Calculus Archive: Questions from May 31, 2022
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(1 point) Calculate all four second-order partial derivatives of f(x, y) = (5x + 4y) e". fxx (x, y) = 0 fxy (x, y) = 5e" fyx (x, y) = 5e" fyy(x, y) =1 answer -
2. Considere que B = [0, 1] × [0,1] × [0,1] y calcule las siguientes integrales triples. a) SB x² dv SSSB b) ff e-xydV c) B (2x + 3y +z)dV d) Szex+y dv1 answer -
3. Find average value of f(x, y) = 4y sin(x) (x - 5)(x+3) over D = {(x, y) = R²:0≤x≤ a, 1-x≤ y ≤ 4}.1 answer -
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20. [-/3.12 Points] Complete the table. y = f(g(x)) y = (2x - 1)6u = Need Help? Read It 21. [-/3.12 Points] DETAILS Complete the table. y = sin Need Help? DETAILS y = f(g(x)) 9x 2 U= Read It LARCALC111 answer -
using chain rule
2. Differentiate: a) b) c) d) 10 1 = (2x² - 6x - ¹) ¹⁰ X y = 4 y = √81 - 16x8 y = √(2-x³)7 3 y = √√√x³ + ³√x 3 -81 answer -
Determine the area of the region bounded. Show complete solutions. 1. y = 2x (1x), 0≤ x ≤ 1 2. y = x + 2 sinx, 0 ≤ x ≤ 3. y = x², y = 20 - x 4. y= x-2, y = x - 2 13x 5.y= y = 0, 0 ≤ x ≤ 51 answer -
1. Estime la región R limitada por las curvas f(x) = sinx ; g(x) = cos x, en el intervalo de [-;-]: a. usando rectángulos por la derecha, con n = 10. b. usando rectángulos por la izquierda, con n =0 answers -
#17、19
f(x) g(x) y = f(x) AL y= g(x) (A) (B) h(x) F(x) a b y=h(x) y= F(x) (C) (D) Figures for 1-6 In Problems 7-20, find the area bounded by the graphs of the in- dicated equations over the given interval. C1 answer -
#39、45
In Problems 37-52, find the area bounded by the graphs of the in- dicated equations over the given intervals (when stated). Compute answers to three decimal places. 37. y = -x; y = 0; -2 ≤ x ≤ 1 31 answer -
2 3 ind [² f(x, y) dx and f f(x. 0 f(x, y) = 3x + 3x²y² 2 [²rex.x 0 3 S 0 f(x, y) dx = f(x, y) dy: = f(x, y) dy.1 answer -
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Given f(x, y) = 3x6 – 2x²y³ + 2yª, find - fz(x, y) = fy(x, y) = fiz(x, y)= fry(x, y) = fy(2, 3) = fyz (z, y) = > Next Question1 answer -
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Evaluate the integral #25 and #31 please.
25. S 27. S x² dx √√9 - 25x² omse si no lengotni otinitobni sledxozson ei 19wens 29. S x² + 2x + 5snicido bi asvius odi yd bezolons 31. 2x − x² dx = bagigido /1 + x² X 0.6 x2 dx x²√3 + 23 answers