Determine the required integrating factor y dx + (2x+1-xy) dy=0 xe O 0x²e-x -X ye O2-y

Q: how all necessary solutions and box all final answers. 1. Find Do not simplify. dy dx (a) cos (x +…

A: Find dydx.  a) cos(x+y)+tanh-1(sin2x)=ln3+ysech(1x2)b) y=(x-e)8sin-1(2x)(5+2logx)97

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Q: Find the slope of the tangent line to the curve x² - 4xy – 2y³ = 14 at the point (2, -1).

A: Given data: Equation of the tangent line: x2-4xy-2y3=14

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A: Solution: y"' -y"-y'+y=0 The Auxiliary equation can be written as m3-m2-m+1=0

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Q: -5 -5 1 [ f(x) dx = 3, •[ 9(x)dx = 5 6 -6 Let f and g be continuous functions. If

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Q: Question 2 Using the graphs of f (x)and g(x) from the video, find k'(6), where k (x) = k'(6)= k(6)…

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Q: The surface is: no graph an elliptic paraboloid an ellipsoid a point a cone x²+y²+z²-4x-4z=0

A: To determine the name of the surface represented by the equation, x2+y2+z2-4x-4z=0.

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A: Solve for derivative

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A: We know Standard equation of circle with center h,k and radius rx-h2+y-k2=r2

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A: derivative gives slope

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

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Q: 1. Given a function f, (a) show (by a suitable computation, not by viewing the graph) that f is…

A: One-to-One function:- A function is said to be one-to-one if it is one-one and onto.One-one function…

Q: Suppose a² = 8, F(x) = f(x³), G(x) = (f(x))³ and: f(a) = 2, f'(a) = 6, f'(a³) = 2.

A: Topic = Functions

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Q: Let F(x) = f(f(x)) and G(x) = (F(x))². You also know that f(8) = 10, ƒ(10) = 2, f'(10) = 4, f'(8) =…

A: Given  Fx = ffx  and  Gx = Fx2. Also we know that  f8=10,  f10=2,  f'10=4,  f'8=11.

Q: [4+ n-3n² 4n² + 1 {ln(12n+2) — ln(9 +4n)} (a) { (b) (c) { { (2n-1)!} (d) {cos(NT) + (f) {n(√n²+1-n)}…

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A: Given Reproduction function for rainbow trout fp=58p, p and fp are in thousands and p≤1000

Q: Let F(x) = f(x¹) and G(x) = (f(x))¹. You also know that a³ = 13, f(a) = 2, f'(a) = 15, f'(a) = 4…

A: The Solution is given below-

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Q: Use the separation of variables to find the general solution to dy/dt = (3t + 2)*y^(4) Be sure to…

A: We have to find the general solution to the differential equationdydt=(3t+2).y4

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Q: E(k) = h2k2 2maz 1 - a2 272 k2

A: solution  d2Edk2=h2ma2{1-3a2k2π2}

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Q: If f(x)= f'(x) = f'(4) = √-6 √x+6 , find: >

A: f(x)=x-6x+6

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Q: 3.) Differentiate. Simplify, if possible. g(x) = (5x²-8x)e²-4x

A: Given query is to find the derivative.

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Q: II. Determine whether f(x) = = 0. 5x2 + [x]] +1, -5x² + tan(x²), x 0 is differentiable at x = (Hint:…

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Q: ) You have a bag of lots red and white marbles. In the worst case, how many would you have to pull…

A: Concept: Let k be the number of colors and m be the number of marbles you want of the same color. we…