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Why don't I have to factor out the (1+h)^2? on problem 2, page 2?
http://www.math.wisc.edu/~hernande/Teaching/UM/Math115Sec011Winter2011/Quizzes/Quiz3/Solution/Quiz3Sol.pdf
 one year ago
 one year ago
Why don't I have to factor out the (1+h)^2? on problem 2, page 2? http://www.math.wisc.edu/~hernande/Teaching/UM/Math115Sec011Winter2011/Quizzes/Quiz3/Solution/Quiz3Sol.pdf
 one year ago
 one year ago

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swin2013Best ResponseYou've already chosen the best response.1
yea but i don't need to square 1+h because why? lol
 one year ago

swin2013Best ResponseYou've already chosen the best response.1
usually i have to square it... that's why. especially for a slope problem.
 one year ago

phiBest ResponseYou've already chosen the best response.1
I don't understand the question. you are asked to find the average velocity = distance/time the distance traveled in the time between 1 and 1+h (with h=0.1) is 4(1.1)^2 +3  ( 4*1^2 +3) 4*1.21 + 3 4 3 4.84 4 0.84 the time interval is 0.1 sec, so velocity is 0.84/0.1 = 8.4 sec
 one year ago

phiBest ResponseYou've already chosen the best response.1
in other words, you do square (1+h)
 one year ago

swin2013Best ResponseYou've already chosen the best response.1
but when i squared (1+h), the 4's and 3's cancel. i get 8.04 when the answer should be 8.4 m/s
 one year ago

phiBest ResponseYou've already chosen the best response.1
in each case, you find how far the particle got by time step 1. Then find where it is at time step 1+h. The difference between those two distances is how far it moved in h secs.
 one year ago

phiBest ResponseYou've already chosen the best response.1
but when i squared (1+h), the 4's and 3's cancel. i get 8.04 when the answer should be 8.4 m/s for case (i), with h = 0.1 1+h is 1.1 1.1*1.1= 1.21 4*1.21= 4.84 subtract 4 0.84 divide by 0.1 to get 8.4 you must have made a mistake doing 1.1 * 1.1 ??
 one year ago

phiBest ResponseYou've already chosen the best response.1
I am not sure how you did your calculation, but you have a "bug" in it, so it would be good to figure out where you are going wrong...
 one year ago

swin2013Best ResponseYou've already chosen the best response.1
\[4(h ^{2}+2h+1) +34(1)^{2}3\] since t =1?
 one year ago

phiBest ResponseYou've already chosen the best response.1
yes. that looks ok. then 4h^2 +8h +4 +3 4 3 = 4h^2+8h if we divide by h (to get velocity) 4h+8 with h=0.1 this is 4*0.1+8 = 0.4+8= 8.4 perfect!
 one year ago

swin2013Best ResponseYou've already chosen the best response.1
ok that's where i went wrong. i factored out 4h so it would be 4h ( h^2 +2) and canceled out the h's so it would be left with 4(h^2+2)
 one year ago

phiBest ResponseYou've already chosen the best response.1
if you factor out 4h, it should be 4h(h+2) and 4(h+2) after dividing by h
 one year ago

swin2013Best ResponseYou've already chosen the best response.1
yea that's my mistake... i left the squared. thanks :)
 one year ago

swin2013Best ResponseYou've already chosen the best response.1
i can't believe it was that miniscule
 one year ago

swin2013Best ResponseYou've already chosen the best response.1
i know! such a tiny mistake could cost me an answer by one decimal place _
 one year ago

phiBest ResponseYou've already chosen the best response.1
sometimes it just doesn't work out...good luck!
 one year ago
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