Suppose that you have measured the length of the side of a cube as (3.00±.005) meters. Give an estimate of the volume of the cube and a (good) bound on the absolute error in your estimate.
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- If the crystal lattice constant is the length of the edge of the cube crystal unit in sodium, whose composition is type (BCC) equaí to (4.24A°) angstroms. What is the distance between two neighboring atoms? Calculate the sodium density if its atomic weight is (23).How can you tell if a solution of equations has either no solution, one solution, or an infinite number of solutions using Gaussian elimination?Two small charged objects attract each other with a force F when separated by a distance d.If the charge on each object is reduced to one-fourth of its original value and the distance between them is reduced to d/2,the force becomes?
- This is a Computer Graphics Question on Phong's Lighting Model. Question: A light source with intensity 50 and radius of influence 100 is located at (4,2,93) from which you are called to calculate the illumination of a point on the yz plane. For no shiny surface and negligible ambient light, find the point on the surface with the highest illumination and light intensity at that point. Given the diffuse coefficient is 0.7.20, Solve the equations Ax = b, whereGiven two squares on a two-dimensional plane, find a line that would cut these twosquares in half. Assume that the top and the bottom sides of the square run parallel to the x-axis
- Solve for the determinants of H and Y. Provide necessary solutions numerically and computationally (using a Python program).Use Google collab or PycharmYou solve a non-singular system of 1,000 linear equations with 1,000 unknowns. Your code uses the Gauss-Jordan algorithm with partial pivoting using double precision numbers and arithmetics. Why would the 2-norm of the residual of your solution not be zero?A circle in the XY-coordinate system is specified by the center coordinates (x, y) and radius (r). Read the values for 2 circles- x1, y1, r1 for C1 and x2, y2, r2 for C2. (i) Determine whether the 2 circles intersect. To solve the problem it suffices to check if the distance between the 2 centers is lesser than the sum of radii of the 2 circles. (ii) Find the smallest circle that encloses the two circles and return its center coordinates and radius. programming language - c
- Find the fluid force on the vertical side of the tank, where the dimensions are given in feet. Assume that the tank is full of water. (The weight-density of water is 62.4 pounds per cubic foot. Round your answer to two decimal places.) Parabola, y = x² Ib Submit AnswerLet p=0.54617 and q=0.54601. Use four-digit to express p−q. Find the relative error of the previous part. If α and β are the roots of an equation, illustrate with an example howloss of significance can be avoided if two numbers are very close to each other.(Conversion) An object’s polar moment of inertia, J, represents its resistance to twisting. For a cylinder, this moment of inertia is given by this formula: J=mr2/2+m( l 2 +3r 2 )/12misthecylindersmass( kg).listhecylinderslength(m).risthecylindersradius(m). Using this formula, determine the units for the cylinder’s polar moment of inertia.