An engineer wishes to design a trapezoidal gutter. The gutter is to be made from a strip of tin by bending up the edges. The cross section has the form shown below. W

Q: H E B O D A F Find any Euler circuit on the graph above. Give your answer as a list of vertices,…

A: A graph is a said to be eulerian  if it contains a eulerian  trail. A eulerian  trail is a…

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Q: 4) Find the equation of the tangent plane to the surface r(u, v) = (u² − v²)i − (3uv)j + (4√u+v)k…

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Q: (b)Solve 9 ax Z+9 dz ду = 4

A: Given partial differential equation is 9∂z∂x2z+9∂z∂y2=4......1. Equation 1 an be written as follows…

Q: 4) Find the equation of the tangent plane to the surface r(u, v) = (u²-v²)i − (3uv)j + (4√u+v)k when…

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not…

Q: Find the domain of f(z) the analytic function, graph on the z-plane.find the Re(f'(1)). f(z) = (z² +…

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Q: Suppose the eigenvalues of a (3 × 3) matrix A are 2, -1/2, and 1/3, with corresponding eigenvectors…

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Q: Find a particular solution to the differential equation using the Method of Undetermined…

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Q: Chris and Ed decide to help each other by doing repairs on each other's houses. Chris is a carpenter…

A: Introduction: The work and payment problem is an application of unitary method. The number of…

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Q: e Fourier transform of f(t)

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Q: )- You need to show all Work Problems ( your works 1) Let F(t)=(4t — t²)i+t² j+sin(5t — 10) k a) ..…

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Q: 1. Apply the slicing method to find the volume of a pyramid with height hand base an equilateral…

A: In this question, the volume using integration is applied. Integration Integration is a method of…

Q: 2. (a) Find Fourier Series representation of the function with period 27 defined by f(t)= sin (t/2).

A: Sol (a) Fourier series of function fx on interval -L≤ x≤ L is defined as: fx=A0+∑n=1∞…

Q: <,3ے - رئی - 29

A: As stated in Question, we have answer only Question 29.

Q: Step 1 Take the direct antiderivative using the Power Rule for Integration. (x + 2)² When n-4. Ar…

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Q: Consider the parallelepiped with adjacent edges u = 3i + 8j + k v = i + j + 8k w = i + 6j + 6k Find…

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Q: A population grows according to an exponential growth model. The initial population is Po = 12 and…

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Q: Question 8 Determine whether the matrix is invertible. 95 -3 0 3 O No O Yes

A: Sol:- For Matrix to be invertible , Determinant should not be zero Find the Determinant of the…

Q: Question 29 Find an explicit description of the null space of matrix A by listing vectors that span…

A: given matrix A is  A=1-2-2-20134 we have to find the null space of matrix A.

Q: 15-56 Evaluate the integrals √x²√5 +x+dx X 45ở dx sin(1/x) dx 3x²

A: We have to find the value of integration using appropriate substitution.

Q: Evaluate (-2.5-j3)5 399.1265+j542.0054 -345.9945 + j774.9032 296.0938+j858.5625 -545.5590-j660.3301

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Q: Consider the 1" order initial value problem: y-1sts 2. y(1) Using the Euler's method, the actual…

A: The given differential equation is                            y'=y2t+1 where y1=-1ln2  To find: the…

Q: Solve the given differential equation by undetermined coefficients. y"-9y=(x²-4) sin(3x)

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Q: Present a second order differential equation. Identify the corresponding auxiliary equation.…

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Q: Determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. y (4) +…

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Q: Find M13 and C13. M13 - C13 = i 39 39 A = -90 0 8 1 0-5 -1 1 -9-2 50 2

A: Given matrix is A = -906-100-5-181-9-21502

Q: (3). Use the Gaussian elimination and four-digit rounding arithmetic to solve the following linear…

A: Given the linear system is  0.03001x1+58.81x2=59.115.310x1-6.101x2=47.00

Q: The Phillips curve describing an economy takes the form u = un – α(π – Eπ). The central bank…

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Q: ccident in a city is 7 during half a day.. he next 24 hours?

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Q: Minimize C=5x+y, subject to 3x+y>30, x+4y>10, x,y,>0 Standard minimization / dual problem a)change…

A: We first change the problem  to a maximization  problem by the technique of dual finding  method.

Q: Tom and Jerry are playing a game called 'Race to 25'. In this ga first player will say a whole…

A: Race of 25 can be taken as a race of 25 horses. The fastest among three is to be find out in this…

Q: Only 3 ships dock on a remote port. One ship docks every other 8 days, the second ship every 10…

A: We have to find out the number of days the port is empty i.e the port is free

Q: Ann borrowed $2,239 for 3 months. If the loan's annual simple discount rate was 47.5%, what was the…

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Q: 2. Let G be a group and let H be a subgroup of G. Define N(H) = { x = G | xHx™¹ = H}. Prove that…

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Q: Question #7 The graph shows the amount of a medicine m, in milligrams, remaining in a patient's body…

A: Introduction: The exponential function is widely used to model many real life scenarios. An…

Q: Graph the function. y-2-x -10 -5 10 I J J J -10 5 10 -10 -5 10 -5 -10 @X ①

A: Solution:- the graph of y=2^-x is

Q: Find the first four nonzero terms in a power series expansion about x = 0 for the solution to the…

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Q: efine xHx-1= {xhxh Hx is a subgroup of G. His cyclic, then xHx E H is cyc

A: Given: G and H be group and subgroup. xHx-1=xhx-1|h∈H

Q: Determine the values of a for which the following s value or comma-separated list of values.…

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Q: matrix product AB, if it is defined. 1],B= -1 undefined. 1 -8 4 40 -22 2].

A: We want to find the product if possible.

Q: Find a general solution to the differential equation. y"-6y' +9y=t4 e 3t The general solution is…

A: We have to find the general solution to the differential equation y''-6y'+9y=t-4e3t .

Q: cted edge that has the sr two or more edges have ck anyone.) riving at the next vertex

A: Given as,

Q: Obtain the general solution. (D4 + 4D³ +2D²-8D-8)y=0 O y=e²x(C₁+C₂x) + C3е√²x + С₁е-√²x Oy=e-²x(C₁x…

A: Given differential equation is D4+4D3+2D2-8D-8y = 0

Q: ormalisation, show that, for any triple v = [n; p; h], v = Pv₁ + av₂ + bv3 where P = n+p+ h is the…

A: We have seen that one in every of the wants that a probability assignment must satisfy is…

Q: Determine if the vector u is in the U= 1 0 3 3 O In Col A, not in Nul A O Not in Col A, in Nul A <…

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Q: Problem #1: A rank two tensor L is given as: 7 10 3 L=L=4 -1 -2 945 (a) Calculate the symmetric (S)…

A: We are given that L=71034-1-2945 (a) We have to calculate symmetric S and skew-symmetric W parts.…

Q: 3. Evaluate the following limits: z-1-i (a) limz→(1+i) (z²–2x+2, 2 z²+4 (b) limz→2i 2z²+(3—4i)z—6i

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