Provide a step-by-step solution to the following differential equation (linear equation) (y-x + xycotx)dx + xdy = 0 ans: xysinx = c +sinx - xcosx

Q: 3x+1 7. 9e ax

A: The given integral,       ∫9e3x+1dx

Q: Compute for the initial velocity of 3÷(cos(45)×38. Show your complete solution

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Q: Match the graph of the above function with the graph of its derivative.

A: Given data÷

Q: Solve the following Initial Value Problem using Laplace transform: y" – 9y' + 8y = e-8t ; y(0) = 1,…

A: The given equation is  y''-9y'+8y=e-8t; y(0)=1,y'(0)=1

Q: Given the differential equation 9 y' y" Using Reduction of Order and the letter "R" to this…

A: To find the solution of given differential equation.

Q: 5- [(tanx + secx)? dx

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Q: Write the following first-order differential equations in simplified standard form. dy (5х + 3)у +…

A: We have to write the given first order differential equation in standard form .

Q: Given the differential equation y" = 4 x y' Using Reduction of Order and the letter "R" to this…

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Q: I. Evaluate f V A 4x + 4x + 5dx

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Q: Suppose car A is heading south at 85 km/h and car B is heading east at 90 km/h. Both are headed for…

A: Consider

Q: Solve the boundary value problem y" – 10y + 25y = 0, y(0) = 3, y(2) = -2. || %3D

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Q: 3. S**dx х2-1

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Q: Find the derivative of the given function. Fill the missing expressions. Use logarithmic…

A: The given function,    y=x.secx.x2+1

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Q: 6. A square plate 3 ft on each side is submerged with the top side parallel to the surface, 5 ft…

A: This is a problem related to force exerting on square plate by water. Based on Archimedes principal…

Q: Question 1 ( Use the First Derivative Test to find the local maximum and minimum values of the…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 2.x4 h(x) = 5x³ + 6 .

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Q: Q3/ Find the area of zone bounded by curves: y= x? , y= 3x+8

A: Given

Q: Consider the differential equation y" – 11y" + 28y = 0 Write the auxiliary equation of the given…

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Q: Provide a step-by-step solution to the following differential equation (linear quation) y' =…

A: The given differential equation is; y' = x-2ycot(2x).

Q: Evaluate the triple integral. xyz dV, where G is the solid in the first octant that is bounded by…

A: Let's find.

Q: Solve for the volume of the solid generated by rotating the plane bounded by the equations below…

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Q: Find the arc length of the parametric curve. x = 4 cos(t), y = 4 sin(t), z = 3t; 0<t< T L =

A: Given parametric curvex=4 cost , y= 4 sint  , z=3t ;  0≤t≤π

Q: Find the arc length L of the graph of r(t). r(t) = 10 cos(t)i+ 10 sin(t)j+ tk, 0<t< 2n

A: To find the arc length of the given graph.

Q: 3. Compute the f(x, y) = 4x³ + 6xy² R=[1,3]x[-2,1]. iteration for the function on the rectangles

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Q: 2 Determine f(x), given f'(x) = x´ – 3x + 1, and f(0) = 2.

A: As per the company guidelines we are supposed to answer only the first question.Kindly repost the…

Q: What percentage of bookcases in the example are large? Large constitute: ______ %

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Q: 4 sin? x cos? x dx. sin(2.x) cos(2.r) Evaluate the integral (a) In |sec(2a)|+C (c) In |sec(2x) +…

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Q: We have 1 d (In(x² + 1)) : dx x2 + 1 Select one: O True O False

A: As we know that; The Chain rule; fgx'=f'gx·g'x The Power law; ddxxn=nxn-1 And ddxlnx=1x   Given;…

Q: Verify Green's Theorem by evaluating both integrals an aM dA y² dx + x² dy = |/ əx ду for the given…

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Q: Two linearly independent solutions of the differential equation y" + 6y' + 9y = 0 are Select one: yi…

A: characteristic polynomial  r2 + 6r + 9 =0 (r+3)2 =0 r = -3 solution of this eqaution is y(x) =…

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Q: Activities in Inverse Trigonometric Functions dy Find the dx 1. у %3D sin-12х — V1— 4х2 2. у %3D…

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Q: Find the area bounded by y = x + 4 and y = x2 - 2.

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Q: 4. If f(t) = 3 sin(4t + 0.12) – 2 cos(3t – 0.72) determine f'(t) when t 3 - %3D

A: Solving

Q: Question 7 of 10 The vat shown in the accompanying figure contains water to a depth of xo = 1.9 m.…

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Q: S Evaluate L-'{- | (s² + 144)(s – 8)

A: We have to evaluate  L-1ss2+144 s-8.   We know that L-1ss2+a2 = cosa·t L-11s2+a2 = 1a·sina·t L-11s-a…

Q: f(x + Ax)-f(x) D. APPROXIMATE DERIVATIVES f(x) = Ax 8.) 2A

A: Given function f(x)=2x

Q: Question 2 of 10 Find the exact arc length of the curvex= + 2) trom y= 0to y 5. Enter the exact…

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Q: A wooden box is to be made of lumber that is in. thick. The inside length is to be 6 ft, the inside…

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Q: Provide a step-by-step solution to the following differential equation (linear equation) (2x+3)y' =…

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Q: pyramid hip roofs (see la). As an eco-conscious person, Sharon would like to install solar panels on…

A: answer is in first step

Q: 1. 2) (EF Simplify and find the value of (2) loga-1)2) log a - (2) 1) as a single log 2a1) logarithm…

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Q: Incorrect. The flat surface shown is submerged vertically in water. Find the fluid force against the…

A: To find the fluid force. Given, flat surface submerged vertically in water. l = 9810 N/m^3

Q: The substance's amount at time t may be modeled by an exponential function. Substance X has an…

A: Here, the exponential model is: A=A0e-kt...(1) Now, given that A0=300 mg. So,  A=300e-kt...(2)

Q: 3- f xvx2 +1 dx

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Q: Work Problem 2( Question 1 ( Use the First Derivative Test to find the local maximum and minimum…

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