Find a linear differential operator that annihilates the given function. (Use D for the differential operato 1+ 3x - 5x³

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: Write the expression in algebraic form. [Hint: Sketch a right triangle, as demonstrated In Example…

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

A: The DE is given as , y''+2y'+y=e-tlnt find the solution by variation of parameters.

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A: Follow the procedure given below.

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Q: 3) y" + 4y' + 4y = 0.

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Q: 2 Determine the length of the curve = = t³, y: 31² 2,0 ≤t≤ √3.

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Q: Find f(x,y) and fy(x,y). Then find fx (2, -1) and fy (-4,3). f(x,y) = In 5x4 +8x²y²| fx(x,y)=…

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A: We have to find the general solution.

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: s help A

A: calculus

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Q: Find a formula for the inverse of the function. \\ f(x) = f-¹(x) = 1+e 1-e

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Q: the function. x+1 f(x)= (a) Find the Inverse function of f. 1-¹(x) = (b) Use a graphing utility to…

A: Please see the below picture for detailed solution.

Q: 9) 1 What value(s) of x makes + ed 0.91/14 4|33|4 b. 0, X x+4 = 2 true? C. d. 2√√3 3 3

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Q: Average Cost The total daily cost (in dollars) of producing a mountain bikes is given by C(x) =…

A: Given, C(x)=7000+4x+0.7x2

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

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Q: Solve the given differential equation by undetermined coefficients. y" - 2y' - 3y = 4ex - 6 y(x) = 4

A: See this solution in below

Q: Find a set of parametric equations for the line passing through the point (7, 0, 2) that is parallel…

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

A: The linear operator that annihilates anxn+an-1xn-1+....a0 is Dn+1 The linear operator that…

Q: (c) Find a function f such that F = Vf where F(x, y, z) = yzi+xzj + (xy + 2z)k.

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Q: Find the general solution of the given higher-order differential equation. y"" - 7y" + 8y' + 16y = 0…

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Q: The indicated function y(x) is a solution of the given differential equation. Use reduction of order…

A: We need to find y2.

Q: The indicated function y₁(x) is a solution of the given differential equation. Use reduction of…

A: Given that      differential equation   6y''+y'-y = 0      ,        y1= ex3         and…

Q: Solve the given differential equation by undetermined coefficients. y" - 2y' - 3y = 12e* - 12 y(x) =

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Q: VALUE INSIDE THE CIRCLE cos² x Yp = D²+1 For given particular integral multiplying and dividing by 2…

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Q: . Find the open interval(s) on which the function is increasing and decreasing.

A: Given :f(x)=9x3-11x

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Q: Identify the type of solution for the problem and solve for the general equation

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Q: Evaluate the iterated integral. π/4 ** ['y cos(x) dy dx

A: Please see the below picture for detailed solution.

Q: Use sigma notation to write the sum. 7 [›( ² ) + ²] + [²( ² ) + ²] + ... + [>( ² ) + ²] X 7j 214 Σ j…

A: Given the sum is 714+2 + 724+2 + … + 784+2

Q: Consider the differential equation x²y" - 6xy' +10y = 0; x², x5, (0, ∞). Verify that the given…

A: We need to find general solution.

Q: ∞ Determine whether the series (-1)"- n gent, or divergent. n=1 is absolutely convergent,…

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Q: Find the area bounded by the curve y=x^2 and the x-axis and the lines x=1 and x=3.

A: Given: y=x2, x=1, x=3, and x-axis or y=0. So, from the given curves the bounded region is as shown…

Q: 6) Identify the vertical and horizontal asymptotes of (x)= x-4 - 2x+17 b. vertical-x- 4, horizontal:…

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Q: Identify any extrema of the function by recognizing its given form or its form after completing the…

A: The given function is fx,y=x2+y2+6x-18y+3

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Q: (x + y) dx + (3x + 3y - 4) dy = 0

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Q: For the function f(x,y,z) = x rr fy 11 he e = 11 f₂ = N fyz 10 8z+1 -9 8z+1 (9y-10x)8 (8z+1)² 11 72…

A: The given function is;  f(x,y,z)=(10x-9y) /(8z+1).

Q: Determine whether or not F is a conservative vector field. F(x, y) = (my + ²)i + (mx + 7);

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