In Problems 1-6, identify the equation as separable, linear, exact, or having an integrating factor that is a function of either x alone or y alone. 1. (2x+yx¯¹) dx + (xy-1) dy = 0 2. 3. (2y³ + 2y²) dx + (3y²x + 2xy) dy = 0 (2x+y) dx + (x-2y) dy = 0 4. (y² + 2xy) dx - x dy = 0 5. (x²sin x+4y) dx + x dy = 0

Q: For each statement,write true or false {0,2,6}={6,2,0} {2,3,4} =[2,4] {XER:0≤x≤6}= [0,6]…

A: We will  state whether the statement is true or false.

Q: D] Find composite functionsf(g(x)) and g(f(x)) for given f and g 1) f(x) = 3x + 1, g(x) = 2x² 2)…

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Q: 1. The graph of f "(x) is continuous and decreasing with an x-intercept at x = -3. Which of the…

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Q: im (x²-C² if X<4 1 f(x) = {(x+5 x²-c² (x + 5 if x = 4 lim

A: Given:-x2-c2   if x&lt;4cx+5    if  x≥4f(x) is continuous at x=4solution:-if f(x) is continuous at…

Q: State the domain of the following graph. 46 55 14 D (1.2.3.3.4.5) KD) (-2,-1.0.1.31 is 0.1.21 44 H(5

A: what is domain of function ? here graph is given  domain : input value of function here x is input…

Q: (1) Sketch these four lines y = 2x + 1, y = -x, and x = 0 and x = 2. Then use integrals to find the…

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Q: Find the differential equation by eliminating the arbitrary constant/s. y = = Aex cos x + Bex sin.x…

A: We differentiate the number times as the number of arbitrary constants present in the equation and…

Q: 5000 liters of the toxic substance Trioxin was dumped into the local swamp at the beginning of the…

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Q: y=de³x + be-3; y"-9y=0 -3.x.

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Q: 2. Verify that the function is solution to the given differential equation. et 1+ et d.P dt =…

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Q: Find and simplify each of the following for f(x)=3x-6. (A) f(x + h) (B) f(x+h)-f(x) (C) f(x+h)-f(x)…

A: Given query is to perform indicated function operations.

Q: Find the limit. lim √x+15 cos (x+4) X→-4t lim √x+15 cos (x + 4) = X--4t (Type an exact answer, using…

A: We need to find the limit of the given function as x approaches the value -4π. For all x≥ -15 the…

Q: Ex: Find the distance between the pt G(4₁-4,4) and the line x=2t₁ y=Z-3, z = at +2₂

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Q: Find the value of c such that the function is continuous on the entire real number line. f(x)=…

A: Topic = Functions

Q: Find the domain and range of the function. (Enter your answers using interval notation.)…

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Q: Find the area of : y: 4/x, y-4/x2, x=6

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Q: Solve for a. 8. 9a 16 - a² = 9. 54 = a4 10. a² - 16 = 32

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Q: - - Find the cross product (-2i - j + k) × (3i − j − k). Answer:

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Q: Find an equation for the plane through the points (3, 4, 5), (-1, 2, 0), (-2, 0, 2). The plane is

A: Find an equation for the plane trrough the points (3, 4, 5), (-1, 2, 0), (-2, 0, 2) .

Q: 4. For each graph below, answer the following. a. Is the polynomial an even or odd degree…

A: As per our guideline we are allowed to answer only three subparts of the given problem. Kindly…

Q: C] Find the domains and ranges of the following relations 1) 3) F 67 2 0 -2 2 10 2) 5 0

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Q: Find the domain of the function. (Enter your answer using interval notation.) √x 8x² + 7x1 g(x)= =

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Q: III. Find the differential equation by eliminating the arbitrary constant/s. 1. y-¹ = x(3e* + c)

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Q: Use function composition to determine if f (x) ar (a) Yes, they are inverse functions. (b) No, they…

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Q: The series True O False Σ n=1 (-1)"-3 √n is absolutely convergent.

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Q: (a) Find a vector parallel to the line of intersection of the -2. 3y - 4z planes -x + 3y + 4z = 0…

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Q: 4 = √² 43 √8-7x8 dx

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Q: Find the limit x-5 lim x→5 x²-25

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Q: 13. If f is a continuously differentiable real-valued function defined on the open interval (-1, 4)…

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Q: 2) Consider the function g(x) = 5 + 6x²-5x-1 3x³-4x+1 a) Find the Limit of g(x) as x approaches…

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Q: 2) Suppose that a fashion company determines that the cost, in dollars, of producing x cellphone…

A: NOTE: Refresh your page if you can't see any equations. . take x=400

Q: a) b) c) -4 -3 -2 -1 lim f (x) x-1 lim f(x) X→-2 lim ¿ x- 2*¹ f (x) ¿ f(x) LO 4+ 3- 2+ 1- 0 H -2+ 1…

A: Given that a graph and we find given limits - a) lim(x tends to 1) f(x). b) lim(x tends to -2) f(x).…

Q: For what values of a and b is the following function continuous at every x? - 10 f(x) = axb 4 x≤ -3…

A: Function to be continuous at point x = a, it must be defined at that point.

Q: Find a vector parametric equation (t) for the line through the points P = (1, −4) and Q = (−2, −9).

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Q: 6a + 24 3a-24 2 으 - a -16 a ²-2a-48

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Q: 10. A particle moves on the x-axis so that its position is continuous on the interval [3, 13] with…

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Q: For what value of a is the following function continuous at every x? f(x) = a²x-8a, x≥2 X<2 OA. a=…

A: Topic = Functions

Q: C. Find the standard form of the equation of a circle given the following conditions. 10 10. Passes…

A: We can solve it by various method but i solved it as shown below.

Q: 5) Prove that : tanz 올n(를) i-z

A: tan-1z=i ln[(i+z)/(i-z)]/2.

Q: Write an equation of the plane with normal vector n (7,5, -4) passing through the point (1, −5, 1)…

A: Given; n=&lt;7,-5,4&gt; Point (1,-5,1).

Q: maximum

A: The fine F for violating these limits is $10 for every mile above the maximum or below the minimum.…

Q: Determine whether the given points are on the graph of the equation. x² + y² = 9; (0, 3), ( · (√₂·…

A: To determine the points are in the graph of the equation we just put the points on the left hand…

Q: Let f and g be functions defined as f(x)=x²- 2x + 4 and 25 4 DNE 1 g(x) = 3x² + ²3. If h(x) ≥ g(x)…

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Q: 5 4 3 2 in -5 -4 -3 -2 -1 77 1 1 2 -3 -5+ ● 2 Write the domain of the function above using interval…

A: A graph of a function is given below. To write the domain of the function above by using interval…

Q: Re-write the given equation in slope intercept form, give the slope and y-intercept, and graph the…

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Q: f(x)=x²-4 2 X-X-6

A: Factorize the numerator and denominator.

Q: -1.5 0 1.5 For what value of constant c is the function k(x) continuous at x = 0 if k(x)= No such…

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Q: Make a table of values for the equation. y = 5x X -2 1 1 2 || y Sketch a graph of the equation.

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Q: (b) y = √2-3x

A: y=2-3x

Q: a) Find first and second derivatives of the following functions: x³ + 7x y=-cot(3t-1)

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