(axy + x² + x4 ) dx – (1 + x²)dy = 0

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Q: based off below graph true or false is f(x) is differentiable at x=3

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Q: Solve number 1 1. The radius, r, of a sphere is increasing at a constant rate of 0.05 meters per se...

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer...

A: We have to solve the problem

Q: Find the Laplace Transform of the following function:

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Q: EXpressthe ubtrac long and direction i+ +kandVz has 13 unit long and directiun12i k 13

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Q: D.(1,2), where f(x, y) 14x-y in the directionof v (2,-1)

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Q: using homogeneous d.e approach, solve (x^3-3xy^2)dx= (y^3-3x^2y)dy

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Q: Write the general solution of the given differential equation. y'' + 5y' + 6y = 6e^4x .

A: solution of differential equation

Q: Determine the general solution of: - 8 + 22 - 24 + 9y = 0. d³y dx dx

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Q: Consider the function. f(x) = z2/3, a = 1, n = 3, 0.9 <I<1.1 %3D (a) Approximate f by a Taylor polyn...

A:   Solution:

Q: Evaluate limits x - 3x +2 lim X-1 2x +x-3 lim x9x +1 i, XV

A: Here we have to elevate the limit for the given questions

Q: 2 1 Find x if x 4-110 0 4=0 2 2 4

A: Topic = Matrices As per guidelines , At a time only one question can be answered out of different mu...

Q: Let R be the region bounded by curves x= 4y^2 + 8y and x= y^2 + 3y +2 Find area of region R Find per...

A: According to the Bartleby guidelines, I'm answering the first three sub-parts for you. Please re-pos...

Q: 4. arctan (x + y) = y² , (1, 0)

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Q: Let I = S e2* dx. The approximation of I using the two-point Gaussian quadrature formula is: O 10.16...

A: This is integral problem

Q: Finda-Vectaksunit, tengthinthe direction_ef the Vector A=ixjtk-

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Q: A farmer has 10,000 meters of fencing materials. Find the length of the largest rectangular lot he c...

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Q: (-1)" -2 3" + 3n 1. Determine the interval of convergence for the series whose nth term is

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Q: Determine the critical points of the functions belaw and find out whether each point coresponds to a...

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Q: cos COS y + x, ) da, R

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Q: 2. For each infinite series, determine whether it converges or not. If it converges, determine wheth...

A: Limit comparison Test :   If ∑an  and ∑bn  are two positive term series and L=limn→∞anbn then ,if L ...

Q: please kindly evaluate the limits and or explain why it does not exits  Limx->1 (1/x2+1)

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Q: Find the particular solution of (xcos? - y) dx + xdy = 0 ; where y and x = 1 - у %3D = - 4

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Q: Haw ExRressthe Subtractionof Vrand Ve if Vhas 6unit tong and directioni+ Žkand ve has13 unit long an...

A: Let's find. 

Q: (a) Evaluate limits x? - 3х - 4 i. lim- X4 Vх - 2 3x +1 lim i. x--* J4x -1 X-0

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Q: Is f(x) = ln(x) uniformly continuous on (0, 1)? Justify your response.

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Q: Evaluate Jz' – 48z11 – 5z16dz - -

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Q: 8. (a) Provide a counterexample to show that the statement "If So f(x)dx is convergent, then limo f(...

A: We need to find all values for which series converges. 

Q: Given the function f(x) =-2x² – 12x-10, identify the following, and then graph. A. Vertex: B. Axis o...

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Q: a ,(x – 1) dx а. b. 2n f y[5 – (y² + 1)] dx

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Q: dzy dy +4 +4Y = X•ē=X Xp dx2

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Q: 6n + 2 3. n→∞ 2n + 1 3. Using the definition (i.e. N, E), prove that lim

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Q: What is the integral of sin^5 x dx if the lower limit is O and the upper limit is T/2?

A: We have to find out

Q: What is the integral of (3t – 1)³ dt?

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Q: please state whether the below or true or false based off the graph  is f'(-2)>0

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Q: z=Vx?+y?. Compute the volume of the solid bounded by the surfaces x2+y2=8y, z=0 and

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Q: The letters r and 0 represent polar coordinates. Write the given equation using rectangular coordina...

A: Recall:  The relation between polar coordinates and rectangular coordinates is   x=r cos θ, y=r sin ...

Q: Evaluate the integral of dx / (x + 2) from -6 to -10

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Q: Integrate: (7x³ + 4x²) dx

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Q: dentify the coordinates (ordered pairs) of any and all holes (removable discontinuities) of the func...

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Q: r(t) = 5 cos(t)i + 5 sen(t)j+3tk.

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Q: Calculate the volume of solid B: = { (x, y, z) : x² + y² ≤ 2x, 0 ≤ z ≤ x + y, x ≥ 0, y ≥ 0 }.

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Q: Evaluate the integral of cos?ydy

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Q: Please kindly find the area of a circle is increasing at a rate of 24π cm2/ sec, how quickly is it's...

A: Given query is to find the rate of change of radius.

Q: x+5 Identify any and all vertical and horizontal asymptotes of the function ƒ(x)= o x' - 2x – 24 If ...

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Q: Find the area enclosed by the curve r = a(1 - sin theta).  Show full solution

A: We have to solve the problem

Q: 5. A 30-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1 H...

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Q: The Saint Vincent Hotel and Leisure determines that its total monthly profit P(x), in hundred thousa...

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Q: Using Laplace Tramform solve intial value problem y-2y'+y ="; d0) =0 : y'(0) = 0

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