tj_314

I'm in the market for a new work machine. I realized that many laptops these days (especially lenovo and hp ones) have cooling exhausts configured in such a way that the hot air blows directly onto the dispay. Essentially, the exhausts are located in the hinge area. I am concerned about the longetivity of such approach. For the sake of discussion, let's consider a specific laptop (one that I'm interested in) https://lnv.gy/2N0Fhcn . The config I am interested in is 1080p display, i7-8550U , RX-550, 8GB ram, 256 pcie ssd. I care about serviceability and longetivity. I am not interested in buying a new laptop every five years, especially because it will run Linux most of the time. So, about the cooling. A couple of points: While I am aware that the cpu tdp is just 15W (and in my workload the discrete gpu will only be used once or twice a week, so the temps of the air blown towards the display won't be too crazy), I do know enough about displays to be sure whether it's a problem or not. Also, I am unsure how the heat affects adhesives in the display area (or general lid area). In my old sony vaio, the display cable was secured in place with a bit of sticky tape. I imagine the heat from the fan in this thinkpad would eventually soften such adhesive and unglue it. What are your thoughts on this? Should I be concerned? Or am I just overthinking this?

I do not quite understand what you're asking in the first question, though.

more readeable form: (1) -x2 + 4x + y - 2 = 0 (2) x2 - y + 2 = 0 --> y = x2 + 2 ====================== -x2 + 4x + y - 2 = -x2 + 4x + (x2 + 2) - 2 = 4x = 0 --> x = 0 y = x2 + 2 = 02 + 2 = 2 intersection at [0, 2]

for your second exercise: To find an intersection between two curves means to find all points that belong to curve 1 and curve 2 at the same time. It basically means that you have to solve a system of equations. In your case the two equations are the parabolas you provided. From the second equation, you get y = x^2 + 2. you plug it into the first equation and you get -x^2 + 4x + x^2 + 2 - 2 = 0 which simplifies to 4x = 0 and therefore x = 0. There is only 1 intersection point at x = 0. now, you just calculate y value from any of your two equations. since we already know that y = x^2 + 2, we get y = 2. The intersection is at x=0, y=2.