1) find the derivative of (note, Pi as in the greek letter, ie 3.1415 ) (4e^3x) - 2(x^Pi)^3 2)Find the derivative of Ln(5t)^3 3) Find all points where the graph of y=2x^(3/2) has a slope of 12. 4) A rock is thrown straight up with an initial velocity of 128 ft/sec, so that its height (in feet) after t seconds is given by s(t) = 128t -16t^2 a) When will the rock hit the ground? b) what is the rock's velocity when it hits the ground c) what is the rock's acceleration when it hits the ground? Just a sample of some of the questions from my business calc review sheet.
4) a) about 8 seconds b) the same as when it was thrown c) acceleration of an object with no means of transferring energy to produce propulsion is limited to forces applied externally, in the case of a rock (no longer under the influence of our illustrious authors arm) this would be GRAVITY, and so about 9.75 metres/sec (32 something ft), regardless of where it is. if however, The Rock's that big bald wrestler dude... who cares? he kicks mummy ass.
Actually I've done them all myself already, (and about 25 additional ones) I'm intersted in seeing what someone else gets for #1 and #2 to check my answer but figured I'd throw in two more for people to play with. ashsimmonds... unfortunately while I think that would be the correct scientific answer for 4,c) work with the formula given and not exterior knowledge. While your answer is correct it wouldn't be given credit MXM, what are your steps on 2) and 3)? You got different answers than me. 2) f(x) = ln(5t)^3 = 3ln(5t) = 3ln(5) + 3ln(t) f'(x) = (d/dt)3ln(5) + (d/dt)3ln(t) = 3(1/t) = 3/t 3) f(x) = 2x^(3/2) f'(x) = (3/2)2x^(1/2) = 3x^(1/2) 12 = 3x^(1/2) 4 = x^1/2 ............ X^1/2 = square root X, therefor square both sides 16 = X +-16 for slope of 12
I started calc I this year, never having done any pre-calc. Your calc homework is very similar to mine. and i can't do mine either. we should start a study group or something.
ah, woopsey, sorry for giving the correct scientific answer. i totally didn't even notice the formula as the question seemed straight-forward. it's been so long since i had to mess with formula's like that, i can't even begin to care. what are you doing this crap for anywho?
a degree in economics or business requires taking a year of calc But I digress, when I used the gas laws to answer a question about pressure the teacher said "sorry, need to use math, not science." I found it rather humorous actually... Noelani, we're in the same boat. I never took pre-calc and took my last math class that used algebra 2 years ago. I'm not only learning calc but I'm stuck re-learning a lot of the old algebraic tricks. But sure if you've got a HW problem you can't figure out feel free to send me a PM, I'll see what I can do with them.
3) Find all points where the graph of y=2x^(3/2) has a slope of 12. the derivative dy/dx=3x^(1/2) 12=3x^(1/2) 12/3 = 4 = x^(1/2) if x=16, 16^(1/2)=4 The square root of (-16)=4i, where i is (-1)^0.5 The answer therefore is only x=+16 Good questions though...
um, doh?! whoops. Yeah you are correct. Can't believe I missed that... The graph doesn't have anything on the negative side at all. They are all non-real answers.
2+2=4!! As long as I can add up the number of cars I have in my garage, I don't want to do any other math for the rest of my life. Just hoping to get thru this and next semesters stat and accounting.
I am sick of Math. I have taken these math classes over the last couple of years. Inter. Algebra College algebra Pre calc Trig Engineering Calc I Engineering Calc II Engineering Calc III Differential equations Statisitics Still have to take computational methods
If you made it through the others OK you'll be fine in computational methods. Forward, Backward & Central Difference methods, Fourier series, all of it builds on what you've already learned, and isn't as difficult as learning the original concepts, IMO. If you have time before graduating, a course on Partial Diff Eq, Linear (Matrix) Algebra, and/or Complex Variables, could help you see better how all of the above classes are interelated together and the how some of the monster equations in Mech Eng are formed. Good to see another enigineer around.
I didn't have any trouble with any of it.There just so much of it.I am currently taking Statics, Thermodynamics, and Econ.