Sketch the region R and evaluate the iterated integral [(x + y) dx dy y 3 y 5- 4 3- 2- 1- [[ [ f(x, y) dA= R X fou x 2 3 3 k f(x,y) da. 3 y 2- y 2 1 1 2 5 5 6 7 6

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Q: Evaluate the iterated integral. π/4 cos(8) 1¹ Jo 3/² 3r² sin(8) dr de

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A: topic- equation of a function

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Q: 10z +2 (z+1)²(2-3)² S dz

A: ∫10z+2z+12z-32dz

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Q: Find az/ax if - z = x² sin(xy³) O x³y4 cos (yx³) + 4y³ sin(x³) O x³y³ cos (xy³) + 4x³ sin(xy³) x4y³…

A: Find the derivative

Q: 23. Express each of the following as a logarithm. Use a calculator to evaluate your answer correct…

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A: Find the volume of the solid bounded by the curve Z=ln(x2+y2)z=0x2+y2≥1x2+y2≤9

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A: 3y''+2y'+y=0

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Q: Find the general equation of the plane that contains the point (2, 0, 3) and the line x =−1+t, y =…

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Q: Solve the following ODES by Undetermined Coeff. 17 4X y - 16 y = 19.2 e + 60 e ycolý 4X -4X Ans:…

A: The given differential equation is;  y''-16y=19.2e4x+60ex y(0)=y'(0)=0.

Q: Find the general solution of the given second-order differential equation. 20y" 11y' 3y = 0 y(x) =

A: The given differential equation is: 20y''-11y'-3y=0   So, we can also write as; 20D2-11D-3y=0 The…

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Q: Part 2 of 8 The equation x³y-x-9y=0 is in the form of ax² + bx+c = 0. The solution set for x is…

A: Let's solve given equation.

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Q: Find the general solution of the given higher-order differential equation. ²y - 32y = 0 dx² X(X) 11…

A: Find the general solution of the given higher-order differential equation.

Q: Find an equation for the graph above. M 3 2 1 -1 -2 h(w)

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Q: 5) What is the horizontal asymptote of f(x)= a. y = 5 7 b. y = 2 2x-7 5x+3 c. y=-37 d. y = 5

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A: Topic = Differential equation

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Q: convergence. n=0 (n+1)3 00 n+1 x2+1 n=0(n+1)3 (+1) x^2+1 n=0(n+1)3" 00 1n (3) - Σ In (3) - (n+1) 00…

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Q: | (8z + 4z³ - 6z²) dz? O 16z²+z4-2z³ + C O4z²+z4-22³ + C 16z²+z4+ 2z³ + C O 42² +224 + 2z³ + C

A: Solution: ∫8z+4z3-6z2dzApply the sum rule=∫8zdz +∫4z3dz -∫6z2dz

Q: Solve the differential equation by variation of parameters. y" + 2y + y = e-tIn(t) y(t)

A: Given the differential equation is y''+2y'+y = e-t lnt

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Q: y'(x) = 49e²7 -46₂2642 де +2.4e4x + 9.6ne 422 -4 HOW DID HE GET THE VALUE INSIDE THE CIRCLE, CAN YOU…

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Q: Find three positive numbers whose sum is 114 and whose product is a maximum.

A: follow the procedure given below.

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Q: Constraint 1. V= 32000 cm³ xyz = 32000 g(x, y, z)=xyz-32000 vg = (y², xz, xy) function SA= xy + 2yz…

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Q: Find the centroid of the region bounded by the graphs of the functions y = 3x², y = x² + 4 The…

A: Centroid Of the Region :           x¯ = 1A∫x=ax=b xf(x)-g(x) dx  and   y¯ = 1A∫x=ax=b 12fx2-gx2 dx…

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Q: Solve the differential equation by variation of parameters. y" + 2y' + y = e-t In(t) y(t) =

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Q: Question 17 V -2 8- 7 16 16 6 5- 4 3 رها را 2 1 -4 -7 1 > V V 2 3 4 5 Find an equation for the graph…

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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