2 is bounded by the four curves:

Q: sin? x, cos² x X, cOS

A: Complete Explanation given Below.

Q: In your Cartesian plane find and connect the following points:

A:

Q: Find the volume of a parallelepiped

A:

Q: -2 (2) y zy 4 (y 3) Simplify:

A: Following question is solved which belongs to the engineering mathematics under mechanical…

Q: The resultant of two forces acting on the same point can be found using: * Graphical solution…

A:

Q: 1. 2. Find the components of T. 4 Find the components of T2- (Reminder: cos(a) = == T = 6m 30% -40⁰-…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Find the y-component a force, 100N, acting 45 degrees to the right of the negative y-axis.

A: This is the basic question of mechanics. Concept used is to resolve vector in perpendicular…

Q: B- Determine the points of the solution area for the problem shown in the figre and then find the…

A:

Q: - Find the area enclosed by the curve a'x = y'(2a-y)

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Evaluate: lim x-1 x-1 Find the point of inflection of the curve: y = x³- 6x² + 12

A: Givenlimx→1=x2-1x-1the point of inflection of the curve y = x³ - 6x² + 12

Q: Plot the following coordinates, identify the point and draw a box 1. P(5, -7, 4 ) 2. P(-4, -5, -6 )

A: Co-ordinates are mentioned on x y z plane. Subsequently, boxes are drawn.

Q: Find the equation of the circle passing through the points(1,2)having its center(4,6)

A: Solution     The equation of the circle             x-a2+y-b2=r2

Q: 2. A plane region of uniform density has the shape shown in the figure below. 4

A: Given ,  A plane figure as shown. To find -  The centroid of the plane figure.

Q: In your Cartesian plane find and connect the following points: (3,0) (0,6) (-4,-3)

A:

Q: For the Scalar projection of F along r = F * Ur How did you get the -41.924 + 24.0327

A: We have following data:Force vector is, Unit vector in the direction of vector r is,

Q: Two vectors have magnitudes 2m and 3m. The angle between them is 60°. Find the magnitude of their…

A: Given, Magnitude of one of the vector = a → = 2 m Magnitude of the other vector = b → = 3 m Angle…

Q: Given vector A = 2i +j - 3k and vector B= 4j + 5k (a) Determine the cross product of the two…

A:

Q: The position of point P can be represented in the curve by

A:

Q: Find the area bounded by the parabolas y? = 4 – x and y2 = 4 – 4x. |

A: Giveny2=4-xy2=4-4x

Q: Use the law of sines and the law of cosines, in conjunction with sketches of the force polygons, to…

A: Divide all the forces into horizontal and vertical components Assuming x (→) direction and y (↑)…

Q: Use the law of sines and the law of cosines, in conjunction with sketches of the force triangles, to…

A: From the triangle law of vector addition, consider the diagram shown below.

Q: Find the resultant of the vectors and it's direction. Vector A (2,6) and B (8,1)

A: Given:- vector OA= 2i + 6j Vector AB= (8-2)i + (1-6)j = 6i - 5j

Q: The resultant of 2 forces is always equivalent to the diagonal of a parallelogram which contains the…

A: Answer given below:

Q: the vectar sumÃtB the vector difference AB and B-A

A:

Q: HomewoTK: 1. Find the line L passes through the point (1,2) and parallel the line L: X +2y = 3.

A:

Q: -3 4 1 -7 9 -11 8 12 10 15 3

A:

Q: Q2: Determine the magnitude and direction for the resultant for ONE of the showing systems below…

A:

Q: What is the corresponding magnitude of the resultant?

A: From Existing solution, we have

Q: 4. Find the resultant of the 2 vectors (add the vectors): 08 150

A:

Q: 1 d. The point A has coordinates (4, 1), AB = 9 5 BC Find the coordinates of B and the column vector…

A:

Q: the determinant using Laplace Cofactor expansion by row 1.

A: Evaluate the determinant using Laplace cofactor expansion

Q: resultant displacement.

A: Need to find the resultant displacement.

Q: What is the magnitude of the resultant vector's unit vector? (Resultant vector of the two vectors…

A:

Q: find the center of the figure area shown in the image; you must do it with the integral equations…

A:

Q: Q2: At what points do the graphs of the functions below have horizontal tangents? 2.g(x) =x - 3r

A:

Q: Q2 Use the analytical method to find the resultant and its direction of the forces shown in figure…

A:

The Space Lattice and Unit Cells

Every matter consists of atoms, molecules, and ions. If these atoms, molecules, and ions (micro-particles) are represented in a three-dimensional space-occupying certain specific points in space, then these arrangements are termed as space lattices and the specific points which are being occupied by atoms, molecules and ions are termed as lattice points. The atoms, molecules, and ions at the lattice points are generally grouped in a regular fashion and repeat periodically at the three-dimensional space.