Recent content by baki

I've tried that and there are 2 values of k, but don't you think when it says it has exactly one solution than it means k should have one value.

1.Determine the value(s) of k for which the system of linear equations x + 2y = 1 (k2)x - 2ky = 2 has exactly one solution 3.How do i solve this, i tried the 2x2 matrix whereby, i had |1 2| |k2 -2k| and tried to make [2 and k^2 = zero] and [-2k = one] But I can't seem to solve it completely...

1. The flow of traffic (in vehicles per hour) through a network of streets is shown below. The diagram shows : 200 and x2 is entering junction 1 and x1 is leaving the junction. Junction 2, 100 and x1 is entering the junction and x3 is leaving the junction. Junction 3, 200 and x4 is leaving...

oh YES solved! other than simplifying we can just substitute 0, right?

so then I would have to multiply it with (\sqrt[3]{x+1})^2 + \sqrt[3]{x+1} +1 and then do the same with the numerator?? is it?? and afterwards derive it?

sorry I was wrong, the hint is: a^3 - b^3 = (a-b)(a^2 + ab + b^2) Ok, I did L'hopitals rule to derive the formula, until I am able to get a value from substituting zero in place of x. My answer came to 1/3. But still the hint had nothing to do with it. Are you saying for me to do the...

1. Evaluate 2. lim χ→0 [((χ+1)^1/3) -1] / χ 3. The hint is [a^2 + b^2 = (a+b)(a^2 + ab + b^2)]. But i don't get it how can that help me solve this because it is a cube root and not to the power of 3. Without thinking about the hint, I have attempted it and i think it is undefined for the...