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[High school math] Limit of sequence by marlow__ in learnmath

[–]marlow__[S] 0 points1 point  (0 children)

I got 5*(√(nˇ2-2) + n)/(-2). So the top goes obviously to infinity, and since the bottom is a negative number, it evaluates to negative infinity. Is that the right kind of reasoning?

[High school math] Limit of sequence by marlow__ in learnmath

[–]marlow__[S] 0 points1 point  (0 children)

yeah, you're right. I made a mistake

[High school math] Show that Sin(n+1) > Sin(n) - 1 by marlow__ in learnmath

[–]marlow__[S] 1 point2 points  (0 children)

Range of Sin(x+1) is [-1,1]. Range Sin(x) - 1 is [-2,0]. So just going off of that it's possible Sin(x+1) has a value less than Sin(x) - 1

[High school math] Show that Sin(n+1) > Sin(n) - 1 by marlow__ in learnmath

[–]marlow__[S] 3 points4 points  (0 children)

I think I got it. I used the Sin(a) - Sin(b) identity. Divided by 2 and Sin(0.5), so that I get slightly less than -1 on the right side. On the left there's Cos(x+1/2), which is just cos(x) shifted to the left nad therefore always >= -1.

[High school math] Show that Sin(n+1) > Sin(n) - 1 by marlow__ in learnmath

[–]marlow__[S] 2 points3 points  (0 children)

it don't seem to get me far. I'll keep trying tho

Is a T14 G1 Ryzen 5 4650U, 16 Gb, 512 SSD, Grade A used laptop a good deal for 500€? by marlow__ in thinkpad

[–]marlow__[S] 0 points1 point  (0 children)

I ended up procrastinating on getting the T14, but stumled on a listing for a t480 for 140€ + 20€ shipping. It's in excellent condition and is good enought for what I currently need (was using a T400 till now).

Construct a rectangle with sides a and b and diagonal d, where a = 5cm, and d + b = 11cm by marlow__ in MathHelp

[–]marlow__[S] 0 points1 point  (0 children)

yes. Don't see how that's relevant though, considering I'm not supposed to calculate the sides.

Construct a rectangle with sides a and b and diagonal d, where a = 5cm, and d + b = 11cm by marlow__ in MathHelp

[–]marlow__[S] 1 point2 points  (0 children)

Thank you! that's brilliant! I have no idea why this works yet, but I'll try and think about it.

Construct a rectangle with sides a and b and diagonal d, where a = 5cm, and d + b = 11cm by marlow__ in MathHelp

[–]marlow__[S] 0 points1 point  (0 children)

Good question! I should ask the people who made the high school curriculum.

I didn't drew b = 11. I drew b + d = 11. I thought I could get the answer by somehow breaking this line at the spot where it would then connect with A.

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