(x+y cot) dy-ydx = 0 (Homogeneous)

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A: solution is given below

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A: We can solve the given differential equation by using the variable separable method

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A: For horizontal tangent slope y' = 0

Q: First verify that the given vectors are solutions of the given system. Then use the Wronskian to…

A: Please see the below picture for detailed solution.

Q: State the order of the given ordinary differential equation. ty(6)t5y" + 5y = 0

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Q: Which of the following is not a plane? OF- (1,3,4) + s(2,-1,2) + (1,1,1), s,t e R O-(2,4,2) +…

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Q: A) Find the Laplace transform of (2 03

A: We have to solve given Questions.

Q: The limit represents f '(c) for a function f(x) and a number c. Find f(x) and c. 4√√x-8 lim X→4 x-4…

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Q: Q1: (a) Sketch and find the domain of function 1. f(x,y) = √(x²-4) (²9) 2. f(x, y) = ln(x² + y² - 4)

A: By our policies we are allowed to solve only one question at a time. Kindly repost other problem in…

Q: Find an equation of a line that is tangent to the graph of f and parallel to the given line. Line…

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Q: Find the value(s) of k that makes the given function continuous. 4x 5 if x < k f(x) = { = x++1 ifk…

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Q: Find the derivative of each of the following functions using any method. 4.) f(x) =…

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Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. y = x²…

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Q: Find the solution of the given initial value problem. πT ty' + 2y = sint, y = 3, t > 0 Y ||

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Q: Solve the given differential equation by finding, as in Example 4 from Section 2.4, an appropriate…

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Q: Calculus I Consider the following graph y=f(x)  Where dy/dx is zero?

A: If we have horizontal tangent , dydx=0 .

Q: Find the general solution of the given differential equation, and use it to determine how solutions…

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Q: Find the general solution of the given differential equation. 2 dy dx - + 6y = 3 y(x) = Give the…

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Q: Q3 Find the value of Q. where Q = M/N. " 6 3 1 M= 7 -2 -1 40 1. Add file L-3 4 ГО TO N=1 L2 91 1 3 7…

A: See this solution in below

Q: f(x) == What is 1 a) Consider the function its domain? b) Now consider the function g(x, y) = ².…

A: As per our guideline if multiple questions are posted we are supposed to answer only the first one…

Q: 2) Find the oneer bounded by x = 3y²-9, x = 0, y = 0, y = 1 a) 8 b) 6 c) 4 d) wone of the above

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Q: 9-1² 9-1²-² 1.****** (a) 1 dz dy da Sketch each of the following: . the solid E • the projection of…

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Q: You are driving a car away from home. Your velocity (miles per hour) t hours after noon is given by…

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Q: Find the arc length of the curve y = 2/3 (x − 1)3/2 on the interval [2,3]

A: Arc length is given by the following formula

Q: Question 2: Let E be the solid inside the surface x² + y² + z² = 10% and above the plane z = 5. (a)…

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Q: 3. Choose three vectors: and Use these vectors to verify the associative property.

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Q: 4) If y = 2√x - 2 tan-¹ √x, then y 1 -1 1+x²*

A: We have to find y' for the given function.

Q: Find the equation of the line L2, pass through the point (2,-1) that is parallel to the line L1…

A: The line L2 pass through the point 2,-1 that is parallel to the line L1: 2x+4y=12

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Q: 7. Determine the dimensions of a rectangular box, open at the top, having a volume of 32 ft³, and…

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Q: rectangular plot (the fourth side is a er and will not require fencing). Find the dimensions of the…

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Q: 3) Suppose f (x, y) is a differentiable function. a) If (a, b) is a critical point of f (y) (in the…

A: As per our guideline if multiple questions are posted we are supposed to answer only the first one.

Q: 10. Show that there is a root of cos(x): = in the interval (0,7). TT Do NOT find the root. Explain…

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Q: -2 2 о 0 Ау N Х

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: * The following function f(x) = x^4 sinx is odd о neither O O even

A: Replace x with -x

Q: 8-9 Let A = 2 3 (a) Find 5A +6B. 5A +6B = and B= 9-2 Complete parts a through d.

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Q: dx X २ Assume that x and I are differentiable functions of t, and 3xx -x ³² + y² = @ 3 Find dx (xc)…

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Q: 3) √ √6x-x² dx a) 12 (x-3) √ 6x-x² + 2 arcain 2/ arcain X=² X-3 te 3 (x+3) Gx-x2+gain x3tc 3 c) —…

A: solution

Q: 5(c) Find the rectangle with the largest area that can be inscribed in the top half of the ellipse ²…

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Q: Find h'(-3) if h(x)=4g(x)-5f(x), f(-3)-7,and g'(-3)=-2. Oh'(-3)-0

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Q: ९२ e 17 olx

A: ∫1e2(1-x)/dx2x here integration is given  ∫1e2 dx/2x - ∫1e2 dx/2 (1/2)[lnx]1e2 - [x/2]1e2 (2-ln1)/2…

Q: 6 + 5 4 3 2 H -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 + The graph above is a transformation…

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