A mass calculation Suppose the density of a thin plate represented by the region R is ρ(r, θ) (in units of mass per area). The mass of the plate is
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- 77. Cinparrow_forwardQ4: Write the parametric equation of revolution surface in matrix form only which generated by rotate a Bezier curve defined by the coefficient parameter in one plane only, for the x-axis [0,5, 10,4], y-axis [1,4,2,2] respectively, for u-0.5 and 0 = 45° Note: [the rotation about y-axis].arrow_forwardThis 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.arrow_forward
- Suppose that the equation ax b .mod n/ is solvable (that is, d j b, whered D gcd.a; n/) and that x0 is any solution to this equation. Then, this equation has exactly d distinct solutions, modulo n, given by xi D x0 C i.n=d / fori D 0; 1; : : : ; d 1arrow_forwardLet v be a vector whose coordinates are given as v = [vx, Vy, Vz. If the quaternion Q represents a rotation, show that the new, rotated coordinates of v are given by Q(0, Vx, Vy, Vz)Q*, where (0, vx, Vy, Vz) is a quaternion with zero as its real component.arrow_forward7. Solve with Python. A peristaltic pump delivers a unit flow (Q₁) of a highly viscous fluid. The network is depicted in the figure. Every pipe section has the same length and diameter. The mass and mechanical energy balance can be simplified to obtain the flows in every pipe. Solve the following system of equations to obtain the flow in every pipe using matrix inverse. S Q₂ 0₂ le 0₂ 90 Q₁+ 20-20-0 Qs+ 206-20-0 307-206-0arrow_forward
- 5. For function f(x) = 6 – x² on R, find: a) f(-5) b) f(3 – h) – f(8)arrow_forwardConsider the unit square [0,1]x[0,1] suppose that the upper side of the square goes down continuously at a constant speed until it reaches the X-axis and at the same time with the same speed the line x = 0 travels continuously with a center at the origin and in a clockwise direction until reaching the same one as the previous one the curve described by the intersection of these two straight lines and called quadratrix, finds a parameterization of the curve. please give correct explanationarrow_forward8. A parametric equation is given by x= 3t 3t2 (Note that the denominator approaches 0 when t approaches -1) Plot the function (the plot is called the Folium of Descartes) by plotting two curves in the same plot-one y = 1+t3 1+t3 for -30arrow_forwardPlease answer all parts of this questions for me with clear steps and explanations, thanks in advance.arrow_forwardA vertical photograph taken from a camera has calibrated focal length f153.206 mm contains an image point "a" of object point A at coordinates x=64.969 mm. y =-78.526 mm relative to the fiducial axes, Calibration sheet shoWS x = 0.247 mm and y= 0.238 mm as calibrated coordinates of principal point. Also, lists the radial lens distortion coefficients K1 2.99778547 x10-08 mm-2 K2-3.15091119 x10A-12 mm-4: K3 H 6.05776623 x10-17 mm-6. Compute the corrected coordinates for the image point "a"arrow_forwardPlease helparrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
- C++ for Engineers and ScientistsComputer ScienceISBN:9781133187844Author:Bronson, Gary J.Publisher:Course Technology PtrOperations Research : Applications and AlgorithmsComputer ScienceISBN:9780534380588Author:Wayne L. WinstonPublisher:Brooks Cole