(1)accordingtodifferentknown conditions,weusetheundeterminedcoefficientmethodto calculatethestandardequationofcircle Choosethepropercoordinatesystemtosolvethepractical problemsrelatedtothecircle 3.Teachingprocess (1)creatingsituations(enlighteningthinking) Problem1:itisknownthatthecrosssectionofthetunnelis asemicirclewith...
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) ...
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 T...
Sketch a graph of the parametric equations x = -3 \sin t, y = 5\cos t; \quad 0 \leq t \leq \pi Find parametric equations for the curve with the Cartesian equation. y = 6x \sqrt{1 - x^2} Find parametric equations for the ...