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Q: Q4: A- solve the differential equations: i- y"-2y'+y = e' ii- (x+1)y'+2(x+1 ! 2+1 x+1

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Q: 4 If the cost of the machine is $14000, its salvage value is $1500 and its estimated useful life is…

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Q: Show that

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: y cos x+sin y+y-0 Solve the following = 0. differntail equation dx sin x+x cos y+x 1.

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Q: ir Let i denote the square root of -1. For the two complex numbers z = 3e 3 and w = 6e' 3 find z. w.…

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Q: Find the angle between two vectors a = (3,4, 0) and b = (4,4, 2). (勞) O b. cos-l(끊) а. cos c.…

A: Given two vectors are a=(3,4,0) and b=(4,4,2).

Q: Express the circle specified by x = 2 cos(0) y =1+2 sin(0) in Cartesian coordinates and find the…

A: Solution

Q: on paper

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Q: 4.1.10. (1) Find (with proof) the smallest 3-regular simple graph having connectivity 1.

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Q: Consider the following preference profile: Applicant Preferences Hospital Preferences A1 Ha HA A As…

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Q: Question 2 [ a) {:- ): Explain why the following series (-1)" 1+ n3/2 n=1 is Alternating. b) i…

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Q: Consider the SIR model with the square root dynamics SP = A- µS – BVS, BVSI - (H+1)I, dR I - µR, dt…

A: This is a multipart question having two or more interrelated subparts (here, we have four). As per…

Q: 4. Show that the following first order differential equation dy (3a*y - 6zy + 6y – 5)e (5y – r*y")e…

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Q: Consider the figure shown below. 10 mm 8 mm b What is the length of the missing leg? b = millimeters

A: Note: Pythagorean theorem: For a right-angled triangle, we have (base)2 + (height)2 = (hypotenuse)2…

Q: Consider Lundberg's Model for Poisson process with parameter 1 and exponential claims X - f(x) = ½ e…

A: Given Lundberg's model for poison process with parameter is 1... Insurer loading is 15% Reinsurer…

Q: 2. Find the Fourier series expansion of: So. sin zr, 0<r<1 f(z) = and then use it to find the values…

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Q: (2 1 2 and vectors x = |1 and y = |1 %3D Consider the matrix A = |0 1 -1 0 -1) Let vector v be…

A: First we will find the value of AT then we will find the value of v as given and find the scalar…

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Q: (b) Let w(s,t) = u(e" cos(t), e" sin(t)), where u(x, y) is unknown. Use the chain rule to express…

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Q: Answer is incorrect it is supposed to be 3pi

A: Yes ! Correct answer is 3π Step 2 : ( 6th line from last )incorrect ∫02π32 + cos(θ)3+sinθ3dθ ≠…

Q: Consider the folowing region Rand the vector ficldF. a. Compute the two dimensional curt of the…

A: Two dimensional curl of a function Fx,y=u,v is given by Curl F=k∂v∂x-∂u∂y Green's theorem in plane:…

Q: Let A andB be two sets of. integers. A distance measure 'd is defined as d(A - B) = size(A - B),…

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Q: 4- xy- dx (xyt cot cos +y')

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Q: - Let 1 2 3 4 5 6 7 8 2 3 5 6 7 1 8 4 1 2 3 4 5 6 7 8 4 8 3 6 1 2 5 7 and be permutations on the set…

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Q: Let A be the point with coordinates (-3, -2, 3) and let B be the point with coordinates (2, 0, 0).…

A: To find the distance from point D to line l.

Q: Which of the following statement is false? Ta) The ring (Q, +, .} is an integral domain. (b) The…

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Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

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Q: Simplify the expression to the form a" where m is an integer. Find the value of m. Answer:

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Q: onsider the function f(x) = = x* + 2x. a) Find the x- and y-intercepts of the ronh of € Gf onu)

A: Note- Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Calculate the value of (1+2i)? and then use this value to find the roots of z- z+ (1 – i) = 0. (1+…

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Q: Use the Cayley-Hamilton theorem to find A1, A°, and A“ for the given matrix A. 10 -8 - 4

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Q: thod, find the general solut sin(3x)

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Q: Simple Interest on Anne's loan of $7500 if offered at 12.5% and is due in 3 months. The Maturity…

A: In this question, the concept of Simple Interest is applied, The Formula of Simple Interest…

Q: Find the definite integral

A: Given,          ∫02π5tan(x)dx and using strips of width π10

Q: Find the inverse Fourier transform of the following function: X(w) = 3 / (2+w3)

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Q: SURFACE INTEGRALS F.n dA Evaluate this integral directly or. if possible. by the divergence theorem.…

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Q: 7 -3

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Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

A: This is a problem of multi-variable calculus.

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: Solution

Q: Determine the adjacency matrix of the graph G. V3 e2 ез V1 ei V2 e4 V4 e9 es e6 V6 V7 V5 e7 G V8

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Q: 15 Set A = {1, 2, 3, 4, 5, 6, 7, 8, 9}, Set B = {1, 2, 3, 4} and Set C = {6, 7, 8, 9} then show; A…

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Q: These numbers go in here: These numbers come out: 22 28 34 40 (? Can you work out what happens in…

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Q: dz dz and ду Suppose z is a function of r and y, and tan Vy? + x2 = z"e6y. Solve for

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Q: Q3) Define series symbolically: 1 1 1 1 2 3 4 1 - 4 (n+2) 1x2 2x3 3x4 nx(n+1) 1 1 -1 - 3 9 3n п 2п…

A: Solution

Q: The voltage V(t) of a supply at regular intervals of At = 0.01 s, over a half-cycle, is found to be…

A: Given the voltage V(t) is {0,19.5,35,45,40.5,25,20.5,29,27,12.5,0} and ∆t=0.01 and…

Q: QUESTION 10 Consider the nonlinear system where a = 15 and u is the input. Determine the equilibrium…

A: So other Eigen value is 0

Q: A lumber company owns 2,100,000 trees in the Adirondacks. They intend to harvest 6% of their stock…

A: Solution