What is the fastest and structured way to get maximum of abc if a+b+c=n, say n=30? a,b,c are non-negative and can be non-integer. |

p(x) = (3x + 5)(x^2 - t)

q(x) = (2x^4 - 7x^3 - 5) - (x^2 + 8x + 12)

If p(x) is congruent to q(x) , then the value of t is...

a. -10

b. -5

c. -2

d. 2

e. 10

I haven't figured how to do it. And if I posted this in the wrong subforum, please tell me.

Thanks in advance!

Sent from my CPH1803 using Tapatalk ]]>

Question:

Which positive real number has the property that ,, and form a geometric progression (in that order)?

(Recall that means the greatest integer less than or equal to .)

Please don’t worry about the solution, the program that gave this problem will show the solution when I put the correct answer in. I have no clue on how to solve this. ]]>

2d^2 -d-10= | d^2 -4d+3 |

d^2 +7d+10= | d^2 +2-15 |

Find d

The line in the middle represents division im not exactly sure how to use this website just yet. And the answer is 4 but im not sure how they got the answer except for plugging in values till the right one popped up ]]>

"Suppose

(Goes on to list problems)"

Is

I was requested to proof the following by induction:

I need to proof that

for every n greater or equal to 10.

So I tried to prove it with induction and second induction also

sadly any way I tried did not work

this proof is pretty crucial for me

I will be gald if some one can solve it and show me the way of solution

thanks everybody ]]>

(1-sqrt(1-4x^2))/x < 3

I put the conditions x different from 0 and 1-4x^2>=0 and I got [-1/2,0)U(0,1/2] which is the right answer but I'm confuse because I usually subtract 3 to get (1-sqrt(1-4x^2)/x - 3 < 0 then, after I made some work and I got a fraction, I find the variation of each function (from numerator and denominator) and in the final I find the sign of f(x) which should be negative in our case and like this I find the solutions, but I didn;t get the same result.I obtain [-1/2 , 0) ]]>

D <= 3^(2^(N-1))

Is this as simplified as the equation can get?:

((log * (log D / log 3)) + log 2) / log 2 <= N

Here is my logic:

log D <= log 3^(2^(N-1))

log D <= 2^(N-1) * log 3

log D / log 3 <= 2^(N-1)

log * (log D / log 3) <= (N-1)*(log 2)

log * (log D / log 3) <= (N*log2) - log 2

(log * (log D / log 3)) + log 2 <= N*log2

((log * (log D / log 3)) + log 2) / log2 <= N ]]>

a) Write down the position vector of P in terms of

b) Find position vector of M, the midpoint of AP.

Point Q lies on the vector OP. Let vector OQ=

c) Express vector BQ in terms of

a) Vector OP =

b) Vector OM =

c) Vector BQ = -

Vector QM = -

-1 + t = -1/2

t = 1/2

I got t wrong and don't know what else to do. ]]>

x < 5

and I wanted to apply log to both sides:

log x < log 5

I am new to this forum and I apologise if I have placed this question in the wrong place and will move it if needed. I have a formula that is written as f(x) = A*cos((2*pi*x)/T) , A being Amplitude of the Cosine wave and T being the period. when I put this into a sketching program the function preforms how I presume it should. The Question I have is that I would like to calculate the length of the wave between 2 points and I presumed this would use the integral method, how ever it's been a very long time since I've done any sort of math and it didn't work how I thought it would.

I inputted ∫ 10 , 0 10*cos((2*pi*x)/10)

as an example and got an answer of

100*cos((x*pi)/5) which is not what I was expecting.

If anyone would be able to help me in the right direction it would be really appreciated, I am sure I am just missing some information along the way.

Thankyou :) ]]>

So I am working through a problem for my meteorology class titled as "dynamic meteorology".

I am asked to solve the total mechanical energy of an air parcel at sea level

when I am given

3 variables:

Density: 6.6 kg/m^3

Volume: 15.0 cm^3

Deflected South at: 6.8 km/hr

So, I understand that total mechanical energy is Kinetic Energy + Potential Energy

I think I can calculate Kinetic energy sinec it is 1/2mv^2

So, I can work out units and multiply volume by density to get mass, then multiply

that by the velocity squared. But I am not sure how to calculate potential energy.

I know there is the PE = mgz equation, where m is mass and g is gravitation constant,

but I am not sure how to get the z value from the info given.

Can anyone help?

Thanks in advance! ]]>

Any help would be gratefully appreciated

Question from my A level maths text book

Solve this pair of simultaneous equation by eliminating either the terms in x^2 or the terms in Y^2?

X^2 +Y^2 -3X =9 (Eq 1)

X^2 - Y^2 +X + 4Y = 3 (Eq 2)

Adding both together

2X^2 -2X +4Y =12

Second attempts Now I get this

2x^ -2x -12 = -4y

2x^2 -2x -12 /-4 =y

-1/2x^2 - 1/2x -3 =y

Therefor

x^2 +(-1/2x^2 -1/2x -3)^2 -3x = 9

Is this correct so far?

Second attempt

Multiply equation 2 by 3

3X^2 - 3Y^2 +3X +12Y = 9

Eq 1 =Eq 2

3X^2 - 3Y^2 +3X + 12 Y = X^2 +Y^2 -3X

3X^2 - 3Y^2 + 3X +12 Y - X^2 -Y^2 +3X =0

3X^2 - X^2 +6X - 3Y^2 - Y^2 +12Y = 0

2X^2 +6X -4Y^2 +12Y = 0

X^2 + 3X -2Y^2 +6Y = 0

X^2 +3X = 2Y^2 - 6Y

Can not get x or y on its own

I can not get any further, I have tried for many hours, I have solved 17 equations on the page of my text book but I seem to be stuck on the last one

Would appreciate any suggestions

Many thanks in advance

Barry ]]>

x= t

By rearranging the first for t and substituting , i get y = 0.5x^(3/2)

If i plot this i only get half the graph compared to the parametric form,

should i express this as y= +-0.5x^(3/2)?

Or should i avoid this completely by raising both equations to the same power of t ? In this case i get y^2 = 0.25x^3

Whats the correct answer and approach? ]]>

To better describe the problem I have uploaded here:

https://docs.google.com/document/d/1...it?usp=sharing

Feel free to ask any questions.

Any help is appreciated! ]]>