-31 2: -6 -2 Find the eigenvalues and eigenvectors ofA = 特後值 -2

Q: AB1: Find g(2), g'(2), and g"(2).

A: Given that gx=∫-2x2ftdt Now we have to find g2, g'2 and g''2 In the interval -2,2, fx=4-x2In the int...

Q: arc length parameter along the curve from the point where t=0 by evaluating the integrals = dt. The ...

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Q: Find y as a function of t if 64y" + 144y' + 106y = 0, y(0) = 8, y' (0) = 3. y =

A: Given DE is  64y''+144y'+106y=0.....(1) Initial conditions are  y(0)=8,y'(0)=3......(2)

Q: Solve the system of linear equation (SLE) using Gauss-Jordan Elimination. Indicate and label the Gau...

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Q: Given that X is a normal variable whose distribution has a mean of 10 and a standard deviation of 2....

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Q: Express the function in unit step and find the Laplace: (-10 0 n

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Q: A land bought by the Dela Cruz sisters were in the form of a triangle with sides 392 m long and 513 ...

A: Given, a land bought by the Dela Cruz sisters were in the form of a triangle with sides 392 m long a...

Q: • TT /2 2 cos x dx 1+ (sin x)² п/2 dx V-x² + 4x – 3 2

A: d) ∫-π2π2  2cosx dx1+ (sinx)2Let sinx = t∫-11 2dt1+t2 = 2  [tan-1t]-11 = 2 [ π4+ π4]= π

Q: Apply the Inverse Matrix method (AX=B method) to find the unique solution of below mentioned system ...

A: according to our guidelines we can answer only three subparts, or first question and rest can be rep...

Q: anpaigi nas aiso sta lie above disk x+y°£0 single in fegral ondsuve the intgral foo. a bove (he disk...

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Q: 4. According to the Red Cross Blood Organization, the blood type most requested by hospitals is type...

A: Given, 45% of the North American population has blood type O  

Q: Consider the inner product space R with the usual dot product. Applying the Gram- Schmidt algorithm ...

A: Here given vectors as v1=11, v2=30  

Q: dy Find by implicit differentiation. dx (1+e*)=4+ In (x +y). y -x Select the correct choice below an...

A: We need to use following property/ value of differentiation  dxndx=nxn-1du+vdx=dudx+dvdxdexdx=ex

Q: Proofs must be clear, coherent, concise, and complete, and examples should be verified to satisfy re...

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Q: S(6–5w)e'w-5w* +(20w– 24)sec² (12w-5w° )dw

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Q: 3n +1 Consider the series . Evaluate the the following limit. If it is infinite, type "infinity" or ...

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Q: Ex. 3. the horizontal plane through the point of projection. If a and B are the possible angles of p...

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Q: Apply Gauss-Seidal method to sulve the fotlowing Lineur equativns 5 X-2 X z =18 -2XI + lo X2 -2X3=-6...

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Q: NO. 5 Jenny Company produces two types of pants: long pants and short pants. The cost of making a pa...

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Q: y'(t) = Cos t + y(t) cos(t – t) dt ,y(0) = 1 -

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Q: 1 -2 3 Let A = -6 12 Choose the true statement. 2 6 -8] Select one or more: O The rank of A is equal...

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Q: Matching Type: Match Column A with the correct answer on Column B. Write the letter of the correct a...

A: Given : To match the given statement with its   

Q: Show that n := e2™i/n is a primitive nth root of unity in C. Verify that (S3 - )? = -3 in C. Verify ...

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Q: let f:(a,b)→R be de fined by X€QN(a,b) x€Q' n(a,b) -2 f(x)=' 3

A: This is a problem of Differential Calculus.

Q: u:(x, t) = Uzz(x, t) u(0, t) = u(1,t) = 0 u(x,0) = f(x)

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Q: 1. Evaluate the following integrals: e) dx |-x² + 4x – 3 f) . dx J (x – 2)Vx² – 4x + 3 -

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Q: Solve the following initial value problem. y" + 16y = sin 2x; y(0)= 1, y'(0) = 0 %3D The solution is...

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Q: 2. a. Prove using the formal definition of a limit that the following sequence converges: -n3 + 2n –...

A: This is a problem of sequence.

Q: Find an equation of the plane.

A: Given, the plane that passes through the line point (1, -1, 1) and contains the line with symmetric ...

Q: Determine the limit superior and limit inferior of the following sequences how to find the M1,M2,M3...

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Q: Let f (z) = e10z Part (a) Find the integral of the function f (z)on the circle of radius 2 centered ...

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Q: Let (Ti+1 – x)³ P:(x) = a;- hị (r – x;)3 + ai+1 + b:(xi+1 – x) + c;(x – x;). hị for i 1,...,n – 1. S...

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Q: Use the position function s()--16 vt+ for free-falling objects. A bail is thrown straight down from ...

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Q: The conjugate harmonic function v(x, y) of u(x, y) = In (x2 + y2) is *() + 1. 2tan -1 2tan-1 + C () ...

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Q: Suppose En=1 an and E=1 bn are series converges absolutely. Prove or give counterexamples for the fo...

A: Solution:-

Q: The differential equation x- ди ди 2u satisfying the initial condition y = xg(x). +y %3D ty u = f(x)...

A: 2)     x∂u∂x+y ∂u∂y = 2uΓ:[ x, xg(x), f(x) ]1)[x,x,2x]Pdx0dt = Qd y0dt = Rd z0dt⇒P =x,  Q = x,  R = ...

Q: 1. Consi der the power series (2x+3)" Σ V2n2 n=1 1 (a) Determine the interval and radius of converge...

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Q: Find lethere Le iS arde anc

A: Introduction: The line integral of a scalar valued function is a definite integration in which the i...

Q: Find the singular value decompostion of the matrix. 1 1 -1 -1 1

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Q: 2. Compute the line integral of E from B(0,0,0) to A(2,1,3) if E = -4xyax - (4y + 2x2)a, + 8zaz. Use...

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Q: dy + (cos x)y = sin(x²) dx 11. sin x dy – 4y = x*e* 12. x dx

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Q: 4. Find the cofactor matrix for the matrix. 5 9 1 8 5 6 4

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Q: 4. a) Find the value of x where the function f(x) = (x- 4)3 is not differentiable. 2x-1 has a %3D b)...

A: (a) It is given that ;                          fx = x-423 , We have to find those points where f(x)...

Q: i) Obtain the complete and singular integrals of : = px+qy+ pq . -3t ii) Find the Laplace transform ...

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Q: 1. -.) Determine the series solution to u' – tu = -t², up to rª.

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Q: Consider the inner product space R" with the usual dot product. Which of the following sets is NOT o...

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Q: Bisection root of fal= XeX_! methed to find use the

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Q: 1. Vocabulary Describe the relative locations of the rational numbers -(-) and on a number line. Les...

A: Here,      -(-a/b) = a/b   [negation of negation is positive]

Q: Salve the fullowing equations using bisectrion thed me X siAx+CusX= fors] Xost

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Q: Use Euler's method to calculate the first three approximations to the given initial value problem fo...

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