Mr Homie

Match the parametric curve to its description. Be careful: It is possible that the same description fits more than one parametric curve! (a) (t + 1,4t−2) (b) (t^2,3t^2) (c) (cost,2(cost)^2 + cost) (d) ((2t + 1)sint,(2t + 1)cost) (e) (2t−1,5) (1) A portion...

Match the parametric curve to its description. Be careful: It is possible that the same description fits more than one parametric curve! (a) (t + 1,4t−2) (b) (t^2,3t^2) (c) (cost,2(cost)^2 + cost) (d) ((2t + 1)sint,(2t + 1)cost) (e) (2t−1,5) (1) A portion...

f(x) = 1/(1−x) is given. From this we produce two new functions: g(x) = f(f(x)) and h(x) = f(g(x)). (a) For which values of x is f(x) undefined? (b) Find a formula for g(x), and simplify it. (c) For which values of x is g(x) undefined? (d) Find a formula fo...

function f(x) =1/x assume that point has coordinates (a,1/a), where a > 0 is some fixed value. (a) Find the equation of the tangent line. (Your answer will be a formula depending on the value a.)

Show that 1+((e^x-e^-x)/2)^2 = ((e^x+e^-x)/2)^2 Can someone explain how does the 1st equation is equal to the 2nd one

A car is stopped at a red light, and starts moving at time t = 0 when the light turns green, with an acceleration given by a(t) = √t, with t given in seconds, and distances given in metres. a. Find a Formul

I used a graphing site for parametric curve and (d) gives me a graph like a roller coaster. so it is a circle ?how about for b and e??

sorry but I don't get the part that I should watch for places where f is undefined. I tried to get the value of x that is f(x) undefined and I got x=1

so what description(1-5)fits the given parametric curves(a-b)? cheers.

So this means that (d) doesnt match any other description? because that's not a circle right? What does (2) and (3) should look like in the graph?

What does (2)straight line traversed at constant speed and (3) A straight line traversed at variable speed should look like in the graph?