Problem 16 Sketch the vector function V3D and compute its divergence. The answer may surprise you...can you explain it?

Q: Consider the curve r (t) (Rcost, Rsin t) where R is a fixed positive number (radius), and 0 <t< 2n.…

A: As per our policy, we will answer the first 3 subparts. Kindly resubmit the last one as a fresh…

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

A: Given in question - "Graph of curve" To find - Nature of gradiant (dydx) at point 'A'

Q: Prove that I de xR

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Q: What would be the magnitude and direction of the initial acceleration of an electron moving with…

A: Given data: The magnetic field calculated in pat a is B=18.45×10-6 T The charge of electron is…

Q: could part d of this question be done please

A: (d) Write the expression for gradient of the function.

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

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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…

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Q: Determine the projection of force F = 80 N along line BC. Express the result as a Cartesian vector.

A: Given, F = 80 N We need to find the projection of F along BC and express it in a Cartesian vector.

Q: A docs.google.com/forms/d/e Which function is preferable to find the magnitude of a complex number?…

A: 1. Correct option is : abs ()

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

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Q: (a) Find the scalar products î î, ĵ· ĵ, and k · k. (b) Find î · î, î · k, and k î (c) Use the…

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Q: B. Express the position vector Ron in Cartesian vector notation if point N has a coordinates (1,2,0)

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Q: a) (),- ), Total differentials: U(V,T) du = C,dT + n-dV S(V,T) ds = aT + dv H(P,T) S(P,T) dH = C,dT…

A: Here we have to prove above thermodynamic relationship.

Q: Now find the components Nx and Ny of N in the tilted coordinate system of Part B. Express your…

A: The figure of projection of vector N on x and y axis is given.

Q: Consider the following function of variable r, for r>0: y(r) = (r² – 6.00r) exp(-r). Part A Find the…

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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: 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: In the graph given below, at the point B, the second derivative (d'y/dx?) is B O a. infinite O b.…

A: The second derivative tell us whether the curve is Concave Up or Concave Down. If the second…

Q: Q3/ A particle is placed on a smooth sphere of radius b at a distance b/2 above the central plane.…

A: Solution:

Q: Part (d) Find the following vector product A x (F +2C ).

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

A: Ans : b) zero

Q: Part (f) Find the following vector product ĵ x B.

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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: what is the derivative dr r2

A: We know,  derivative of xn = n*xn-1

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

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Q: 2) Consider the two vectors Ā = A,î + Ayĵ and B = B,î+ Byj. If î · î = ĵ · j = 1 and î·j = ĵ · î =…

A: Write down the given values using suitable variables. Here A signifies the 1st vector, and B…

Q: 1. Compute the divergence and curl of the given vector function: xy2 ,4x² – 3z) 2z F(x, y, z) = (7x…

A: Bartleby's guidelines allowing answer only the first question

Q: B. Find the slope of the curve at the given pol 11. y=4-3x² at (-1, 1) 12 p=x²-5 at (1, –4)

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Q: The triple scalar product is given by (ux v).w=&u,v,w. Expand this equation and simplify, so as to…

A: The Levi-Civita symbol εijk is a tensor of rank three and is defined byεijk=0, if any two labels are…

Q: Part (f) Find the following vector product j x B.

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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: Consider the plane x + 2y – z = 5 and the vector = 2i - 5j + 3k. a) Find a normal vector to the…

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Q: If r is going from the origin to the point (x,y,z) and r#0 I prove the following relations: V«($) -…

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Q: 1. Show that the function y(x)= Ax" (A and n are constants) will give a straight line on a log- log…

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

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Q: A-find the Curl, Divergence and Gradient 1, f(x) = xe* – ye? + xze %3D

A: f(x)= xex -yez +xzey

Q: can you answer d please? (d) Draw the velocity vectors, theta and the resultant velocity vector at…

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Q: Part (c) Find the following vector product Dx T.

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Q: (c) Define the differential surface vectors of differential volume in Cartesian coordinate for the…

A: The differential surface vectors of differential volume in Cartesian coordinate for the six faces of…

Q: In the graph given below, at the point C, the second derivative (d'y/dx) is. C O a. zero O b.…

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Q: Consider the following three vectors: Part C A= (2,-1,1). B= (3,0,5). and C= (1,4,-2). Calculate the…

A: Here A→=(2,-1,1); B→=(3,0,5); C→=(1,4,-2)  And we are required to find A+B+C, so we can find that by…

Q: c) Calculate the integration y+1 dydx

A: We can solve this integration by changing order of integration

Q: VECTOR ADDITION I. Determine the resultant of the following. Show your complete solution and the…

A: 1. 30 m West and 75 m North: The resultant vector, R→=-30 m i^+75 m j^   The magnitude, R→=-30 m2+75…