Solve using Variation of Parameters (D² + 1) y = tan x O y = c₁ cos x + c₂ sin x − cos x ln(secx + tanx) - O y = c₁ cos x + c₂ sinx - sin x ln(cscx + cot.x)

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A: Please refer to the image below t

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A: Concept: Volume using triple integrals: Let D be a space region that is closed and bounded. Let a…

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A: The given integral:∫01x3x+1We need to evaluate the definite integral.

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Q: √√1-25x² dx

A: This question can be solved by the concept of some special integrals.

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A: topic- geometric series

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A: Solved below.

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A: This question can be solved using the concept of speed,time and distance.

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Q: Solve the equation: (D² - 4) (D+2) y = 0 Oy=c₁e²x + c₂x²x + c3e-²x Oy=ce+exe + c3e

A: To solve the given differential equation.

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A: ∫sec2u du = tan(u)+C

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Q: d. e. f. 1 R, Re 1 1 + 4.5×10²2 9.4×10² (1.7×10³ J)-(3.3 × 10² J) (1.7×10³J) = - e= (1.33) sin 25.0°…

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Q: Find an equation of the plane tangent to the following surface at the given point. yz e x² + +42=0;…

A: The given equation is;  yzexz+42=0; (0,-7,6).

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A: Given, ∫012x31-x4dx

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A: Given problem:- Find the local maximum and minimum values of the function f(x) = -x- 25/x using the…

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A: To find  ∫excos 2x dx we use the integration by parts and it will give another integral in which we…

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Q: Test for convergence/divergence, State the theorems used.

A: As per guidelines, I can answer only one question. Since questions are not interlink with each…

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A: The given isosceles triangle with legs of length l=10

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A: Finding the value of determinant

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Q: dr 2√x+3+x d. ·S e. dx x√4x + 1 SIV f. dr x√4x²+1

A: These questions can be solved using integration by substitution.

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