √(3 (2tet - 2et +C)) ³ - 4 y = ±√√3 (2te²t+2e²t+C) ³1 answer -
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Let f(x)=x,p(x)=x2 and let h(x) = root of x. Fill in the following table. The first row is incuded as an example.
1. Sea f(x) = x, p(x) = 22 y sea h(x) = V. Llene la siguiente tabla. La primera fila se incluye como ejemplo. Transformación o reflexión En términos de S, poh Descripción de la transformación Eje1 answer -
D Question 8 Find all the first order partial derivatives for the following function. f(x, y) = sin² (2xy² - y) df 4y²sin (2xy2-y) cos (2xy2-y); - = 2sin (2xy²-y) cos (2xy² - y) dy df = 4y2sin (21 answer -
If f(t)=1 2 then [{f(t)} = O a. 2 e³ S S Ob. 1+e³ + e -²5 OC. e-25 S O d. es S The solution of the initial value probelem y' +4y=e4, y(0) = 2 is O a. -4t y = te O b. y = te=4 + 2e-4f O C. y = 2e¹1 answer -
1) f(0,-0.2)= 2) f(0.8,3)= 3) is (3.2,-1.6) a pike or a maximum.
A continuación se provee el mapa de contorno para una función z=f(x,y) 0 02 04 0.5 0.7 03 0 CE Utilice el mapa de contorno para contestar las siguientes preguntas. 1. f(0, -0.2) 2. f(0.8,3) 3. e De1 answer -
23. sin x - cos y - 2 = 0 COS X (A) -cot x (B) -cot y (C) sin y 2-cos x (D) -CSC y cos x (E) sin y Set 3: Multiple-Choice Questic 24. 3x2 – 2xy + 5y2 = 1 3x+ y (A) x - 5y y-3x (B) - (C) 3x + 5y sy1 answer