We get a semicircle centered at the origin as the graph of a function if the form of the function isy=r2−a2. This is an upper semicircle whose radius isr. If we want a lower semicircle, then the equation should bey=−r2−a2. ...
Derive the formula for the area of a circle of radius r by evaluating an appropriate definite integral. (Hint: the equation y = square root {r^2 - x^2} gives a semicircle of radius r.) Calculate the integral either directly or using Fundamental ...
equationofcircle Choosethepropercoordinatesystemtosolvethepractical problemsrelatedtothecircle 3.Teachingprocess (1)creatingsituations(enlighteningthinking) Problem1:itisknownthatthecrosssectionofthetunnelis asemicirclewitharadiusof4m.Thevehiclecanonlytravel onthesideofthecenterlineoftheroad.Canatruckwith awidthof...
A function y of variable x can be defined in parametric form where both x and y are functions of a third parameter t. Then, using first derivatives, the first derivative of y with respect to x can be calculated as the ratio of the...
Rotate a semicircle of radius 4 centered at the origin about the x-axis to generate a sphere of radius 4 and then calculate the surface area using calculus. 1) Find the equation of the circle with center (1,3) and radius r =2. 2) ...