thank you guys, when I woke up this morning and having looked at a few other problems I arrived at the same solution as HallsofIvy, I then removed the (x-5) and substituted the x for 5 and i got 40 as the limit I think.
having problem solving a limit!
Homework Statement
Solve the following limits algebraically.
lim x->5 x^2 - 25 / √(2x+6) -4
Homework Equations
The Attempt at a Solution
i've tried a different few ways.
so by factoring the top i have (x+5)(x-5) so i get x=5 or x=-5...
Homework Statement
prove that if 0<a<b, then
a < \sqrt{ab} < (a+b)/2 < b
Notice that the inequality \sqrt{ab} \leq (a+b)/2 holds for all a,b \geq 0.
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the linear algebra problem is
Let V be the set of pairs (x,Y) of real numbers and define a modified...
well i think the expences will be 8 dollars per person so 8(2000+200x)
the profit before expenses will be... (40-2x)(2000+200x) ??
so overall profit will be mmm P = (40-2x)(2000+200x)-8(2000+200x) ?
man, optimization problems are so tricky...but i can't give up, worth a lot of marks hahaha.
Homework Statement
Currently 2000 people attend performances of The Sound of Music if tickets cost $40. Expenses are $8 per person in attendance for each performance. For each $2 decrease in the ticket price, 200 more people attend. Calculate the ticket price that produces maximum profit...
Homework Statement
A new cottage is built across the river and 300 m downstream from the nearest telephone relay station. The river is 120m wide. In order to wire the cottage for phone service, wire will be laid across the river under water, and along the edge of the river above ground. The...
Homework Statement
A study has determined that interactions at a large social party follow the mathematical progression N(t)=30t-t^2 , where t is the time in minutes since the party began, and N is the number of separate conversations occurring. At what time in a party do the most...
ah! you re totally right, i have seen the mistake and fixed a) b) and d) , thank you so much for the help!
the other 2 I am just going to go with what i have, it is completely cool, thank you very much again for the help!
Homework Statement
ok so this is going to be divided into 2 parts, 1st is related to First Principle to obtain the derivative,the 2nd part is about obtaining equations of the tangent.
I'd like to apologize for not being able to write the equations and my work neatly as other threads seem to...
o the thing about the centripetal equations is that the lesson was using them for explaining on how to obtain certain variations with T and f equations, so i tried everything but to no avail.
Dude i could kiss you! well metaphorically speaking hahaha, here is my work and well i hope this can be...
Homework Statement
A satellite is designed to orbit Earth at an altitude above its surface that will place it in a gravitational field with a strength of 4.5 N/kg.
a) Calculate the distance above the surface of Earth at which the satellite must orbit.
b)Assuming the orbit is circular...
Homework Statement
Prove that the maximum speed (Vmax) of a mass on a spring is given by 2PifA
f=frequency
A=amplitude
Homework Equations
ac=v^2/r
T=2Pir/v
ac=4 Pi^2 r / T^2
T=2Pi sqrt(r/ac) , T=2Pi sqrt(A/ac)
-x/a=m/k
T=2Pi sqrt(-x/ac) , T=2Pi sqrt(m/k)...
yes i understand how the equation was obtained, but I'm in the process of learning so i might think i know but i might not know at all.
anyways what books on classical physics for around grade 12 and perhaps beyond would you recommend that explain it well and are reasonable to understand??