For the following problems, find the general solution. 129. y”+5y+y=x+e

Q: Find the solution of the following Differential Equation using Inverse Leplace: ý = 4y+3y=0 ẤY >…

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Q: Find the volume of the solid generated by the region bounded by y - x² = -3,x+y = 3 about y = -5.

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Q: The lateral radiation of heat from a bar of length L insulted at both ends can be modelled with the…

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Q: Directions: Identify the percentile rank of the following grades from the data elow. Grade of 93 1.…

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Q: 5. D = 2 5 3 4 00 3 0 24 2 1 Evaluate D.

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Q: The fuel efficiency, E, in miles per gallon of an SUV depends on its weight in pounds, w:…

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Q: b) A drawer contains 14 white and 14 black socks, all unmatched. Ali is in a rush to school and has…

A: The pigeonhole principle is the base of counting along with the fundamental theorem of counting.…

Q: Determine if the function f: R → R defined as f(x) = -{7 x² is analytical og if yes, find its Taylor…

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Q: 2. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} Y = {y|y= 2x, x € Z} Enumerate: a.) X - Z b.) Xu (YNZ) X…

A: Since  you have posted a multi subparts question according to guildlines I will solve first…

Q: Apply the method of Lagrange multipliers to the function f(x, y) = (x² + 1) y subject to the…

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Q: Let {fn} be a sequence of complex-valued continuous functions on CC. If {fn} converges uniformly to…

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Q: Find the moment with respect to the y-axis of the area bounded by the parabola x = =9y-y2 and y = 2

A: Follow the steps.

Q: denotes the set of subsp

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Q: Find the volume of the solid generated by the region bounded by y - x² = -3, x+y = 3 about y = -5.

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Q: - 1)(z - 2)] im |z| < 1 |2|< 2 시지

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Q: rector spaces over a field I and t: V--V' be a linear transformation and to be the dual map of t,…

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Q: Find the Laurent expansion of g(z) = (2-1)/[23+322 +22] in i) 0 < 2 <1 ii) 3<|2| iii) 0<z +2 <1

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Q: 5. D = 2000 2 1 -5 Evaluate D.

A: 2  0  0   0-5  3  0   0   3  2  4   0   4  2  1-5  =  (2)(-1)1+1 3  0   02  4   02  1-5…

Q: Allow A be the point with Cartesian coordinates (6, 9), and D be the plane curve with parametric…

A: The slope of the tangent to the curve: y=fx at x=a is f'a. The point-slope form of a line that…

Q: Consider the points K(−1, 0, 7) and M(1, −2, 5), the vector MN = , and the line L with symmetric…

A: The dot product of two vectors includes the cosine of the angle between them. When the two vectors…

Q: answer letter b

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Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x² +…

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Q: 5. Consider the following function: f(t)= Find the Laplace transform of this function. Lis odd -1 is…

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Q: what is the unit of the final answer?

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Q: Find the moment with respect to the y-axis of the area bounded by the parabola x = 9y - y² and y =…

A: Moment of a region R about y-axis  My=∫∫R x dA

Q: Set-up the integral which yields the ar

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Q: 3. Let A and B be sets in the universe U.Prove the following statements: (a) A = A. (b) AB if and…

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Q: Find the orthogonal matrix and upper triangular matrix in matrix A using QR method.

A: Solution

Q: 5. Use Cartesian coordinates to evaluate Jff ² av where D is the tetrahedron in the first octant…

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Q: 36. Sin(xy) + cos(yz) = 1. Compute z and az at P = (2, п/12,4). дх ду

A: Let us consider the given function z=f(x,y) The partial derivative of the function is obtained as…

Q: (g) The characteristics of tzr + y = 0 are given by: dy (A) = -1 and dz dy da <=0 (C) = 0 and dy dz…

A: Solution:- option (c) is correct

Q: Mrs. Cruz asked her 30 students who among their mother, father, or sibling will attend the quarterly…

A: Let us consider A , B, C be three sets then  Some Properties of the set theory n(only…

Q: 5. z = yex+x Iny xey-y lnx

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Q: Provide a hand-drawn sketch of S using the traces obtained in (1). Label all important points found…

A: As per the question we are given a 3d surface S defined as : 4y2 + 4z2 - x2 - 16 = 0 And we have to…

Q: b) How many non-negative integer solutions are there in the following's expressions? -3 < x < 3 or…

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Q: 2 2 3√2 2. Consider the polar curves C₁ : r = 4 + · cos 0 and C₂:r = 2 − cos as shown in the figure…

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Q: Consider S as a quadric with equation 4x² − (y − 3)² + 4z² = 4 1. Find an equation of the trace of S…

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Q: 1. Determine the angle between v and the vector w = 2. Solve for an equation of the plane which is…

A: As per the company rule, we are supposed to solve the first three subparts of a multi-parts problem.…

Q: V be a finite dimensional vector spac field F, then there is a natural isom "onto V**. V**. |

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Q: (k) The solution of the following problem for the heat equation with nonhomge- neous boundary…

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Q: Solve for the determinants of the items using a combination of row operations and cofactor method.…

A: We need to determine , determinant of given matrix ,  B = 3-69-27-2015 Here , det(B) = 3-69-27-2015…

Q: At 4:00pm, a thermometer reading of 28 deg C is taken outside where the ambient temperature is -11…

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Q: Determine the solution to the given ODE: y = √1 - y² over the interval from x=0 to 0.5 using a step…

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Q: The marginal cost of manufacturing a certain product is 13 + 0.036x. If the cost of producing 250…

A: We have to find the cost of producing 400 units. The given initial value problem is C'=13+0.036x…

Q: d) y'= 4y-3x 2x-y

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Q: Consider the surface S given by 22² +2y² = a + 1 = 0. (a) Find the equations of the traces of S on…

A: A quadric surface is a graph of the function of two variables x and y in the three dimensional space…

Q: Advanced Math b) The curve y= y = x³ + px² - 12x has a stationary point when X=-4 5 i) Show the…

A: Follow the steps.

Q: Problem 25. Find the Laurent expansion of f(2)= 1/[2(2-1)(z-2)] in i) 0< < 1 ii) 1<2<2 iii) 2 < |z|

A: Since  you have posted a multiple  question according to guildlines I will solve first   question…

Q: Apply the techniques of Example 7.1.5 to the evaluation of the improper integral 8 dx 1 = (a) Let…

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Q: The marginal cost of manufacturing a certain product is dC/dX = 17 + 0.005x .  If the cost of…

A: Solution