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...
theequationforX2y2semicircle=16(y=0) Substitutingx=2.7,get Thatis,thetunnelislessthantheheightofthetruckat2.7m fromthecentrallineofthetunnel,sothetruckcannotget intothetunnel. (two)deepinquiry(newknowledge); Questiontwo:1.Accordingtotheinquiryofproblemone,can ...
(1)accordingtodifferentknown conditions,weusetheundeterminedcoefficientmethodto calculatethestandardequationofcircle Choosethepropercoordinatesystemtosolvethepractical problemsrelatedtothecircle 3.Teachingprocess (1)creatingsituations(enlighteningthinking) Problem1:itisknownthatthecrosssectionofthetunnelis asemicirclewith...
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 ...
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 ...
Sometimes for the complex integrand, we might need the graph showing the region and then we find the area of that region, to evaluate the integral. Answer and Explanation: In the problem, we need to Evaluate the integral in terms of area. {eq}\int...
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 =...