theequationforX2y2semicircle=16(y=0) Substitutingx=2.7,get Thatis,thetunnelislessthantheheightofthetruckat2.7m fromthecentrallineofthetunnel,sothetruckcannotget intothetunnel. (two)deepinquiry(newknowledge); Questiontwo:1.Accordingtotheinquiryofproblemone,can wegettheequationofcirclewhosecenterisat...
(1)accordingtodifferentknown conditions,weusetheundeterminedcoefficientmethodto calculatethestandardequationofcircle Choosethepropercoordinatesystemtosolvethepractical problemsrelatedtothecircle 3.Teachingprocess (1)creatingsituations(enlighteningthinking) Problem1:itisknownthatthecrosssectionofthetunnelis asemicirclewith...
Find parametric equations for the semicircle x^2 + y^2 = a^2, y 0, using as parameter the slope t = \frac{dy}{dx} of the tangent to the curve at (x, y). Consider the parametric curve: x = 9 + 6 cos t, y =...
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 The...
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...
Find the area of the largest rectangle that can be inscribed in a semicircle or radius r. Find the largest area possible for a rectangle inscribed in a circle of radius Find the area required of the largest rectangle that can be inscribed in ...
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 =...