ind a vector orthogonal to the plane containing points (3, 1, 1), (4, 0, 2), (6, 3, 1).

Q: its principal argument. 12. Suppose the complex number z is situated along the real x axis, then the...

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Q: 8) f(x)= T+x²

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Q: Which of the following is a solution of the differential equation xy' + y = 4x? y = 2x - 7x-1 Oy = 1...

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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....

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Q: Consider the points A(3, –1,3), B(4, –3,0), C(-2, -2,0), and D(6,3, –5). - (a) Find the volume of th...

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Q: Solve for all vectors X so that × X = .

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Q: Find the area of the region that hosmside the Circle r = 3COS 6 and outside the cardioid r =1+ cos 0...

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Q: Define f(x, y) = 9a? + y². (1) Sketch the level curve of this function for z=36. Draw it on an xy-pl...

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Q: 4. dx J x Inx VInx2 -1 A C - sec-1 (In xx) + C sec-1 - In x sec-1 (In x) + C + C In x. sec-1 O A В E...

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 2j as a...

A: Given problem:- Use vectors to find the lengths of the diagonals of the parallelogram that has i+ j ...

Q: 4. DETAILS LARAPCALC10 3.2.004.EP. Consider the following. f(x) = -4x + 3x + 2 Find f'(x). f'(x) -8x...

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Q: Suppose f is a function such that f'(7) is undefined. Which of the following statements is always tr...

A: Given that: f is a function such that f'7 is undefined. We need to comment upon the continuity of th...

Q: 10. Homogeneous Equations: Solve the differential equation: xdy – ydx – x? –- y²dx = 0 O arccos() = ...

A: dydx=y+x2-y2xdydx=yx+1-(yx)2y=vxdydx=v+xdvdxv+xdvdx=v+1-v2x dvdx=1-v2  ...(1)

Q: Graph the following of linear functions based on the method indicated. x + 3y = 9 (table of values)

A: Given problem:- Graph the following of linear functions based on the method indicated. x + 3y = 9 (t...

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: dx

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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: Solve the following: a) [4/(x+ 1)] – [2 / (2x – 1) b) (1/y)+(1/2y)+ (2/3y) c) (2a²b³/3z²)÷ (ab²/2z) ...

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Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) F(t) = 4t3 %3D L{f(t)} %3...

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Q: Evaluate each of the following: 1. ſ cot 2v dv

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: e3x dx 1+ e2x A tan-lex + C C e*-tan-le* + C e* + tan-le* + C D-tan-'ex +C A E None of the Above B

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

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Q: Find the indefinite integral. (Remember the constant of integration.) (0.9t2 + 0.08t + 9) dt

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Q: Use the Laplace transform to solve the given initial-value problem. y" + 4y' + 3y = 0, y(0) = 1, y'(...

A: We have to solve above Laplace transformation 

Q: Find the derivative of the function. f(x) = 7x2 In(9x)

A: To find derivative of given function.

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

A: The objective is to write the required differential equation.

Q: Find the sum of the following convergent series. (a) tan-(n) – tan-'(n + 1) n=1 (b) 2" + 3" 4" n=1

A: We have to find sum of convergent series. 

Q: Use differentials and the graph of f to approximate the following. (Round your answers to three deci...

A: From the given graph: f(2)=1,f'(2)=0-24-0=-24=-12

Q: 8. DETAILS LARAPCALC10 3.3.062.EP. Consider the following function, where R is the revenue (in thous...

A: Use diminishing concept

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: If f'(x) = x(x – 1)(x + 3), then f(x) has a local minimum at: Select one: O a. ? = 0 only O b. x = -...

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Q: Find the exact value of the cos 75° using a half-angle formula. cos 75° = 2+V3 :: 2-V3 :: 2-V3 VV3-2...

A: Let's find. 

Q: y" – 6y + 10 y = 50 x + 3e - +20

A: We are asked to solve the differential equations.

Q: 3. Graph the system of inequalities. y 2x-3 y>x+1

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Q: Choose a correct statement concerning the function f(x, y) = 3x² – e2y. O There are local minima but...

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Q: Consider the following. u = 3i + 2j, v = 6i + 9j (a) Find the projection of u onto v. (b) Find the v...

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Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer alge...

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Q: 3. c ² +7z+10 dz, C: |F|=1

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Q: Fill in the missing numbers in the table below. Then use the table to fill in the apparent value of ...

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Q: How can i solve this excersice? Hind: It could be, using Taylor. Vat (7a(=)) ×. 1 f(2) nh

A: This is a problem of taylor series calculation. Based on the general formula we will solve the quest...

Q: Coach Kent brings 3 quarts of sports drink to soccer practice. He gives the same amount of the drink...

A: Given that the coach brings a total of 3 quarts of the sports drink.

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

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Q: Homogeneous Equations: Solve the differential equation +y? y' %3D xy O y? = x² In cx? x²y? = In cx2

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Q: 2. For the following complex numbers; peform the indicated operations. Expressresultsin rectangular ...

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

Q: 2. Find the general solution of the differential equation: dy ip 5 + 6y = e ,3x - dx? d.x

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Q: 4. Find the volume created by the rotation round the x-axis of the part of the curve y² = 3x %3D bet...

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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: Use differentials and the graph of f to approximate the following. (Round your answers to two decima...

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