Find the indicated trapezoid approximations to the following integral. 10 | 7x dx using n = 2, 4, and 8 subintervals 2 T(2) = ||(Simplify your answer. Type an integer or a decimal.)

Q: Answer 5,6,7,8,9 write whether attract or repel for every number

A: As we know that that  same pole repels and opposite poles attract i.e, N pole  will  repel N pole…

Q: Evaluate the given integral. Jx²Inxdx

A:

Q: In the graph given below, at the point A, the second derivative (dy/dx?) is B O a. posititve O b.…

A:

Q: Find the equation of the osculating plane for the curve (rt) = costi + sintj + 2tk) at t=0. %3D Find…

A: A. Given curve is: Osculating Plane is given by the formula: now, This is the equation of the…

Q: Compute the line integral of i = (p cos? 0)p – (p cos e sin 0)ô + 3po, 2 %3D around the path shown…

A:

Q: Show that if a matrix is orthogonal and its determinant is +1, then each element of the matrix is…

A: Let A is an orthogonal matrix with determinant equal to+1. Orthogonal matrix, AAT=1…

Q: Consider the following Hermitian matrix 3 1 i 2 1i a) find the eigenvalues find the eigenvectors b)…

A: (a)The eigen values is,

Q: Prove the Jacobi identity: A × (B × C) + B × (C × A) + C × (A × B) = 0. Hint:Expand each triple…

A: A × (B × C) + B × (C × A) + C × (A × B) = 0

Q: Prove that

A: To prove: It is known that:

Q: Evaluate the surface integral /| (2xzdydz + ydzdx + z?dxdy) where S is a closed surface, given by S:…

A: Given:I = ∯S 2 xz dy dz + y x dx dz+…

Q: (Vector analysis) Given the function v with cubic volume having sides of length 2 from the origin as…

A:

Q: Derive a formula for the centroid of section U in the figure below, in terms of r and h and in…

A: The centroid is a centre point of an object. In other words, if we have to replace the object with…

Q: Evaluate the commutator L,, L, L,- (a) h'L, (b) 0 (c) h'L, (d) h°L.

A: In rotational mechanics, Angular momentum holds a similar place as linear momentum. If Net torque on…

Q: Show that the points with position vectors 3i-5j, 4į+j, 6¿+13j are collinear. If the point whose…

A:

Q: In the graph given below, at the point B, the second derivative (d²y/dx²) is В a. negative b. zero…

A: In this problem given a graph and various point A, B, and C.  We find out second derivative at point…

Q: Set up the triple integral of an arbitrary continuous function f(x, y, z) in spherical coordinates…

A: Please see the answer below

Q: Which of the following is the conserved quantity if the system having Lagrangian - m. (а) Р, (b) Р,…

A:

Q: Problem 16 Sketch the vector function V3D and compute its divergence. The answer may surprise…

A:

Q: In the graph given below, at the point B, the nature of gradient (dy/dr) is A 4

A: Ans : b) zero

Q: Find the linear approximation of the function y = x' at point xo 1

A:

Q: In the graph given below, at the point C, the second derivative ( d?y/dx? ) is B

A: At point C slope is zero and slope is not changing just before and just after point c.

Q: Find the centroid of the region bounded by the set of curves

A: Area Bounded by the Curves:When area bounded by curve and line has to be identified, then the…

Q: Consider a cube with one corner at origin and the other corner along the body diagonal at (1,1,1).…

A:

Q: H.W.: prove that the eigenfunctions , (x) =cos (x) and 3 (x) =cos x) 2a are orthogonal.

A:

Q: Consider the following scalar and vectors: Ã = 41+ 3) + 7k T = 3x+8yz + 2zx 1. Calculate for the…

A: REQUIRED  LAPLACIAN. DIVERGENCE.

Q: In the graph given below, at the point B, the second derivative (d²y/dx²) is В

A: Point of inflection: point of inflection is a point on a curve at which the curvature (slope)…

Q: In the graph given below, at the point B, the second derivative (d²y/dx²) is B O a. posititve O b.…

A: second derivative of the y with respect to x:

Q: A wire whose equation is Z = a(x +y) is rotated about z axis with constant angular velocity o.…

A: Given that, Mass of the bead = m , that slides on the wire such that wire is rotated about z-axis at…

Q: Which of the following is the conserved quantity if the system having Lagrangian 1 (а) Р. (b) Р, (c)…

A: Lagrangian of a system is a function of generalised coordinate, first derivative of this generalised…

Q: Evaluate the integral W = mv dv. %3D Express your answer in terms of m, vj, and vf.

A: Part F: The given equation of work in the integral form is: W=∫vivfmvdv

Q: Mixed Triple products

A:

Q: 4. Find the gradient of the following scalar fields: (a) U = 4xz + 3yz (b) W = 2 p (z + 1) cos

A:

Q: Finally use the above to show how to obtain the equation to determin the y-intercept (c) of the…

A: Question :....

Q: Without finding T and N, write the

A: position vector r is given. want to calculate acceleration. acceleration =ddt(drdt)

Q: Evaluate the given integral. S 1 (x²+4)3/2

A:

Q: Because every joint has more than two unknowns, we will begin by solving for the external reactions.…

A:

Q: Find the divergence and curl of A = e*Yãx + sinxyā, + cos?xza,

A: