All Answers 358481 Answers

First get the tangent slope at x =  π/4

Slope = dy/dx = 5(tan(x)^2 + 1)    tan( π/4) = 1, so slope at x =  π/4 is 5*2 = 10

The slope of the normal is -1/the tangent slope, namely -1/10

The equation of the normal is therefore y = -x/10 + c where c is a constant, found from the fact that the line goes through the point ( π/4, 5tan( π/4)-3)  or ( π/4, 2)

2 = - π/40 + c so c = 2+ π/40  

equation of normal:  y = -x/10 + 2+ π/40

This should help for 4.

.

For 5. differentiate V(h) with respect to h and set the result to 0 to get the values of h at the turning points (it might be an idea to plot a graph to see which is at the minimum and which at the maximum).  Then substitute these values back into V(h). 

Like so:

.

(x+2y)^2≤-3

(x+2y)^2+3≤0

there is no solution may be you forget to wrote smth.

for the question that ninja devo asked it is 11,900 people it is simple. you just do 17000 times 0.30 = 5100, then you do 17,000 - 5,100= 11,900

Thanks guys(Or guy, if you are the only person replying twice)!

Do you have a specific series in mind?

csc = 1/sin = hypotenuse/opposite = 3/2  so (taking hypotenuse = 3 and opposite = 2) adjacent = sqrt(3^2-2^2) = sqrt(5)

Hence tan = opposite/adjacent = 2/sqrt(5).  However, since we are in the second quadrant, tan is negative so tan = -2/sqrt(5).

2b.   Slope = (x^3 - 8)/(x - 2)

2c. Use l'Hopital's rule:  \(\lim_{x\rightarrow2}\frac{x^3-8}{x-2}\rightarrow \lim_{x\rightarrow2}\frac{3x^2}{1}=12\)   where both numerator and denominator have been replaced by their respective derivatives.

2d.  Tangent line:  y = mx + c.  m = 12 from part 2c, so  8 = 12*2 + c  so c = 8 - 24 = -16

       Hence y = 12x - 16

14a and 14b  Look again more carefully!

14e Approaching zero from the negative side:  Looks like it's tending to 0.

14f Approaching zero from the positive side:  Looks like it's tending to +infinity

First convert the nanometres to metres:  590nm = 590*10^-9 m = 5.9*10^-7

frequency = 3*10^8/(5.9*10^-7)  = (3/5.9)*10^15  =  0.508*10^15 = 5.08*10^14 sec^-1

it will

Since they share a common denominator you're able to add them together giving you an answer of (4x+15)/12. It is not able to be simplified any further.

Please note: According to the wonderful status of the members of the forum (thanks Admin), we all can tell Allycat2 is a member (not a moderator or admin) and has no power to kick/ban people.

Bree?

*looks around the whole forums trying to find Drew Brees, New Orlean Saints QB*

Me-Drew, where are you? I got your one and only Super Bowl Ring, if you don't come out of the forums, I guess I'm going to give the ring to the real G.O.A.T. of the 21st Century-Peyton Manning. 

Please note, for any that favor Tom Brady for GOAT, stratch him off the GOAT table because he deflated footballs to get his 4th ring and also spy gated to earn a perfect regular season. 4 rings isn't enough, because that's team achievement. Unlike Brady, Peyton Manning is better individuality over the years, as he broke many NFL records, and he truly deserves 4 rings, and Brady only deserves 1 or 2 (also, the only reason Brady got his first 3 rings were because of last second field goals by Adam Vinatieri, and the 4th because of Pete Caroll calling a bad fatal play). Oh yeah, and Peyton's brother Eli beat Brady twice in the Super Bowl.

GOOOD!!!!!i was afraid none did....ill search your name.p.s.my name is..Thomas12315....ill freind you

Ahem, when it comes to bullying, you really have to think about the people available to talk to when getting bullied. You need to TELL PEOPLE YOU CAN TRUST AND YOU KNOW THAT WILL PUT THIS TO AN END!(I capitalized the words in case anyone was too lazy to read the whole thing) It doesn't make any sense when, let's say, you tell your science teacher what happened, but the science teacher either A: doesn't give a dirt about what happened, or B: actually thinks the bully is cool and thinks you're making stuff up to get him/her in trouble. For me, the only people I ever talk to are my parents, cuz most of the teachers don't give a dirt, the yard duties/cross guard people are to busy catching kids for more MINOR rule breaks, and principals for me, they always make me guilty, in other words, they're bad lawyers. But parents these days from experience from the "good old days" seem to know, and sometimes relate to, the same exact situation and actually do something to help the young out.

how is that weird Hayley1?...which part??

1/26 was also my birthday 

4,505

8.246

1.5 + 3.8 + 1.3 + 1.6 + 2.9 + 1.4 + 0.9 + 2.3 + 8.4 + 1.3 = 25.4

25.4 / 8.4  ≈ 3.02 or 3

M.A.D. = 3.02 or 3 (depends how you need it rounded)

I hope this helped!

Oh okay, thank you, I understand it much better now!