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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: x³y' +3x?y" +xy' +8y=xInx Select one: a. YG.S +x(c2sin3lnx+c3cos3Inx)+x ( Inx -) - Inx: b.…

A: Given equation is  x3y'''+3x2y''+xy'+8y=xlnx            (i) Let x=et. Then…

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: D2-2D- 3)y = 2sin x; y a. y = C,e™* + Cze* - cosx -sinx %3D COSX b. y = C;e¯* + Cze³* + =cosx – sinx…

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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

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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: 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: 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

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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:

Q: az əz az p?(r+1) Q2: Find if you know that : z = др + pre2p+3r+4t ar 'at t3

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Q: 5) What is the maximum value of y = 5 Cos 4x ?

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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: 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: 16. Where does the smallest value f(r, y) + 3ay + y occur on the rectangle (-2, 2) x (-3, 1]? a) It…

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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: 2) [ tan' (-) sec" () dx , 3) | 3) T5x+4 dx, 1) sin-1x dx , tan () sec? V5x +4

A: Since the question contains multiple part we can solve only first 3 for you. If you want any…

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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Q: HiwiL showthat_Vi= 3i+6j_and Vz =-i-2j_have opfosite directionr.

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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.