Find paromet ric aquation of Line L where to paiut A(Xmiya) is and

Q: Two secants ABC and ADE are drawn intersecting the circle at B, C, D and E. The angle between the…

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Q: Consider the following IVP: у" +у'%3D-сos x;B у(0) %3D а, у(0) -b Find the general solution. A y (x)…

A: Solution of the differential equation

Q: Consider the following IVP: x" - 4x' + 4x = 4e2t; x(0) = -1, x'(0) = -4 Find the general solution. A…

A: Given Differential equation is x'' - 4x' + 4x = 4e2t

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

A: Let us consider the given function f(x, y)  To determine the extrema of the function subjected to…

Q: Find the Laplace Transform of ei +5 A S+4 S-4 S-4

A: Laplace transform of the function

Q: Find the area bounded by the graphs of f(x)=x+2, g(x)=3x²+5 , x=-1 and x=1.

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Q: ne eigen-spaces correspondia

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Q: 86s - 78 Find the Inverse Laplace Transform of T+3)(s-4)(5s– 1) 4r A - 3e 5+2e*+e 5 B 4e -3 - e4 – e…

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Q: Let f be a continuous function on [a, b] such that f(r)a" dx = 0 for every n > 0. Prove that f = 0…

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Q: Determine the area of a spherical triangle ABC if A = 120", B = 85° and C = 76', if it has a radius…

A: We have to find the area of the given spherical triangle.

Q: Verify Stoke's theorem for the vector field F = (2x - y) I– yz"J - y z K over the upper half surface…

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Q: Consider the following IVP: y"- y = 4cos t; y(0) = 0, y'(0) = 1 Find the general solution. A y(1) =…

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Q: Find the area bounded by the curves f(x)=x+8 and g(x)=x²-x.

A: The area between the curves fx and gx on the interval a,b is given by ∫fx-gxdx. Setting fx and gx,…

Q: Find the area bounded by the graphs of f(x)=x+2 , g(x)=3x²+5 , x=-1 and x=1.

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Q: 4. Find the approximate area under the curve f(x) = x³ – 3x² + 7 on the interval [0.97,3.4]. Use…

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Q: Find the area and circumference of the circle represented by the polar equation r = 6 cos 0 using…

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Q: (4) + 4y + 6у + 4у +у%3D0|

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Q: Question 3: A firm's production function is given by Q = L?VK + 2LK² with K = 16 and L = 10. %3D a)…

A: production function of a firm is defined as  Q=L2K+2LK2 with K=16 , L=10 (a) find the value of the…

Q: One morning, Christine measured the tempe outside every hour. She determined that the equation T =…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Match the graphs on the left with the correct equations on the right.

A: The value of sine function  and cosine function is given as x 0 π2 π 3π2 2π y=sinx 0 1 0 -1 0…

Q: S(V + xp ( + z^) 1 Determine the definite integral of 4 dx 3(V ),

A: Given integral is ∫49x + 13xdx

Q: nown belOw: [5 31 T -41 by L-3 -2] [ 3] А. 1-11 6| В. |11 c. |-11 6| D. |-11 -6

A: Given matrices are 53-3-2   and  -43

Q: Find LT of (i) e-*(2 cos 5t – 3 sin 5t) (ii) e²ª cos² t (iii) e“ sin 2t cos t ,4t

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Q: Question 22 6s – 5 Find the Inverse Laplace Transform of F (s) = s2+7 5 A f (1) = 6cos(/7t ) -…

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Q: Let ƒ : R → R be defined by f(x) = 1 – 5x. Is f a linear transformation? a. f(x + y) = f(x) + f(y) +…

A: Substitute x+y for x in the equation fx=1-5x and simplify to calculate the value of fx+y.…

Q: What is the Laplace transform of f(t) = te? A. s+ es B. 1/(s+1)? C. 1/(s-1)? D. s2 + es

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Q: Laplace A H(s) %3D s2 –9 s2+9 B H (s) s2-9 s2+4 3 3 C H(s) + s2-4 s2+4 6. H(s) + s2+4 s2-4 2.

A: Given function is h(t) = 3sinh(2t) + 3sin(2t)

Q: Solue paramefer methrde ezE

A: Method of Variation of perameters

Q: Find the Laplace Transform of (i) e3(2cos 5t - 3sin 5t) (ii) e2t cos? t (iii) e**sin 2t cos t

A: Some of the properties of the Laplace transform Leatf(t)=F(s-a)Lsinat=as2+a2Lcosat=ss2+a2

Q: Given the matrix below and its corresponding rref(A) and rref(A') 1 0 0 0 -2 8 -1 -3 100 0 0 0 10 0…

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Q: M [e-ax; p] = Гр) Re (p) > 0

A: It is a simple formula based prove by using laplace

Q: L = {cos (–5t)} L = {e-3t sin (5t) } 5 s2+25 (s+5)+9 s2– 25 (s+3)+25 s2+25 (s+3)–25 s2+5 (s+5)+25

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Q: Question 7 MO21. A particular brand of diet margarine was analyzed to determine the level of…

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Q: for the following product mix profit objective function, the solution is: Z= 3X1 + 5X2 subject to:…

A: The given problem is  Max z=3x1+5x2 subject to           x1≥5x2≤10x1+2x2≥10

Q: A random variable has CDF given by SA i 0, 1,2 F. 1 i= 3 if A = 0.63, then what is p3? Round your…

A: Given CDF is Fi = A,i = 0, 1, 21,i = 3

Q: s+7 nd the Inverse Laplace Transform of $2– 3s – 10 12 – 5t A 7 B 12 7 12 7 5 7

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Q: M{sin x; p}

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Q: 4n2 Tantel show whether (an )Cconverge diverge or

A: Given : The given series is :  ∑n=1∞un= ∑n=1∞4n29n4+1. To find : We have to find whether the given…

Q: 2s +3 Find the Inverse Laplace Transform of F (s) s2+4s + 13 A f(1) = e-"(cos31 – sin31) 2 (B) f(t)…

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Q: Solve the Cauchy-Euler differential equation x²y' +7xy + 25y = 6.

A: Given differential equation is x2y''+7xy'+25y=16x.....1. We have to find the general solution of the…

Q: 2: Let L be the subspace of V that contains all the real n x n lower triangular matrices. What is…

A: Given that V is the vector space and L is the subspace,which contains all real n×n lower triangular…

Q: For the maze shown below, use graph theory to determine whether it is possible to get out from the…

A: Solve Maze Using Breadth-First search (BFS) Algorithm:--- it's time to model it into a graph. A very…

Q: Find the Inverse Laplace Transform of F(s) (s+1) (s²– 1) A f(1) B 4 f(1) f (t) = 4

A: Some of the properties of Laplace…

Q: Let be S = { (x, y, z) | x2 + y2 + z2 = 1, z ≥ 0, y ≥ 0 } oriented with the normal whose second…

A: In general surface, integrals are double integrals, which involve the integration over a specific…

Q: (a) Identify the curve r = 4 sin 0 – 2 cos 0 by finding a Cartesian equation of the curve. (b) Find…

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Q: Find the area to the

A: Given, the left of z=-1.96 or to the right of z =1.96.

Q: Question 2 In this question we are considering the vector space P2, which is the collection of all…

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Q: Consider the following IVP: y"+a?y = 0; y(0) = 1, y'(0) = 0 Find the general solution.

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Q: 222 – 7z (z – 1) (z – 3) - -

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Q: The table gives the readings from a laboratory experiment 3 6. 9. 17 49 71 161 A curve of the form…

A: Given the data of label experiment data  t 2 3 5 6 9 y 7 17 49 71 161 We have to use method…