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Q: Lut a,bicid by integers such that ad-bc-1. For integes u and y, define Vi u's aut bv and ✓-cut du…

A: Let a,b,c and d be integers such as ad−bc=1. Let u and v be integers and define u'=au+bv and…

Q: H-w lo Find the dliscontinnity point of &cz): 4ca) = 5(2+i) 2+ci-2)Z-zi fcz) = c2) = Sin Z

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Q: Q1) Find the canonical form of these question : a) f(x.y,z) =F=x' y' z+x y° z" +x y z b) f(x.y.z)…

A: We are given: f(x,y,z)=F=x'y''z+xy''z''+xyz We are given the standard Form. F=x'y''z+xy''z''+xyz…

Q: Q find Soluti on Of ion or me Vibrating equati Violin Shing azucxit) 6² Q?U (xit 1) 2. 2. which has…

A: Given an initial value problem, ∂2ux,t∂t2=c2∂2ux,t∂x2 With boundary conditions, u0,t=0 and uL,t=0.…

Q: The monkey saddle z = x³ - 3xy² can be intersected with the cylinder x² + y² = 1 to produce the…

A: Given monkey saddle is z=x3-3xy2 and the cylinder is x2+y2=1. The given curve is the intersection of…

Q: Prove that a bilinear form y: R" × R" → R is alternate if and only if y(u, v) = 0 for all VER".

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Q: еху (ay cosica) since) -y + ay²e²) dx = ) dx = (x - 5.n²cx) - 4xye Ja

A: Exact differential equation Mdx+Ndy=0 [ where My=Nx ] has the solution. ∫M (taking y as a…

Q: 0/ifit was FCかy)2165(6w)30 2 -36 y? cos (6XY) .3 =36 Y'cos (6X4) -36 y'cos (6xY) 2. = 36 y'cos (6XY)

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Q: əz Use Chain Rule to determine and where

A: We have to use chain rule step by step.

Q: What are the coordinates of C' after its preimage, C(5,-3), is reflected over the x-axis? O (5,3) O…

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Q: The equation +y= 9 in 3-space is cylinder Select one TrueO FalseO

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Q: у У1 Уз Уч У 4 | Уб 6 У 7 У 7 64 If y = cos ax, prove that У 2 5 = 0, where y, Ув 8 = dr ту. dx'…

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Q: The efuation t 2x-6x = 4-23 in Cartesian Coordinates Coor dinates as the Rrom. Can be Con Vertto the…

A: The relationship between the Cartesian coordinates and the cylindrical coordinates of a point is…

Q: What is the ALGEBRAIC RULE for REFLECTION over the line y = x? (х, у) —

A: This question is related to reflection of coordinates, We will solve it using given information.

Q: Q13) The function y ce) (atis fies the differen tral equarion 9+ty's 2ey = 2 cosScE) with initial…

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Q: Q2/ Check the symmetry of r² = -sin(20) %3D Ans./ Symmetry about the origin

A: Symmetry

Q: a) L{t.sin(t– 7)U(t-)} = ? 2 L{[(t-u) e* du} =? b)

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as…

Q: 1. Let 2₁ = 2ej/4 and a) 221-22 b) 12/11 d) 3/2 22 = 8/3. Find

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

Q: If y=t3, then y(6)+y(5)+y(4)+(1/3)y'=y? What is the power of y? a) 0 b) 2/3 c) 1/3 d) 3 e) 2

A: Differentiation of y with respect to t can be given as:

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Q: 14.) Using algebra, prove For real numbers X₁X and ..xn 2 { x.g.) ¹² ( 2 xiyi (=1 the identity of…

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Q: find the dy さ× when 3In X リ=(メ+z)m

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Q: The path integral v. dr, where v = direction) is given by (sin y, r- cos y) and C is the perimeter…

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Q: A) In what foints of the Gmplex plane area or is the funcion fcz)= xysiy derived ? B) Findthe…

A: (b) Find the function V(x,y) such that the complex function f(z)=x(1-y)+iV(x,y).

Q: 1 3 For V Vy evaluate y' when y = 4. A) 4 B) -4 C) -2 D) 2

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Q: 01. If w f(u, v), u = cosx and v = sinx, show that: d'w dx2 = v? fuu + u? frv - 2uvfur - ufu - vf,

A: Given w=f(u,v), u=cos x and v=sin xso we see that dudx=-sin x =-v   and dvdx=cos x=u.By chain rule,…

Q: Vee the definition of the downtie! Find filx) then find fil-2), f'(0), and fi(3) 12 - X 3 b.) f(x) =…

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Q: HW) If rCH)=6 sinzt ċ+ Gcas zt j + 5tk find F,Ñ, V, a and speed at t-2

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A: random variable x follow beta distribution (alpha,beta) then to find pdf of y=-ln(x)

Q: 07. For the equation ginen below, evaluate y' (2,2) paict c५ +्2%-02 3 3r- + at the y at (2,2)=? %3D

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Q: (2,2) b) Evaluate o x*y dx + x dy, shown in adjacent figure using green's theorem. where c is…

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Q: 4y" + 36у — csc 3at

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.