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Trace the curve y2 = (x + 2)2 (x - 6). Clearly state all the properties you have used for tracing it(e.g., symmetry about the axes, symmetry about the origin, points of intersection with the coordinate axes, tangents at some chosen points, range of definition, its asymptotes (if any), extreme points, etc.)
Calculus with Matrices There actually isn't a whole lot to it other than to just ensure that we can deal along with calculus with matrices. Firstly, to this point we've onl
cos inverse x -cos inverse 2x=pie\2
jeff left hartford at 2:15 pm and arrived in boston at 4:45 pm how long did the drive take him?
If the areas of the circular bases of a frustum of a cone are 4cm 2 and 9cm 2 respectively and the height of the frustum is 12cm. What is the volume of the frustum. (Ans:44cm 2 )
How do you find the area of a circle given the diameter?
Substitution Rule ∫ f ( g ( x )) g′ ( x ) dx = ∫ f (u ) du, where, u = g ( x ) we can't do the following integrals through general rule. This looks considerably
solve the in-homogenous problem where A and b are constants on 0 ut=uxx+A exp(-bx) u(x,0)=A/b^2(1-exp(-bx)) u(0,t)=0 u(1,t)=-A/b^2 exp(-b)
how do you add 1,ooo and 100?
Verify Liouville''s formula for y "-y" - y'' + y = 0 in (0, 1) ?
Linear Approximations In this section we will look at an application not of derivatives but of the tangent line to a function. Certainly, to get the tangent line we do have to
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