Q: Find z dV, where E is the solid tetrahedron with vertices (0,0,0), (1,0,0), E (0,4,0), and (0,0,2)
A: The vertices of the tetrahedron are (0,0,0),(1,0,0),(0,4,0),(0,0,2). x varies from x:0→1y varies…
Q: { Vo, æ L,
A:
Q: Transform the DE; (t-1)sin(t) y" + y'+y tan(t); y(2)=1, y'(2)3D3 into a system of two first order DE…
A: Given the second order differential equation (t-1)sin(t)y''+y'+y=tan(t), y(2)=1, y'(2)=3…
Q: Consider the simple lincar model Y, = Be + B,x, + C. where -N(0,0²); i= 1,2, --,n. 1. Show that a)…
A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts(a, b-i,…
Q: Find the decomposition of a(t) a = arT + anN into tangential and normal components for r(t) =…
A: Given
Q: The Poisson kernel Pr (0 – p) on the unit disk is given by 1-r2 1–2r cos(0-4)+r² O Enez r" sin (n (0…
A: Let f(z) be analytic inside the unit disk. then if
Q: Find Oz! ôu and dzlôv for z= 4e" In(y), x In(u cos(v), y=u sin(v) at the point (u,v)= (2, 7 / 4).…
A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…
Q: Let (B; ) be a Brownian motion with Bo = 0. Define a process (Z,) by Z, = B{l/t for t > 0. What is…
A: Given information: It is given that Bt is a Brownian motion with B0 = 0.
Q: Given the bases B={u, Uz} and B' ={u'1, u'z} for R2, where 1 Uz and u'1 u'2 = The transition mat rix…
A: We are finding transition matrix by finding elements of B as a element of B'. From that we are…
Q: 7. Find the Jacobian of the transformation T(x, y) = (w sin(v²),w cos(v²)). X=w Sin (v?) w = sin…
A: Disclaimer: Since you have asked multiple questions, we will solve the first question (Q7) for you.…
Q: y/ + 2ry = 0, • State the order of the DE (1.1). • Classify the DE (1.1) in terms of linearity. •…
A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…
Q: In(u cos v) and y = usin v. Evaluate and z at the point 2е" In y, x 3D (u, v) = (2, 7/4). Let z = du…
A:
Q: Verify Green's Theorem by evaluating both integrals | y2 dx + x2 dy dA ду for the given path. C:…
A:
Q: 1) Find the outward flux of F across the region D where F= (6x² + 2xy, 2y + x²z, 4x² y³ ) and the…
A: The vector field is,F¯=6x2+2xy, 2y+x2z, 4x2y3The region D is cut from the first octant by the…
Q: 22. Give a formula that gives the length of the outer loop for the curve: r = 4+8 cos(0) (Hint:…
A: To find the length of outer loop of the polar curve
Q: (2) Find the integral (0,2,0) and (0,0,1). where D is the tetrahedron with vertices (0,0,0),…
A: Given : ∬∫x+2y+z dV where D is tetrahedron with vertices 0 ,0 ,0 , 1 , 0 , 0 , 0, 2 ,…
Q: Assuming that the voltage may be described by the sinusoid v = K sin(wt + p), determi values of K, w…
A: Consider the given oscilloscope recording as shown below: And the given voltage is: Objective is…
Q: Carry out the affine transformation | u = (x + y)/V2 lv= (y - x)/V2 in the improper double integral…
A:
Q: 비 az and Given that z = e*, x= 2u+ v, y= .y==. Find using the chain rule. au
A:
Q: Use the Chain Rule to find az/əs and ôz/Ət. z = tan(u/v), u = 8s + 3t, V = 3s – 8t
A: z=tanuv, u=8s+3t, v=3s−8tFormula→∂z∂t=∂z∂u⋅∂u∂t+∂z∂v⋅∂v∂t
Q: Calculate the circulation of A = p cos ap + z sin o az around the edge L of the wedge defined by 0 ≤…
A: Yes , we can solve using stokes theorem. Note that all the cases z = 0
Q: Question 8 Given the bases B = {u,,u2} and B'= {u'1, u'z} for R², where and u' The transition mat…
A:
Q: Consider h(x,y, z) = cos (xy) + eY² + In (xz) at the point P ( 1,0, = 1 Deter-
A:
Q: 2. In A ABC, X is the centroid. A A If CW = 15, find cx and XW. W, B. If BX = 8, find BY and XY.
A: we know that centroid is located 23 of the distance from the vertex along the segment that connects…
Q: Find z dV, where E is the solid tetrahedron with vertices (0,0,0), (1,0,0), (0,3,0), and (0,0,5)
A:
Q: 4. A 5m x 5cm is cut from a corner of 20cm x 30cm. cardboard, find the centroid from the longest…
A:
Q: Find z dV, where E is the solid tetrahedron with vertices (0,0,0), (4,0,0), (0,3,0), and (0,0,2)
A: we have to find triple integral
Q: Find the value of Uhe detorminant OF A using lhe tollowing me toods! Laplace Expansion 4 2 3. A = 3…
A: We need to find the determinant of matrix A, using Laplacian expansion. A=242353442232 The order of…
Q: 1 In Exercises 1–4 compute dA for the given parameterization for one of the two orientations 3. * =…
A: We need to find dA.
