AP Calculus help! Limits!
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AP Calculus help! Limits!

[From: ] [author: ] [Date: 12-08-27] [Hit: ]
Use L hopitals rule here or use binomial approximation to calculate,we need to see the graph of sqrt(x) first,put graph of square root of x in google search and u see the graph and notice it.just draw enlarged version of it.......
Considere the family of curves defined by f(x)=csquareroot x, where c is constant. Let the function m(h) be defined as the slope of the secant line that passes through the function f(x) over the closed interval (bracket 9,9+h bracket)

Question: Using an analytic tecnique calculate lim m(h). Show all Steps
2) How would you graph the function m(h) for c=-6 and c=12? What function would i need to graph?

HELPP! i've been spending the last like 2 hours trying to figure it out

-
Lim m(h) = [f(9+h)-f(9)]/[9+h-9]
Lim m(h) =c*[sqrt(9+h)-sqrt(9)]/[h]
Lim m(h) =c*[sqrt(9+h)-3]/h
Use L hopitals rule here or use binomial approximation to calculate,
Lim m(h) =c*[1/2*sqrt(9+h)]/1
Lim m(h) =1/2*1/sqrt9
Lim m(h) =1/6

2) to graph y=-6*sqrt(x) or 12*sqrt(x)
we need to see the graph of sqrt(x) first,
put graph of square root of x in google search and u see the graph and notice it.
to draw 12*sqrtx
just draw enlarged version of it.
wheb drawing -6sqrtx u need to shift graph below x axis and then enlarge it or u can see it using nticing the graph of -sqrtx

Hope it helps :)
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