The divergence of a vector field F(x,y.z) = xyři + 2x²yzj – 3yz'k at the point (1, -1,1) is 9. -3 3 -9

Q: rm and (b) magnitude (leng

A: Given:- u=3,-2 v=-2,5 To find:- Component form and magnitude of the vector

Q: Find the specific the surface in cm2/g of the fine aggregates knowing that its specific gravity is…

A: Given Data: The specific gravity of a fine aggregate is, G=2.65 g/cm3 The correction factor for all…

Q: Elimination of Arbitrary Constants

A:

Q: Solve +24 to e

A:

Q: Use the double integration method to determine the distance a at which the bearing supports at A and…

A:

Q: solve accurately

A: Solution given below step by step Explanation:St

Q: Finding the vertex, intercepts, and axis of symmetry from the... Use the 1 of the parabola to fill…

A: (a) Upwards  (b) Vertex: (2,-1) (c) Equation of axis of Symmetry:  X=2 (d) X intercept(s):  1,3 Y…

Q: Determine the orientation of the principal planes.

A: θP = 22.21O

Q: Use the method of joints to determine the force in each member of the truss. State whether each…

A: It is required to find forces in truss members.

Q: Find the Lagrange polynomial L2(x) that passes through these points: (-2, 2) (0, -2) (2,2) The term…

A:

Q: AND

A: FOrce in each nail isF=q×sq=shear flow

Q: Part B: If f(x) = x -1 find f(3) and f(f-(7).

A: Concept: To find inverse of an algebraic function we first replace the term ‘y’ with ‘x’ and ‘x’…

Q: Find the equotion 6f Hhe tangent line Py=cosx at x -.

A: Given, y = cosxx= π2

Q: How many Gauss integration points (in one dimension, along s) will be needed to get the exact…

A: 1. Understanding the Four-Noded Bar ElementA four-noded bar element in one dimension has nodes at…

Q: Find the area of the triangle with vertices P(1, 2, -5), Q(0, 0, 0) and R(3, 5, 1). NOTE: Enter the…

A:

Q: x2 The vertices of the hyperbola with the equation 4 1 are 4 (-2, 2) and (2, 2) (-2, 0) and (2, 0) O…

A:

Q: Sigma x is 100MPa Sigma y is -60 Mpa Txy is -48 MPa Use Mohr circle to find normal and. Shear…

A:

Q: Balancing the sums of the forces in the primed coordinate system yields two equations: 0x = 0x cos²…

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the vector component of v = (4, -1, 7) along b = (1, 2, -2) and the vector component of v…

A:

Q: Find the Lagrange polynomial L2(x) that passes through these points: (-2, 2) (0, -2) (2,2) The term…

A: given  (-2,2)  (0,-2)  (2,2)

Q: Use any method to determine the vertical deflection at Point D.

A: Using load method of analysis to find deflection at point D in the vertically direction#####

Q: Eliminate the arbitrary constants of the following DES 1. y=x+ae* + be¯* 2. cy² = x² + y

A: Step 1: Step 2: Step 3: Step 4:

Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is…

A:

Q: A wooden beam is loaded by a distributed load w = 6 N/mm as shown in Figure Q4(a). The cross-section…

A:

Q: A cast-iron beam 10 m long and supported as shown, carries a uniformly distributed load of intensity…

A:

Q: The natural frequencies of a cantilever beam are Wn(n=1,2...). How do you go about finding the…

A:

Q: For the structure in this figure , write an expression that would determine the horizontal…

A:

Q: displacements of nodes 2 and 3 of the following element are q2=0.12 mm and q3=-0.06 mm, respectively…

A:

Q: β = 0.2 and α = 6.3

A: Given:- The increase in speed from rest to 50 mph in 3.8 sec The increase in speed from rest to 65…

Q: A beam AB bears the force as follows, and the flexural stiffness of the beam section is constant EI:…

A:

Q: Derive the equation for the elastic curve that is valid for 0 ≤ x v(x) = | 8 PL2 125 EI -aL- P…

A: We need to calculate elastic curve equaltion valid for 0 < x < aL a =

Q: Show that g(x) = 2x² + 3-3 has a real zero using the Intermediate Value Theorem.

A:

Q: Given a 2.7 m, and b = 6.0 m, = y Iy b = a determine the moment of inertia of the area about the…

A:

Q: Let f(x, y) = e**~y. (a) Evaluate f(2, 4). (b) Find the domain of f. (c) Find the range of f.

A: a) To calculate value of function at (2,4) Put x=2 and y=4 in f(x,y)

Q: If F = 2zî +(x+ z)j+(3x+2y)k and C is the boundary of triangle with vertices (2, 0, 0), (0, 3, 0)…

A:

Q: Solve using elementary row operations and an augmented matrix. x– 2y - 3z = 0 x +4y + 4z = 10 3x +…

A:

Graphical Methods

The graphical method is a method of solving equations involving more than one variable using the Cartesian coordinate system. In civil engineering, the use of the graphical method is limited to the problems involving two variables. The graphical method has a great impact in solving the questions regarding engineering mechanics.