(x^(2)+y)dx−xdy=0

Q: Question Using the side of a building as one side and fencing for the other three sides, a rectangul...

A: Please refer the attached image for complete solution.

Q: Duestion 3 of 18 Find all critical points of the function f(x) = x-" - x-12 (Use symbolic notation a...

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Q: For the given function, find all values of c over the interval (, 20) stipulated by Rolle's Theorem ...

A: Here, the given equation is: f(x)=x+5x-1 Here, the function is continuous on 14,20 because the funct...

Q: (iv) (- 3) 2 (v) 2 cos t (vi) e( +2e1)2

A: Since you have posted multiple subparts question in this question so I have solved first three subpa...

Q: x- |x| Show that f, given by f ( x) (x+ 0) is continuous on R-{0}

A: To show the given function is continuous on all real numbers except zero, we use  the definition of ...

Q: Given |F,| = 85 N and |F2| = 125 N and they are acting at an angle of 140° to each other... a) Find ...

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Q: Find the critical points of the following function. Use the Second Derivative Test to determine (f p...

A: We have to find the local maxima, local minima and saddle points.

Q: Use synthetic division and the Remainder Theorem to 4) f(x) =x4 – 4x3 + 6x2 2 X + 9; f(2) -4 6-2 + +...

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Q: find the derivative using increment method show complete solution thanks, i'll like back y=x^(3) ...

A: To find the derivative of y=x3-x-2 using the increment method. Note that the derivative using inclem...

Q: x(х — 2) Given that f'(x) = (x – 4) is the derivative for f(x), find the following: %3D a. The value...

A: Given:- f'(x) = x(x-2)/(x-4)2 To find:- a. The values of x, where there may be horizontal tangent li...

Q: The formula 00 1 2 3"z", 1- 3x n=0 is valid for -3 < x < 3 1 1 3 3 -1 < x < 1 -00 < x < ∞

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Q: Find the first and second derivatives of f(x). f(x) = 3x – 4x + 2 f'(x) = 2 9x – 4 f''(x)

A: Recall: dxndx =nxn-1.

Q: 7+5x - *א 2' 9. lim x-2V x2+5

A: NOTE: Refresh your page if you can't see any equations. . execute the limit by taking x=2

Q: Question Given f(x) -2x +x + 5x + 5, find the critical numbers. Select the correct answer below: 1-/...

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Q: Center at (2 , −1), fixed sum is 8, focus at (2, 0) Find the standard equation of the ellipse that ...

A: I have stated the used formula in the solution.

Q: Find the distance between the following skew lines  x/2 =y−46, z=0 x-1/2 = y/2 =z+3

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Q: ind the absolute maximum of h(x) = x² – x 2 over [-3, 6]. Enter only the y-coordinate of the maximum...

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Q: 5. The position of a particle is given by the equation: s(t) = t3 – 12t2 + 54t – 8, where t is measu...

A: Note: - Since you have posted a question with multiple sub-parts, we will solve the first three sub-...

Q: transform to polar coordinates and calculate

A: We have to convert the following  integral to the polar co-ordinate: ∫01∫1-1-x21+1+x2xy dydx   The r...

Q: (b) 1 (0.99)2

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Q: Find an equation of the surface consisting of all points P(x, y, z) that are twice as far from the p...

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Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -2, 4) Radius:...

A: Equation of sphere

Q: Use Gauss-Jordan row reduction to solve the given system of equations. (If there is no solution, ent...

A: The given equations are: −x + 2y − z = 0 −x − y + 2z = 0 2x   − z = 8 To find its solution (x, y, z)...

Q: Need help please.

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Q: Find the general solution of the differential equation y" – 4(sec x + tan x)y' – 4(y – 2) = 0. about...

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Q: dz Let z = 5xy- 5x y where x = 3t, y = 9(1 - ). Find by using the chain rule. Express your answer in...

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Q: Suppose that z is a differentiable function of x and y with dz (8,7) = 80 and dx dz (8, 7) = 2. ду I...

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Q: Test the symmetry of the Polar Equation ( Table of Values and Graph ) r= 4 cos(3θ)

A: The given polar equation is r= 4 cos(3θ)

Q: One endpoint of a line segment has coordinates represented by (x + 2, y). The midpoint of the line s...

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Q: Higher-order derivatives Find y(100) of y = 2x100- 3cosx + 4ex

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Q: A brief description of the real world situation including equation accompanied by an illustration of...

A: The farmer has P feet of fence and wishes to construct three adjacent rectangular corrals, each with...

Q: Graph the function by applying an appropriate reflection. k (x)=(-x)³ 6+ 4- 2- -8 -6 -4 -2 6. 4 -2- ...

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Q: Find the first step in the following "Proof" that is incorrect, and explain in a short paragraph why...

A: We are asked and said that the griven proof contains incorrect proof to which we need to find in ste...

Q: The cost of producing x units of stuffed alligator toys is C(x) = 0.001x? + 7x + 5000. Find the marg...

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Q: Question What is the absolute minimum value of q(x) 2a 1 over -2, 5? 222 Provide your answer below:

A: It is maxima and minima problem. 

Q: The productivity of a certain country with the utilization of x units of labor and y units of capita...

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Q: ||F(t) × r"(t)|| Use the formula k(t) to find k(t). r(t) = 2 cos(4t)i+2 sin(4t)j+ 9tk K(t) = %|

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Q: 4. sin Tx - y =0 4 5. --y = -1

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Q: 10 Describe a first step in integrating dx. x² -4x-9

A: This problem is related to the integration. By looking into this problem we can see first of all we ...

Q: 4. Use transformations of the graph of e* to graph the functionf(x) = e¯* – 3 and state the domain, ...

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Q: dz and du dz Use an appropriate form of the chain rule to find dv 1 z = e3x*y; x = Vuv, y=- Enter yo...

A: This question is based on Partial diffrentiation.

Q: transform to polar coordinates and calculate

A: We have to convert the following  integral to the polar co-ordinate: ∫01∫1-1-x21+1+x2xy dydx The dom...

Q: What is the midpoint of the line segment? Drag the coordinates to the boxes to correctly match the e...

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Q: 6. What is the average rate of change of the function f(x) = cos x over the interval ↑ <x< 2n? A. 27...

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Q: Find the point P such that = r, where A(4,3, -2), B(-5,0,4) and r = AP AB

A: Internal division with section formula: - If P = (x,y) lies on a line segment AB (between points A a...

Q: dy Assuming 3x +y-4xy 0 defines y as a differentiable function of x, use the theorem Fx to find Fy d...

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Q: Use Gauss-Jordan row reduction to solve the given system of equations. (If there is no solution, ent...

A: Given the system of equation 

Q: The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing (in mm3/...

A: The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing when the...

Q: The distance between two points is 6/5. One endpoint is (4, –3). It is known that the y-coordinate o...

A: Let the given points be A(4, -3) and B(x, 7).  Distance between them is given AB=65

Q: Example 2. In a room, the temperature is given by T = f(x, t) degrees Celsius, where r is the distan...

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