Exact equations: Solve * 3xy dx + (3x²y + 4y² ) dy = 0 xy3 + y4 = c y? + y* = c

Q: In this situation, finding the indefinite integral is most easily achieved using the method of integ...

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Q: In the process of solving the differential equation g" – 5x'y = cos(5x), x > 0, - which of the follo...

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Q: The length l, width w, and height h of a box change with time. At a certain instant the dimentions a...

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Q: 2. Tell one Solution to this graph. 1.

A: topic- inequality

Q: A rectangular plot of land is to be fenced in using two kinds of fencing. Two opposite sides will us...

A: Answer: The solution is as given below:

Q: Sketch the region bounded by the given curves, then find its area. 2. x = y2, x = y +6

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Q: Write a differential equation that models the given situation. The stated rate of change is with res...

A: Find your answer below 

Q: Sea(4 + e3*)-1 dx

A: Solving the problem by finding the solution of the integral.

Q: Jse cylindrical coordinates to calculate fSfw f(x, y, z) dV for the given function and region: f(r, ...

A: We need to evaluate integral using cylindrical coordinates.

Q: 35 and A is in quadrant 4. 12 Find tan(2A), if tan(A)

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Q: How many nonzero terms of the Maclaurin series for In(1 + x) do you need to use to estimate In(1.2) ...

A: A Maclaurin series is a Taylor series expansion of a function about 0.

Q: Find the family of curves orthogonal to the family 4y2 + 3x2 = k when x > 0 and y > 0. (A) 3y2 – 4x2...

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Q: 1. Let f (x) = x (cos(2a)+ sin(3x)). a. Find the average value of f (x) for 0 <x < T. Show your work...

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Q: Show that the function f(x) = |x - 2| is not differentiable at 2. We have if x 2 2 f(x) = |x - 21 = ...

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Q: x3 - 3x?y = C

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Q: Find the surface area of revolution about the x-axis of y = 2x +7 over the interval 1 < x < 4 O O us...

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Q: 4. It f(x,)= (x?+Zy^)+Z and ū= a.) Find the derivative of t in the direction Of ū at 13,2) -

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Q: Sketch the graph of a function that satisfies all of the given conditions. (a) f'(x) < 0 and f"(x) <...

A: Given problem:- To select graph  with conditions  f'(x) &lt; 0 and F"(x) &lt; 0 for all x f''(x)&gt...

Q: b) | sin “ xdx d) [ /tan x sec“ ,

A: Given problem:- b.   ∫ sin4(x) dx  d.   ∫√tanx sec4(x) dx

Q: A function f(x) and interval [a, b] are given. Check if Rolle's Theorem can be applied to f on [a, b...

A: To test whether Rolle's theorem is applicable or not.

Q: Part C lim, -3 h (x), if h (x) : Vx² + 6x + 9 x + 3

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Q: 2. Find a particular solution to each of these ODES by using the method of variation of parameters: ...

A: Note: as per our guidelines we have to solve 1st question. So please repost other questiin . sorry f...

Q: Determine whether the seovence converges er diverges.Rconverges, nd the me the sequence diverges, en...

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Q: Use the Laplace transform to solve the given initial-value problem. y" + y = V2 sin(/2t), y(0) = 14,...

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Q: 1. Given the equation y = (elnx) What is y? Inx 2elnx 2x (2lnx)/x None of the choices

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Q: 7. Which of the following functions is defined implicitly? 2х-1 b. y = c. (x - 1)2 + y2 = 4 d. y = c...

A: I am attaching image so that you understand each and every step.

Q: 2. Find a particular solution to each of these ODES by using the method of variation of parameters: ...

A: Let's find. 

Q: Evaluate the definite integral. dx

A: As per guidelines we can solve we can solve one question at a time so if you need more answers kindl...

Q: 4. Determination of Integrating Factors: Solve the equation y (4x + y) dx – 2 (x² – y) dy = 0 O 2r? ...

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Q: Which of the following is a solution of the differential equation xy' +y = 4x? y = 14x-1 - 2x %3D Oy...

A: We can solve this problem by applying the concept of linear differential equation.

Q: We now use the substitution u = x° + 8x and du = (9x8 + 8) dx to convert the entire integral into on...

A: Given the integral  ∫9x8 + 8x9 + 8x2 dx We now use the substitution  u=x9+8x and du=9x8+8 dx.

Q: Consider the function below. x2 f(x) : x2 - 25

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Q: bounded

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Q: Which one of the following is the vector equation of a plane containing the points: (4, 0, 3), (1, –...

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Q: Find the arclength of y = 4x°/2 on 2 < x < 4 %3D

A: Given :  y=4x32     on  2≤x≤4   To Find : Arc length of y=4x32

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: b Let y = x²sin(y) + yeXy, where x = s + 2t and y = st dv when s (ii) dt = o and t =1 is [d]

A: Find your answer below 

Q: Solve. 1. Find the area of the region between the function f(x) = 4x + 1 and the x– axis on the inte...

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple questi...

Q: За + 5; у 3 3а — 1; Let R be the region bounded by the straight lines y y = 10 – 4x; y = 8 – 4x. Con...

A: We have to sketch Region R and Reigon G

Q: Let a = ci + j and b = 3i + 3j. Find c so that a and b are orthogonal. %3D C = i

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Q: Sketch the region cnclosed by the given curves

A: y=x-2y=x-2

Q: 5. Graph the linear inequality on the graph. x<-4

A: Given data÷

Q: WWhe cycloid SO of arch of the cycloidis genorated as t varies from

A: To find the area.under the arch

Q: Find the point on the line y = 2x + 5 closest to the point (6, 1). The function giving the distance ...

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Q: 3x dx

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Q: Find a polar equation in the form r = f(8) of the hyperbola with eccentricity e = 4 such that one of...

A: One of the foci            =0,0    poleeccentricity                   = 4vertex nearest to pole = 2,...

Q: Find an equation of the plane with the given characteristics. The plane passes through the points (5...

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Q: Determine y' by using the formula for the derivative of arcsine function. a. 1 b. sinx c. COSX d...

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Q: Let f (x, y) = 3x – 2²y. x = -t, y = s + 2t dz dz Use an appropriate chain rule (involving , , etc.)...

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Q: (s + 1)3 s6

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