Recent content by step1536

A tank contains 4000L of pure water. Brine that contains 30g of salt per liter of water is pumped into the tank at a rate of 25L/min. Show that the concentration of salt after t minutes (in grams per liter) is C(t) = 30t/160+t What happens to the concentration as t --> infinity lim C(t)=...

Correction: I did not ask YOU to do my homework for me. The reason why I chose this website was for assistance with questions that I am having difficulty setting up the problem so that I may solve it.

Find the value of delta that corresponds to 0.75. Give your value of delta where delta or any positive number will satisfy the conditions . give the answer correct to 3 decimal places, round down if necessary. lim (4+x-3x^3)=2 x-->1

If f and g are continuous functions with f(4)-5 and lim [5f(x) -g(x) ]=5 find g(4) x-->4

Use the given graph of(x) =x^2 |x^2-1| < 1/2 whenever |x-1| <delta .The Given points on the graph are(0.8,0.5), (1.2,1.5). Please give your answer to the value of delta, where deltaor any smaller positive number will satisfy all conditions. correct to four decimals, round down if necessary.

Use the given graph of(x) =x^2 |x^2-1| < 1/2 whenever |x-1| <delta .The Given points on the graph are(0.8,0.5), (1.2,1.5). Please give your answer to the value of delta, where deltaor any smaller positive number will satisfy all conditions. correct to four decimals, round down if necessary.

Given points (0.8,0.5), (1.2,1.5) f(x) =x^2 |x^2-1| < 1/2 whenever |x-1| <delta correct to four decimals round down if necessary

Use the graph of f(x)=x^2, find a number such that |x^2-1| <1/2 whenever |x-1| < delta. Correct to two decimal places, round down if necessary.

so x=1.85,2.15; then I would then subtract 2-1.85 and 2-2.15. my answer would be .15

I understand that part but how do you work the problem out?

How close to 2 do we have to take x so that 5x+3 is within a distance of 0.075 from 13. I am confuse on how to evaluate this problem.

If lim f(x) =9, then lim f(x) exists; to what value does it converge to? x-->5- x-->5

yes that is correct

I think I understand limits but this last question says that lim x=0 evaluate limx^6 cos 7/x I came up with 0 or would it be limit does not exist.

so I have 10<=2<=10 and the equations equals 10