Calculus Archive: Questions from June 19, 2022
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find out the absolute maximum and absolute minimum
1} 36. f(x, y) = x² + xy + y² - 6y, D = {(x, y) | -3 ≤ x ≤ 3,0 ≤ y ≤ 5} 37. f(x, y) = x² + 2y² - 2x - 4y + 1, D = {(x, y) | 0 ≤ x ≤ 2,0 ≤ y ≤3}1 answer -
Éxito!!!! Utiliza la gráfica para hallar la solución de cada límite 8. Hallar Límites de forma algebraica √√3x+4 a) lim. x→7 x a) fig(x) = c) lim_f(x) = x-47 b) lim *-3 x-3 x²-9 = b) lim f1 answer -
(-3x+7; x 3 a) La función es continua en x = 1? Justifique b) La función es continua en x = 3? su respuesta Justifique su respuesta1 answer -
Dada la integral (2²+1)de los valores aproximados de la regla del trapecio y su error, a 2 cifras decimales, son: T₁ = Elegir... Ers= Elegir...1 answer -
yx If F(x, y, z)=4x² zi -xy²zj + 2yz² k and p(x, y, z)=e" +: -sin z find 2 i. Grad iv Div F ii. Curl (Grad ) v Div (Grad ) iii. Curl F1 answer -
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1. Considere la siguiente función: f(x)= x³ + 2x² − 8x−3 a. Indique los intervalos donde f crece y decrece. b. Halle los valores extremos de f. c. Use el método de Newton-Raphson para aproxima0 answers -
Question 2 Match the equation with its derivative: y = x + sin 4x y = x + cos 4x y = x - sin 4x y = x - cos 4x [Choose ] [Choose ] y' = 1-4 sin 4x y' = 1 + 4 sin 4x y' = 1 + 4 cos 4x y' = 1-4 cos 4x [1 answer -
Question 6 Find the derivative: y = (sin 2x) (cos 3x) O y'= sin 2x cos 3x O y'= -sin 2x cos 3x O y'= -cos 2x sin 3x O y' = -sin2x sin 3x + cos 2x cos 3x O y'= -3sin2x sin 3x + 2cos 2x cos 3x O y' = 3s1 answer -
Differential Equation Resolve & select the right one
Resuelva ² dy dx A x = ln x+c exly = CX x =-In/x+c y exly x Ninguna de las anteriores B с D E - + y² = xy3 answers -
Using lim 0-0 sin 0 0 y - y + 3 sin y lim 2y y-0 y-y +3 sin y 2y lim y-o = 1, find the limit. (Simplify your answer.)1 answer -
Sketch a possible graph of y = f(x), using the given information (in the diagram below) about the derivatives y'= f'(x) and y" = f'(x). y < 0 X X₁ x2 x3 i i i y"=0_y"=0 y"=0 _y"> 0 ¦ y" < 0 ¦ y">1 answer -
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Only E,F,G,H
3. (5 points each) Find the relative extrema and saddle points: 1 2 (a) f(x, y) = 1- 2x² - 3y² (b) f(x, y) = xy + ¼ - 2 + y (c) f(x, y) = ln (1 + x² + y²) (d) f(x, y) = x² − 4xy + 2y² − 4x1 answer -
Find fx(x, y). 5x y f(x, y) = y 5x O 5 5 fx(x, y) = y2 y 5 fx(x, y) == y + y 5x² 5x27 fx(x, y) = y 5 y fx(x, y) = y O y 5x2 5x2 az Let z = f(x, y) = x3 - 7x2y + 7xy³. Find ax O 3x²-14x + 7 O 3x2-11 answer -
[22 tan ³x dx. Evaluate S22 tan ³x dx = K Evaluate the following integral. √2 sin x cos ³x dx √2 sin x cos ³x dx =3 answers -
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