Consider the following differential equation xy' + 2y = exx, X x>0 Find the integrating factor u(x). 5) Find the general solution of D.E. (I). ...(I)

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A: To find the volume of the figure generated upon rotating the curve.

Q: . Functions of Several Variables Draw the domain of the following function f(x, y) = In(x + y2) x²-1

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Q: need evaluation steps

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Q: Find the equation of the line tangent to the graph of f(x) = -x² - 4x + 1 at x = -4

A: Given :To Find :Equation of tangent at x=-4

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A: dy/dx = y3 – 2y – hWhich of the equilibria, if any, are stable?

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A: To find the most general real valued solution to the given linear system of differential equation.

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Q: Calculate the double integral. JS₂x x ‹ sec²(y) dA, R = {(x, y) |0 ≤ x ≤ 2,0 ≤ y ≤ I} R

A: here we have to solve the double integral .

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Q: Find the derivative of each of the following functions, f(x)= (1+x+x²)⁹⁹ 99 f(x)= 99(1+x+x²)⁹8 (1 +…

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Q: Consider the following. 1₁x²² +1° - dA, D = {(x, y) 10 ≤ x ≤ 3,0 ≤ y ≤ √x} Rewrite the above as an…

A: NOTE: Refresh your page if you can't see any equations..

Q: 2. Improve your estimate of the area under the graph of f(x)=x²+7+1 from z=3 tox=9 by using twelve…

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Q: The arc lenght of the curve (t)= (2t)i + (t²)j + (In (t²))k for 1 ≤ t≤e is. A) eº+11 B)e²+3 C) **+7…

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Q: 3. Find the indefinite integrals of -3.x a. e³* cos 2x b. -4-5 C. cos³x sin²x d. √x+2 x+6 (Hint use…

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Q: Calculate the Taylor polynomials T₂(x) and T3(x) centered at x = for f(x)=tan(x). a. T₂(x) = b.…

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Q: Suppose f(x) = -3x² + 4. Evaluate the following limit. f(−3+h)-f(-3) h lim f(−3+ h→0 = Note: Input…

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Q: B) Find the value of k so that the line: [x, y, z) = [2, -2, 0] + [3, 5, k] is parallel to the…

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Q: Solve the following set of equations by graphing. y+ x = 9 3y= 2x+8 Stan O (3.75, 5.25) O (3.8, 5.2)…

A: we have given Two equation  y+x=9       equation (1)and   3y-2x= 8      equation (2)

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A: here we have to find the equilibria of the differential equation.

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Q: The following set of equations would best be described as: y=x² x=y O consistent and dependent O…

A: The following set of equations would best be described as :y = x2x = yconsistent and…