Q: z dV, where E is the solid tetrahedron with vertices (0,0,0), (2,0,0), E Find (0,6,0), and (0,0,3)
A:
Q: Consider the solid lih S,: X=4-y² そ=2
A: Surface: Surface, A two-dimensional collection of points (flat surface), a three-dimensional…
Q: Given the bases B = {u1,u2} and B'= {u'1, u'2} for R, where and The transition mat rix P8-B from B…
A:
Q: Use the Chain Rule to find ôz/əs and əz/ðt. z = tan(u/v), u = 4s + 7t, v = 7s – 4t Əz as az II
A:
Q: Determine DFT X[ej"] of the signal (answer a or b) a) x[n]coswon. b) x(n) = a"u(-n- 1) %3D
A: As it's mentioned in the question to answer between a) or b), so showing steps for only one part. b)…
Q: Verify Green's Theorem by evaluating both integrals aN aM y2 dx + x2 dA ду ax for the given path. C:…
A:
Q: 2. 22 – x2 1 By sketching the traces on the ry-, rz- and yz-plane a.
A:
Q: Given the bases B = {u1,uz} and B'= {u'1, u'2} for R, where %3D 1 ,U2 and u'= 1 %3D 1 The transition…
A: If the bases B={u1,u2} and B'={u'1,u'2} for R2, then the transition matrix is: PB→B'=acbd Where,…
Q: 13. Point P is the centroid for AMNO. Calculate OQ if ON = 17. Round to the nearest tenth if…
A:
Q: az Use the Chain Rule to find at for z = In(x? + y), x = st, y = t/s.
A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…
Q: 8. Use Green's Theorem to evaluate px*dx+xydy where C is the triangle with vertices (0,0), (1,0),…
A: As we know from the Green's theorem: ∫CMdx+Ndy=∫∫R∂N∂x-∂M∂ydA And The expression for the equation of…
Q: #1. Evaluate (2x – 5y) dA, R where R is the parallelogram with vertices (0,0), (2,3), (–1,4) and…
A: The given region R is a parallelogram with vertices as shown in below graph. We have to use change…
Q: 3, Let R be the of: y: sinx region endlosed bu the grophs n enclosed by and 1 x70 . Groph R and…
A:
Q: 1. Evaluate the integral ryz dV, where E is the tetrahedron with vertices (0.0,0), (2,0,0), (2,3,…
A: The vertices of tetrahedron are (0, 0, 0), (2, 0, 0), (2, 3, 0) , (2, 0, 4). The equation of the…
Q: 1) Let s,T: e defined by Sx = (0,x1, X2, - ) Tx - (x2,X3, Xyy ..) .. Show that (i) Ilsil = TII = 1.…
A:
Q: Find ff -6xydA over the D triangular region D with vertices (0,0) (2, 0), (0, 4)
A: problem is related to double integration
Q: Given F(x, y, z) = (tan y + cosh x Joi 2xy)i + (x sec² y - x² + 1)ĵ - 2zk, evaluate F. dR where C'…
A: Given that, F→x,y,z=tany+coshx-2xyi^+xsec2y-x2+1j^-2zk^, Therefore, set fx=tany+coshx-2xy…
Q: Prove that the integral: √ [2xyz² dx + (x²z² + z cos yz)dy + (2x²yz + y cos yz)dz ] Is independent…
A: The given integral is ∫C2xyz2dx+x2z2+zcos yzdy+2x2yz+y cos yzdz. The objective is to prove that the…
Step by step
Solved in 3 steps
- Number 4 Identify if homo, varsep, exact, linear in z, linear in t, Bernoulli in z and bernoulli in t, and find the DEGiven the bases B = { f1= sin x, f2= cos x } and B' = { g1= 2sinx+cosx, g2 = 3 cos x } for a continuous function space in R. a. Determine the transition matrix from B' = {g1, g2} to B= {f1,f2} b. Calculate the coordinate matrix [h]B' where h=2 sin x-5 cos xFind the solution of the DE using first order linear DE and/or Bernoulli DE
- Compute N(0) if r(t)=<t sin t+ cos t,2t^2,sin t-t cos y> and prove that T(0) and N(0) are orthogonalWe have the following DFT results for two 1D signals x and y of length two as x' = [4 - 3i 0], y' = [0 12 + 5i]. Calculate the convolution x*y.1. Find the natural cubic spline sN (x) passing through the 3 points (xj, yj) given by (0, 2), (2, 3), and (3, 1).Then evaluate sN (1).
- find the linearization L(x) of ƒ(x) at x = a. ƒ(x) = tan x, a = πBut the definition of subharmonic is -laplace(v) less than or equal 0 in U. How could we obtain that?In the case of E<v0 for a finite well defined by its potential, obtain the wave functions ψI, ψII, and ψIII by applying the relevant boundary conditions and the mathematical relations between the coefficients that decipher these functions.
- Compute the Jacobian for the substitutions x = ρsinφcosϴ, y = ρsinφsinϴ, z = ρcosϴ.(a) express ux, u y, and uz as func-tions of x, y, and z both by using the Chain Rule and by expressing u directly in terms of x, y, and z before differentiating. Then (b) evaluate ux, u y, and uz at the given point (x, y, z). u = e^(qr) sin-1 p, p = sin x, q = z^2 ln y, r = 1/z; (x, y, z) = (pai/4, 1/2, -1/2)Compute the Jacobian of the map G(r, s) = (er cosh(s), er sinh(s))