Recent content by Steven60

Your given matrix has 4 numbers in each column. That is each column is in R^4. So how can the span of {(1,0,-13), (0,1,-4), (0,0,1)} be subset of R^4?. You need to get your definitions done perfectly before you can solve these problems.

Also I feel that you were lucky that the complex roots come in conjugates pairs! If one root is 4+3i, the one factor must be [ x - (4+3i)], not [x-4+3i] as you wrote. Also there is a much better way of multiplying [ x - (4+3i)] and [ x - (4-3i)]. Write [ (x-4) + 3i ] * [ (x-4) - 3i]. Now...

Always think! What numbers can I put in for x so |x| is less than 4. I like to think and teach that the absolute of any number is that same exact number but without a sign. So in |x|<4 we are asking which number or numbers, if any, when we ignore the sign will be less than 4. I will give you a...

Thanks for your replys. I actually worked this out myself and actually did the same exact steps as UltrafastPED.

I have a question about a spring gun. Suppose the barrel of a spring gun is placed horizontally at the edge of a horizontal table. You put say a marble in the barrel and compress the spring x cm and after releasing the marble it travels a horizontal distance of y cm before hitting the floor (so...

If u = t^2 then du is not 2t and dv is not e^-t

Suppose you drive your car into a wall at the rate of 50 mph. Would the damage to the car depend on whether you were accelerating to 50 mph verus a constant speed of 50 mph? What if there was no running engine on impact? Thanks