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Q: S 3xe*dx

A: Given problem :- ∫ 3xex/2 dx

Q: What is the approximate value of x in the figure below?* 723 58 427 3244 ft. 3169 ft. 820 ft. O 3322…

A: Find your answer below

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A: For the solution follow the next step.

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A: 4.

Q: Solve the following items and show your solutions. a.) Find the general and particular solution of…

A: x dydx+2 y =4x2dydx+2x y =4xComparing with Bernouli's equation;y'+P(x) y = Q(x)P(x)=2x, Q(x)=4x

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A: Given problem:- Solve bernoulli equation (dy)/(dx) - y = xy2

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

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Q: Which of the following expressions represents the height of a right circular cone having a slant…

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Q: Determine whether P = and Q = are orthogonal vectors. If W = and V =, compute V x W. If W = and V =,…

A: Explanation of the answer is as follows

Q: 3- use Cramer's rule to solve the system 8x1-4x2+3x3=0 X1+5x2-X3=0 -2x1+6x2+X3=0

A: Here we have to use Cramer's rule to solve the system.  8x1-4x2+3x3=0x1+5x2-x3=0-2x1+6x2+x3=0

Q: Given y=[2 +(x2+1)4 ]³; Find y' O y' = 64 (x²+1)° O (E) None of the choices O y'=24x (x²+1)³ [ 2…

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Q: integral. Give your answers as fractions 3 (i) dx V1- x2

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Q: Consider the following. u = -9i – 2j - 4k, v = 4j + 4k (a) Find the projection of u onto v. (b) Find…

A: Explanation of the answer is as follows

Q: 7y" - 18y %D

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Q: b. S sech x = 2 Arctan(e*) + c

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Q: Sv amate the indefinite integral Ancwer in simplest furm (Hactored porm) 1682-9

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Q: 3. Find the centroid of the region bounded by the parabola y? = 4x, the y-axis, and the line y = 4.

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A: Given query is to find the product of the numbers.

Q: The Maclaurin series for f(x) = x²e=* is E-o(-1)" xn+2 п! False True

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

Q: Direction: ate the following arbitrary constants to obtain the DE. а 3. y = () + bx

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Q: If f (x) 2e²x Then compute f" (0) + 2f' (0) + 2ƒ (0)

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Q: Solve for the following application of first order differential equations. Show your solutions. 3. A…

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Q: Q5: (a) Let 1 A -1 0 2 and B = -1 2x2 3 2x2 Evaluate A×B (b) Find the inverse of: 1 0 0 0 A = 2 1 0…

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Q: Q1. Evaluate the integrals below using the integral rules derived in Lectures 13-15. For each…

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A: Given data÷

Q: how about the equation of the normal line?

A: Apologies for the inconvenience. Here is the solution for the normal line:   From the original…

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Q: Evaluate by separation of variables. y = xy? O x(y + C) + 2 = 0 O y(a² + C) + 2 = 0 O (2² + C) + 2 =…

A: Given: y'=xy2

Q: Direction: Eliminate the following arbitrary constants to obtain the DE. 4. у %3D a sin(2x + 3)

A: To form the differential equation for the given function.

Q: ind general solution by separating the v y3 = (y* + 1) cos x %3D dx.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: If f(x, y) = xe2y + 6xy, then is dydx given by: e2y + 6 등 2e2y + 6 2 O None of these O 2xe2y + 6…

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Q: 5. (xe*dx (1+x)2

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Q: 2z2 + 7z +4 Let f(z) = 1³ + 2x² + 2z [1] (a) Write the general form of the partial fraction…

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Q: An approximation using four terms of a series for the number x3 cos (22) dx

A: Given:      ∫01x3cosx2dx MacLaurin series is given by            fx=∑k=0∞fkak!xk In our case…

Q: 2. y = loga(x³ + 2x – 2) 3. y = In³ (x + sin x) %3D 4. y = tan¬1(3x)

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Q: Evaluate the integral below by interpreting it in terms of areas. In other words, draw a picture of…

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Q: Find the area bounded by the parabola x² = - (y - 1) and the first quadrant.

A: Intersection points:y=0x2=1;x=1 (First quadrant)(1, 0)x=0:1-y=0y=1(0, 1)

Q: 4. Find the equation of the tangent to h(x) = x´sin(2x) at x = 1 [no unit circle needed]

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Q: (2²ª + 2w)* 3 Find dy/dx, given the following: y = V2x–4 (23+2x)"| V(22–4) 17 –360² +102 –24 (2x–4)ª…

A: Given: y=x3+2x32x-4   As we know that; The Power law; ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x The…

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Q: ind cylindrical coordinates of the point with rectangular coordinates (3, –3, –7).

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Q: Solve the given initial-value problems. te dx +(y-1)dy=0; y(0) 0 4.43.

A: identify the differential equation and solve it.