5

| vet 9 dt u = V et 9...

Question

| vet 9 dt u = V et 9

| vet 9 dt u = V et 9



Answers

Let $\mathbf{u}=\langle 3,-4\rangle, \mathbf{v}=\langle 1,1\rangle,$ and $\mathbf{w}=\langle 1,0\rangle$ $$\text { Find }|\mathbf{u}+\mathbf{v}|$$

For number 25 were given two vectors this time in coordinates Notation. So remember what this means. This is so vector. You is 10 in the positive horizontal direction one in the negative vertical direction. I'm gonna do a little graphic of this year, so 10 positive and then one negative. And we're to find the magnitude of the so that would be this soon. Tell you're using Pythagorean theorem to get that so you would be square root since you do a scripless B squared equals c squared, but we don't want c squared. We just want to see So that's what we're taking square root. So 10 squared plus negative one squared when I square that the negatives going to go Um so I have 100 plus one. So this will be the square root of 101 for V. I'll do a little graphic of that too. So my horizontal is negative two and then my vertical is also negative too. So I'm trying to find the value this but they're there. So the magnitude of e we'll be the square root of two squared plus two squared. Remember, the negatives won't matter is this four plus four. This would be the square root of eight. But I could simplify that because that I could pull out. Um, it's great to four times word to And the fourth perfect square sort comes out so I can call it too squirted to I'm not gonna draw the graphics anymore, huh? So for to you, let's figure out what to you is first. So this is you just need tool. So 10 another 10. So it's gonna be a 20 and negative one. Another negative one would be a negative too. So now when I do the magnitude of that 20 squared plus two squared, we can think that was negative. Two squared. So 20 squared this 400 close for so 404. I could pull perfect square four out of that. So if I pull for all of them, that's four times 101 for the perfect square. So this could be too. It sounds a square root of 101. I'm here first. I'll figure out one half of the so the V is negative. Two *** to one half of the would be negative one negative one. So now if I want to find the magnitude of that one squared plus one squared negative one square, negative one square. So one squared plus one squared is too. So this is square to to next commute him adding, First the first We'll just figure out what you plus movie is. So you plus a fee attending the negative to we ate just adding those together. So that's eight in the horizontal direction and then in the UAE and negative one and a negative too. So it's gonna be a negative three. So now if I want to find the magnitude of that during put the green serum So this is gonna be the square root. 08 square plus three squared. So this is 64 plus 9 64 Chris nine is 73 and I can't simplify that. So we're done over here. First of figure U minus V is so 10 minus negative, too will be 12 and the negative one minus negative too, will be a positive one. So now to find the magnitude 12 square plus one square, so I have 144 plus one. So 145 square root of 1 45 And I don't think I could simplify that last one for this. And you, the magnitudes first before I subtract him. So let's find the magnitude of you. So you was 10. And like the one so 10 squared, plus negative one square. This is 100 plus one So screwed of 101 and now main should've V these negative to negative two so negative to square, plus negative to square. So I got native tubes of 448 Remember I did this. What? I didn't appear before when I got eight that turned out to be to squirted to So now it would subtract. So now the you my interview Medicine Magnitude of e so square root of 101 minus two square root of two

In this question of actor really have gorgeous because the medical stroll by this guy dynasty Okay, so we have to calculate more juice off activity. That G minus 11 square, minus one square. That's my this one square. Okay, so that would be actually possible yesterday. Bizarre on circulation from this question.

Cueva nine and they're telling us are is 100 alms. Ls five Henry's and the voltage is constant at 10 volts. So I have D. I. D. T. He calls 100 you know plus 100 over five. I Equals 1/5 times 10. So D. I. D. T. Plus 20 i equals two. So the integrating factor eat the integral 20 d.t. Just 20 T. Uh sorry e. to the 20 t. So the left hand side turns into eat the 20 tee times I. Prime On the right hand side to eat the 20 teeth, integrate both sides. So on this one if you is 20 teeth and EU is 20 DT so I need a 1/20. So eat the 20 t. i equals 1 10th Each of the 20 t. Plus C. So I is 1/10. Let's see Over eat the 20 t. Um We are given that I of zero equals zero so zero equals 1/10 plus C. Over each of the zero so C. Is 1/10. So I is 1/10. One plus one over. Eat the 20 T.

On this question you has given us eight. I envy has given us two and 23 I minus two, which will be equal to six a minus for the another. I love you. Plus, we will keep Carletto eight A plus 16 minus 40 should be called for until I minus four. Similarly, Riemann issue will be called to six. I minus four. See? Buying us eight I It will be equal toe minus two way minus four j similarly to human three, we will be equal to to to wait. I minus 3 to 6. I minus would to this will be quarto 69 minus 89 plus 12 g. This will be called to minus two way plus 20.


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