Main Equations

Given the following constraints:

Constraints

So, is there a solution for minimum value for Z, using Lagrange multipliers

I can’t solve it

Help with trigonometry please]]>

y = (x + 1)^2 - 4]]>

I have been given the following information

Acceleration - 2s

Decelleration - 3s

Total Time -9.5s

Distance - 8509mm

Obviously I know that I must be at full speed for 4.5s based on the above. I need to find the acceleration, deceleration and maximum speed in mm/s (or mm/s^2). Also what about on occasions where we might never achieve full speed?

I know I have done this before but for some reason (I blame being cooped up!) I cant get my head around it.]]>

Let \(\displaystyle k = 1\) or \(\displaystyle 2\) then by the definition above \(\displaystyle E^{c} = \){\(\displaystyle m \in R^{k}\) : \(\displaystyle \forall m\) \(\displaystyle \in Z+, m \neq \frac{1}{m^{2}} \)}

From here, we can define a cluster point and, apply it...

0 is a cluster point of E^c]]>

feature of linear equations]]>

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Part 1) Assuming only one emergency can happen in one year on a ship. What is the probability of a ship experiencing one emergency situation that lasted for 30 mins happening during the ship’s one year of operation?

Formula: Probability = one instance event / total number of possible.

Answer: Probability of experiencing one (30mins)emergency situation in a year = one such event x 0.5hours / (365days x...

Probability of an event]]>

I need to make Q the subject of the formula below, can anyone help me with a solution, perhaps even the process to get to the solution.

Many thanks in advance, this one has got me confused.

Kind Regards

Steve]]>

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Finding the angle of a pendulum's period with unusual units:]]>

I'm stuck and I can't solve one problem. I've been trying for a few days and have no more ideas.

The sum is defined by: s

Find simplified expression for the following: t

I've come to the point:

t

Where I've calculated -1 from the formula for the sum of the infinite geometric sequence...

Sequence simplification]]>

I have an equation of a parabola \(\displaystyle y^2=\frac{128}{19}x\) and I have a line at x=9.5 I want the distance from x=9.5 to the parabola to = 3.6m

how do I achieve this? I have this graph if it helps.. https://www.desmos.com/calculator/39ppyiysk2]]>

The MidasSword has 290 BaseDamage and gives 215 Strength to the player.

The EmeraldBlade has 130 BaseDamage and gives 60 Strength to the player.

The EmeraldBlade also has a special ability: It gains AdditionalDamage based on the amount of money the player has in their purse. The formula for this...

Tricky Sword Damage Problem]]>

Rewrite this function in the vortex form.

f(x) = x^2 + 2x - 3

f(x) = x^2 + 2x + 1 - 1 - 3

f(x) = (x + 1)^2 - 4

The vortex is (-1, -4).

(1)

Comparing (1) to the standard vertex form

f(x) = (x - h)^2 + k

The vertex of function is at (h, k) = (-1, -4).

To find x-intercepts, put f(x) = 0

0 = (x + 1)^2 - 4

—> (x + 1)^2 = 4

Square root on both...

Functions]]>

explain how the chance may change as more people are assigned jobs and also if you'd have better or worse chance being on all apps or just on one.

30 people are logged into App A waiting for a job at any given time, and the app is assigning 10 jobs at any given moment .what would your chance be of having 1 job assigned to you?

30 people are all...

Trying to calculate chance of winning a job on multiple apps.]]>