A. Exact Differential Equations Verify that the following DEs are exact, then find the general solution (1) and particular solution (2). 1. [cos(x+y)+cos y-3x²] dx+cos (x+y)-xsin y+e*(y+1)]dy=0

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Q: angle between 0∘0∘ and 360∘360∘ that is coterminal with the 1950∘1950∘ angle is what degrees.

A: Topic:- trigonometry

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Q: x-3 lim x→3+ √x²-9

A: it is a problem of right hand limit

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A: The objective is to find and and sketch the domain of the function.

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Q: Find the General Solution G.S. 1. (2xy - 3x²) dx + (x² + 2y)dy = 0 2. 6x + y²) dx + (2xy − 3y²)dy =…

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Q: which of the following is a function? x2-(y/5)2 =12 9= cos y + 2sin2x cos 2x - y=7 |7-y| = 4y

A: A function is a kind of rule that, for one input, it gives you one output.An example of this would…

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A: Please see the below picture for detailed solution .

Q: (e) Finally, consider f along rays emanating from the origin. Note that these are given by y = mx,…

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Q: Solve for the complete solution of the differential equa y" − 6y' + 9y = 0; y(0) = − 1, y'(0) = 2.…

A: Topic:- differential equations

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A: Here is the solution:

Q: Solve:  dy/dx=1+e^(y-x+5)

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Q: Use a graphing utility to graph the region bounded by the graphs of the equations. Then find the…

A: Given data:- y=2xe-xy=0, x=4

Q: Solved the following set of equations 16x + 2y 2z = 16 2x 14y + 4z = -8 4x + 2y + 18z = 24 Using…

A: Given: 16x+2y-2z=16 2x-14y+4z=-8 4x+2y+18x=4

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Q: Eliminate the arbitrary constants. y = We-x + Ve³x

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Q: Let f(x, y) = 4√√xy² + 4y+exy. Suppose that z = f(x, y) with x = ln(2s — t²) and y = 2s²t² + t. Use…

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Q: y(x) = C₁ e ² + C₂ e ²*, + 4 SiN X, Y (0) = 1, y' (0) = -1

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Q: The price per barrel of crude oil in the period 1980-2013, in constant 2014 dollars, can be…

A: Topic- functions and derivatives We are given,Price per barrel of crude oil since t years of the…

Q: Determine an equation of the circle represented by the graph below: -05 2+ 2²+ -0.5 y+ 0 Fill in the…

A: Topic = Circle

Q: Solve the given differential equation (2x + 4y - 1) dx - (x +2y-3) dy = 0 O 3x − y + 2 ln(x + 2y −…

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Q: Integrate: 16-y4 y³ - dy

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Q: dy 3. Let y = (f(x) + 5x2)4 and suppose that f(-1) = -4 and = 3 when x = -1. Find f'(-1). dx

A: Given that y=fx+5x24 along with it when x=-1, there will be f-1=-4, dydx=3 We have to find the value…

Q: 1. Graph the following function on the board: f(x)= 0 1+x 1-x 0 -∞0 < x < -1 -1<x<0 0≤x<+1 +1<x<+∞o

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: The area = B cm² CL a Find the area of a triangle with a = 1.5 cm, b = 3.4 cm and y = 125°. Round…

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Q: 2 = (¹1);^ _'¹1 = (¹) ^ [1 − ₂*x + ²) + × ¹) = (x) ^

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Q: At which value of y does the relative minimum for the curve y = 3x³ 3x² - 24x + 10. A. -19.5 B. -26…

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Q: 29. Σ n=1 n In2 + 4η + 1

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Q: 3x Solve for the complete solution of the differential equation: y" — 6y' + 9y = e³x Inx. What is…

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Q: The equation y +y-xy = x' defines a curve in the xy-plane called an elliptic curve. (a) Find the…

A: Given equation is is y2+y-xy=x3   .....1

Q: - If f(x) = 4x² – 20x + 21, evaluate_lim_f(8 + h) − f(8) h→0 h If an answer does not exist, enter…

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Q: lve I need a clear answer by hand, not by keyboard | dybala x-y d (b) = 21.

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Q: T = 7/24 31nx - secydx - 5xsin ydy=0;y (e ³) : .

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Q: If g(s) g'(s) = = 2s²- 19s +6 s² -, compute g'(s). Hint: Simplify g(s) by writing it as a sum of…

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Q: Check for exactness and obtain the general solution. 1. x(3xy - 4y³ + 6) + (x³ − 6x²y² - 1)y' = 0

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Q: (2xy - 3x²) dx + (x² + 2y) dy = 0

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Q: (a) Show that y = e(c₁ cosa + c₂ sin x) is a general solution of y" + 2y' + 2y = 0. (b) Deter- mine…

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Q: then n = √a· √² = √d" 5 n q q and m =

A: am.an = am+n .