Calculus Answers

The function f, defined by f(x)=xcube-6xsquare+16x-15 is increasing in R or not.

Trace the curve x(y^2+4)=8, stating all the points used for doing so.

Trace the curve x = a(t-sin theta), y =a(1-cos theta). State the properties you use for
tracing it, also.

The greatest integer function is continuous on R .Is it true or false..also give reason for your answer

Write y=t+6/t and x=6/(t)(1/2) in rectangular form?

Write each pair of parametric equations in rectangular form? x=2(1/2)+5 y=2t-6?

Write the equation for the ellipse with foci at (5,-5) and (1,-5) and major axis of length 14?

Estimate the instantaneous rate of change of

y(t)=3t^2+1 at the point t=−1

Use the limit definition of the derivative to find the slope of the tangent line to the curve
f(x)=4x^2+7x+6 at x=1

Show that ∆( lnr)= vector r/r