The following classical curves have been studied by generations of mathematicians. Use analytical methods (including implicit differentiation) and a graphing utility to graph the curves. Include as much detail as possible. x3 + y3 = 3xy (Folium of Descartes)
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The following classical curves have been studied by generations of mathematicians. Use analytical methods (including implicit differentiation) and a graphing utility to graph the curves. Include as much detail as possible.
x3 + y3 = 3xy (Folium of Descartes)
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- Find the area of the region between the graphs of f(x) = 7x + 8 and g(x) = x + 2x +2 over [0, 2]. %3D (Use symbolic notation and fractions where needed.) A =In scientific subject work, what are the three basic steps in building an ideal model?Please find the value of g and the value for the uncertainty in g (in m/s^2). Refer to image.
- Consider the following kinematics equation: V²₁ = V² + 2ax where Vf and V are both representative of velocities with units of [m/s], determine the proper units of 2a4x (the second term on the right-hand-side of the equals sign), such that the equation obeys the principle of dimensional homogeneity. (Include square brackets around your final answer). Typo NOSolve the following:A group collected data in an experiment to learn to draw suitable trendline in a graph. They don't know the theoretical model, so they are trying to determine one through this experiment. They used Excel to display the data and to find good fit. They tried linear, exponential, and power trendlines. The result of each trial is shown below. The title of the plot contains the name of the trendline used to fit. What should be their analysis based on the result they have so far? Exponential trendline 20 Power trendline 18 y = 0.8374e047x R? = 0.9851 16 y = 0.8045x1.538. R2 = 0.981 15 14 12 10 10 ..... 4 ..... ....... 2 1 3 4 1 7 Linear trendline 20 y = 3.0209x - 4.6606 15 R? = 0.9293 10 ........ 2 4 6 8 The linear trendline is good fit The exponential trendline is good fit Any one of the three trendlines seems good candidate The power trendline is the best fit 2. 2.
- Need help on finding the values of R_k , R_0 and S . If you can show me how to solve it step by step , thanks in advance .Use DeMorgan's theorem, Boolean algebra, and the method of splitting vinculum to simplify the following expression. Which is the correct answer? Y = A+ B (C + D) Expression A. Y = A + B + C + D Expression B. Y = A+B + C +D Expression C. - - Y = AB + AC+ AD Expression D. Y = A +B +C + DProblem 3: Consider the linear chain of carbon atoms shown in Fig.1. for example it can be a chain of hydrocarbons with alternating single and double bonds such as C=C-C=C-C=C-C AA (2) (3) (4) (5) (0) (1) (2) (3) (a) What is the lattice vector? What is the basis? Specify the coordinates using b=a/4
- 1. Consider the data sets below, determine if it is reasonable to assume that y is proportional to z. If it is, approximate the constant of proportionality. If it is not, describe why this assumption is not reasonable. 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1. 1.2 1.44 1.69 1.96 2.25 2.56 2.89 2. Use dimensional analysis to derive an expression for the volume flow rate, q, in terms of r (the radius of the pipe), u (the viscosity of the fluid) and (the fall in pressure per unit length) dz dp LT L ML-T ML-T %23 19°C A O CGiven the points in space, A = (4,2,– 3), B = (-2,5,1), and C = (5,1,– 2) A) Find a parametric set of equations for the line through point A parallel to the line through points B and C. B) Find the equation of the plane containing points A, B, and C using a vector approach (from chapter 11). C) Find the coordinates of a point on the plane other than A, B, or C which does not lie on a coordinate axis. (no 0 coordinates)Two metal bars are welded together to shape a more extended bar. The length of the primary bar is L₁ = = 0.97 ± 0.02 m And the length of the secondary bar is L2₂ 1.13 0.01 m. = Figure out the length of the bar (including uncertainty). Show your steps.