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Q: a u, (00) = Utt , и (0, t) — 0, и (т, t) — 0, (t>0) и (х, 0) %3D0, (0<x<n, и, (х, 0) %3 * (т—г),…

A: We need to find the solution to the threshold problem in the next wave equation by the variable…

Q: Prove Lagrange’s Identity:||u × v||2 = ||u||2 ||v||2 − (u ∙ v)2.

A: To prove Lagrange’s Identity:

Q: Show that (u×v)· w = u ·(v×w).

A: As we know that, Multiplication is an Associative Property, i.e. (a x b).c=a.(b x c) and Sometimes…

Q: tan z, find v(/6), (z – ), V(-z), and express (2z) as a 9. If v(z) function of (z).

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve…

Q: (c) Compute the distance in AU between the points (x,0) = (1.24,0) and (1.24, 7)

A: Given: The coordinate transformation, x=Rsinhχsinθcosϕ y=Rsinhχsinθsinϕ z=Rcoshχcosθ The plane…

Q: 3. Find the value(s) of h such that b is a linear combination of and a3. -()-) -() --() ај, а2, 5 aj…

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Q: ies of z and x

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Q: 1. Let u= (0, -2,3), v= (1,4, 1). Evaluate a) the projection proju(v) of v over u And b) the area of…

A: Given: Let u= (0,-2,3)   and  v=(1,4,1) To find a) the proju(v)  of u over v b) area of the…

Q: a) y" = In x

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Q: FP Construct unit normal vectors în1 and în2 %D ||F,||

A: Note: According to bartleby we have to answer only first question please upload the question…

Q: A Bystem is defined by %3D () betermine the cortro Uability and oboervabitity of the bystem

A: NOTE : As per Bartleby portal , incase of multiple subparts only first three are answered. Please…

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Q: (1) A Curve with 21) = (2,2,1), 2(1)=(0,2,2). Find K(I), BI1). %3D

A: κ(t)=‖r→'(t)×r→''(t)‖‖r→'(t)‖3 and B→(t)=r→'(t)×r→''(t)‖r→'(t)×r→''(t)‖ here r→' is the given curve.…

Q: 4-Find the coordinates the front trace F for line AB, if A(2, 1, -2) and B(3, 3, -5). * O (1,-1) O…

A: A=(2,1,-2) B=(3,3,-5)

Q: What is the wronskian of cotx, cot2x, cosec2x?

A: We will find out the required value.

Q: 6. The first four central moments are 0.4, 8 and 144. Find 'B' and 'y' coefficients?

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Q: find th e angle between u and v in th e given exercise. u= [1,2, 3, 4],v= [5, 6, 7, 8]

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Q: 5. Find all points at whi

A: 5. Given curve C with parametric equations   C: x(t)=2cost, y(t)=8sint We have to find all points on…

Q: find the distance d(u, v) between u and v in the given exercise.

A: We need to find the distance between the two vectors.

Q: 3. Using different colors draw secant lines from (1,2) to each of the points (x+Ax, F(x+Ax) ).

A: (1) graph the given equation  h(x)=x+12+2

Q: )ca) if vector as 6=2ナリーk Calculate axb and bxa. (b) Find The area of the paralletogrmais bounded by…

A: Area of parallelogram of the vectors a and b is a×b.

Q: Compute u X v.

A: Here given vector as u=3-12, v=011 These vectors can be written as u=3i-j+2kv=j+k

Q: Culculate the iterated întegreat T/2

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Q: Prove that MSE(Ô) = V (ô) + [Bias(Ô)]²

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Q: Find w such that 2u + v - 3w = 0. %3D u = (-6, 2, 0, 0), v = (5, –3, 0, 1) w =

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Q: 5.4 Find the least square regresion line for the data pint. (let * be the în de pendent vamiable and…

A: Given data point is (-1,3),(1,1)(3,0)

Q: Integrate: Show that B(p+1,q)+B(p,q+1)=B(p,q).

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Q: Find u· (v X w). 22. u = (1, -2, 2), v = (0, 3, 2), w = (-4, 1, -3)

A: Given that  u=(1,-2,2) v=(0,3,2) w=(-4,1,-3) To find u.(v*w)

Q: Find u - (v x w). u = (10, 0, 0) v= (1, 1, 1) w = (0, 10, 10) V

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Q: sor model is pur using re ath and up t

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Q: 3D 12 - 18х, у' () %3D7, and

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Q: Compute u X v.

A: Cross product of two vectors a x b is defined as a vector c, which is perpendicular to both the…

Q: Find ſ using residues.

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Q: Find image of a and preimage of b T(v1, v2, v3) = (4v2 – v1, 4v1 + 5v2) v = (2, -3, -1) , w =…

A: Given, T(v1, v2 , v3 ) = (4v2 – v1 , 4v1 + 5v2) v = (2, -3, -1) , w = (3, 9)

Q: (4+38)-(9 -J2) Rectangular ?

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Q: Graph the points z=x+iy in |z|

A: Given z=x+iy The graph of z=x+iy  and |Z| is

Q: O Find... f+g3= %3D %3D %3D fig=

A: Given,          fx=5x-1 , gx=x+5

Q: Find the general Salation tor the

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Q: In​ soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The…

A: Given: α=0.01

Q: i) Find the projection of ū on i and the projection of ī on ū.

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Q: Exanple 4: Find the btori Zontal and vortical asymptetes of

A: VERTICAL ASYMPTOTES The line x=L is a vertical asymptote of the function f(x), if the limit of the…

Q: Compute Cixj)xk and un h Find patro of he pMane gog ingi (-i, novmetit tj 4K

A: The equation of the plane passing through the given point and perpendicular(normal) to the given…

Q: Find (a) u × v, (b) v × u, and (c) v × v. u = (−1, −1, 1), v = (−1, 1, −1)

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Q: exemple of a lineer Trans formetion I v-> V Give en thet is one to one not incertible.

A: We have to solve given problem:

Q: 6. 1 Let W = Span -1 4 and y = 1 What is the distance -4 1 10 from y to W ?

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Q: Find the projection o

A: Introduction: The formula of projection of vector u onto the subspace  w spanned by (x,y) is given…

Q: Find u. (v x w). (6, 6, 6) (1, 7, 0) - (0, 0, 1) > 3

A: Given that,u=6,6,6v=1,7,0w=0,0,1