Hi there, I need some help with this question
Question from Continuum Mechanics for Engineers 2 edition- Subject: Indicial notation
Please, write clearly
Hi there, I need some help with this question Question from Continuum Mechanics for Engineers 2 edition- Subject: Indic...
good evening.
i need help with this calculus question.
i will thumbs up your answer.
or more conveniently, Given the vector field in space F(x, y, z) = ri+yj + zk (x2 + y2 + 22)3/2 F(r) where r = ri+yj + zk and r= ||1|| = r3 r 22 + y2 + 22 (instead of p) (a) [10 pts] Find the divergence of F, that is, V.F. (b) [10 pts] Directly evaluate the surface integral F. NdS where S...
good evening.
i need help with this calculus question.
i will thumbs up your answer.
or more conveniently, Given the vector field in space F(x, y, z) = ri+yj + zk (x2 + y2 + 22)3/2 F(r) where r = ri+yj + zk and r= ||1|| = r3 r 22 + y2 + 22 (instead of p) (a) [10 pts] Find the divergence of F, that is, V.F. (b) [10 pts] Directly evaluate the surface integral F. NdS where S...
I need help with 2 of the 3 exercises or with the 3
exercises.
LINEAR ALGEBRA TOPICS: Quadratic Forms and Sylvester's Theorem May 23, 2019 1.Let V be a real vector space of finite dimension and f: VR a function such that the expression F(v, w)-f(v+w)- f(v)-f(w) is bilinear. Assume further that f(λυ-λ2f(v) is satisfied for all λ E R and every vector UEV Prove that under these conditions f is in fact a quadratic form. Determine the bilinear form...
Please answer all parts
uhlqueness!I so, in what way or ways would the proof and the result differ from those given above? IV-25 In the text we defined the gradient in terms of certain partial de- rivatives. It is possible to give an alternative definition similar in form to our definitions of the divergence and the curl. Thus, Here/is a scalar function of position, s a closed surface, and Δν the volume it encloses. As usual, n is a unit...
Answer all parts please
uhlqueness!I so, in what way or ways would the proof and the result differ from those given above? IV-25 In the text we defined the gradient in terms of certain partial de- rivatives. It is possible to give an alternative definition similar in form to our definitions of the divergence and the curl. Thus, Here/is a scalar function of position, s a closed surface, and Δν the volume it encloses. As usual, n is a unit...
Hi need help for this Question Surface Integral Question:
Given Formula
Question 2 'Eand G is the surface passing through the points D.E Figure 1 shows 2 curved surfaces. S is the surface passing through the points A, B, Cand D. The equations of both su given in the figure. Determine the unit surface normal for S2 at the poi0,.s a volume directly above S2 and below S 0.5,0.5) and the D1,0,2) S2:z (1-x)(1-y) Figure 1 Equations for curves and...
MARK WHICH STATEMENTS BELOW ARE TRUE, USING THE FOLLOWING, Consider Vf(x, y, z) in terms of a new coordinate system, x= x(u, v, w), y=y(u, v, w), z=z(u, v, w). Let r(s) = x(s) i+y(s) + z(s) k be the position vector defining some continuous path as a function of the arc length. Similarly for the other partial derivatives in v and w. For spherical coordinates the following must also be true for any points, x = Rsin o cose,...
I need help with question 2b and 3. Please help it would be
awesome if i knew how to do these questions.
v=(2,-4)
w=-3i+2j
2. Let and ui be as in Problem 1. Find the following quantitics (a) 2u) (ui-2t). (b) The angle between the vectors (2u) and (wi-2) 3. Let be the line defined by 2r +3y 1. (a) Find an equation of the line parallel to I, running through the origin. (c) Find an equation of the line...
Hi need help for these Questions:
a. Given f = yi + xzk and g =
xyz2, determine (∇ x f ) .
∇g at the point (1,0,3)
b. Point A lies on the curve r(t) = 2 cos t i +
2 sin t j + t k for the range 0 ≤
t ≤ 2π . At point A, the tangent vector is T = -
21/2i +
21/2j + k. Determine
the co-ordinates of point A and...
please i need help with this
Question 4 10 pts Brian is on Mars and decides to dump his physics textbook into this never before seen hydrocarbon lake. The atmospheric pressure in Mars is 1/4 that of Earth's and the gravitational acceleration is 3m/s^2. The hydrocarbon liquid has a density of 1300 kg/m^3. If the book is experiencing a force of 426 N underneath the lake, how deep is the book inside the lake? The book has a surface area...