I have a cam contour that I generated using Solidworks that I exported as a series of points and fit a spline to using the spline and ppval commands. I need to analyse this cam mathematically, and to do so I need to find the gradient at many points on it, hence needing the e...
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The unit step response is a standard tool for experimental identification; its shape is equivalent to a solution of an appropriate governing equation. In this study, we investigate two variants of nonlinear first-order governing equation,{y'=k(1-y^\beta )/\beta }, and mainly its rescaled ve...
Use the distance formula to find the perpendicular distance from P(1, 3) to the line y = (x/2) - 5. Any ideas on how to get started? Perpendicular lines have gradients that multiply to give -1, so the gradient of the line you are looking for is -2. You know that (...
General Steps to find the vertical tangent in calculus and the gradient of a curve: Find thederivativeof the function. The derivative (dy/dx) will give you the gradient (slope) of the curve. Find a value of x that makes dy/dx infinite; you’re looking for aninfinite slope, so the ve...
The interpolation formula is given below. It uses an equation of a straight line. Steps: Use the following formula in cellC15. =C7+(C14-B7)*(C8-C7)/(B8-B7) We want to find the interpolated value when theX Coordinateis 2.75. For this reason, we chose the first availableX Coordinates...
You can't learn about linear equations without learning about slope. The slope of a line is the steepness of the line. There are many ways to think about slope. Slope is the rise over the run, the change in 'y' over the change in 'x', or the gradient of a line. ...
In this example, the gradient is -½. You could also use the gradient to find the equation of the above line (the equation for a linear function is y = mx + b). The line crosses the y-axis at point B when y = 3. Therefore, the equation would be y = -½ + 3. The Grad...
How do you find the minimum distance between two curves? f1(x)=ax2+bx+cf2(x)=gx2+hx+j Distance Between Functions: Let us consider two real-value functions of one variable f(x) and g(x). The distance between the functions is defined as th...