Let f(x, y) = x² + xsin(y). %3D

Q: 1. D, (x') 2. D, (5x) 3. D. (x-2x)

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Q: Determine whether the planes are parallel, orthogonal, or neither. Зх - 15у - 32%3D7 4x - 20y – 4z =...

A: Answer is given below.

Q: Determine the homogeneity of the following function x^3-xy+y^3

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Q: cos x х dx /sin x COS

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Q: 1. x3 + y3 – 2xy = 0, find y'.

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Q: f (x, y) ety + 4 cos Y. (1) Find the rate of change of this function at (3, 0) in the direction of i...

A: Find your answer below 

Q: Determine whether the following sequences are convergent or divergent. If a sequence is convergent, ...

A: For (a),     limn→∞ n-n2-nRationalize,=limn→∞ nn+n2-n=limn→∞ 11+1-1n=limn→∞ 1limn→∞ 1+1-1n=12 So, co...

Q: 3. Check if the following is a separable equation. dy dx O variable separable not variable separable

A: dydx=-xyRearrange the equation;y dy=- x dxf(y) dy = f(x) dxYes,the given equation is variable separa...

Q: 1 3. f(x) = (-x4-3)2

A: Solve for the derivative

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: wherey = x + C is a solution to this DE. What is the particular solution?

A: Let's find. 

Q: {(u)= (u² -3)*

A: Given the function is  f(u) = 12u2-32. We have to find f'(u).

Q: Obtain the solution using Integrating Factors Found by Formulas. 1. 2(2y2 + 5xy – 2y + 4)dx + x(2x +...

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions specify...

Q: Q1: Find the solution of the following Differential Equations 2. dx + 3y = e* + 2 3. dx2 x = 0 dx

A: We will find the Differential equation solution 

Q: -2 sin x where y () = 7 dx O y = 2 cos x + C O y = -2 cos x + C

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Q: Compute for the derivative of the function below for x = 1, b = 2, and c = 3. f(x) = 72 - 36 3 Answe...

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis. ||...

A: here the vector make 0 degree with x axis it means it is on x axis  so its components are (x,0,0) [[...

Q: Q3: Solve the following first order differential equations Use any method: 1. e + 2x dx + e x dy = 0...

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Q: 2. What is the slope of the normal line to the curve 4x2 - 9y2 = 1 at point (3,2) ? a. 3 b. - 8. С. ...

A: Normal at any point on the curve is a straight line that intersects the curve at that point and is p...

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: We will find the unit vector which satisfied the given condition in the following step.

Q: y = a sin (x + b) u sin (x + b) -a sin (x + b) O a cos (x + b) O -a cos (x + b)

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Q: 1. D + The region D above lies between the two red lines and the red parabola y ?. It can be describ...

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Q: 12 dx

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Q: Construct a truth table to show that (p Ag) - p is a tautology.

A: We need to construct a truth table and prove given is a tautology. 

Q: Find an equation of the plane with the given characteristics. The plane contains the y-axis and make...

A: Select a normal vector and a point then write the equation of the plane. 

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: 3.Determination of Integrating Factors : Solve the equation (x² + y² + 1) dx + x (x – 2y) dy = 0 O x...

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Q: Show that the equation below is an inexact equation. Find the integrating factor in terms of t only ...

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Q: Find the sum of the convergent series. 1 1 (a) 2n 3n n=0 (b) (sin 1)" n=1 9 27 +... 8 (c) 8+6+ + 2 1...

A: a) ∑n=0∞12n-13nb) ∑n=1∞sin 1nc) 8+6+92+278+...... Note:     Multiple parts are given, we are answer ...

Q: 1. Solve the following Exact/Inexact Differential Equation. If it is inexact, then solve it by findi...

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Q: Find the directional derivative of the function at P in the direction of v. V2 f(x, y) = x³ – y³, P(...

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two po...

A: We have to find equation of line in symmetric and parametric form.

Q: 2. Integrating factor by inspection: Solve the equation: (y – xy²) dx + (x + x?y²) dy = 0 O = In y –...

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Q: Homogeneous Equations: Solve the differential equation xdy – ydx - x2 - y?dx = 0 arccos ((-) = In cx...

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Q: tan3x 6. lim X-0 tan4x

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: Separation of Variables: Solve for y' = yx' O x4 = y In c Ox = cy

A: To solve the given differential equation by separation of variables  

Q: 3. c ² +7z+10 dz, C: |F|=1

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Q: Find the length of the arc of the curve y = In x over the interval: [1, 5. Round the answer to four ...

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Q: For each of the following rational functions, determine where the vertical asymptote(s) of the funct...

A: Given: hx=1x2-14x+45   As we know that; To calculate the vertical asymptote, equate the denominator ...

Q: The vector v and its initial point are given. Find the terminal point. v = (4, -9); Initial point: (...

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Q: Consider the points A(2, –3, 3), B(3, –5,0), C(-3, –4,0), and D(3, 3, –6). (a) Find the volume of th...

A: Given problem:-

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

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Q: Find the angle 0 between the vectors in radians and in degrees. (Round your answer for part (a) to t...

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Q: y² – 2x ry? dy = 0; y(-1)

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Q: y (4x + y) dx – 2 (x² - y) dy 22 + x + 2 ln y = C ans.

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Q: Find the following: 1.) A +B = 2.) A x B =

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Q: Solve for the derivative of the function using chain rule. 7. f(x)= sin(e3x)

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Q: 2. For the following complex numbers; perform the indicated operations. Expressresults in rectangula...

A: Given: za=-2-5izb=2.15e4.18izc=1.75cos165°+isin165°zd=0.745∠-36°ze=1+3izf=0.953cos324°+isin324°zg=2....

Q: 6. (Sections 8.8 and 8.9) Determine whether the following piecewise-defined function is a probabilit...

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Q: Find the angle 0 between the vectors in radians and in degrees. (Round your answer for part (a) to t...

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