Value Definition and 1000 Threads

Mass of a book of type X = 40g; Mass of a book of type Y=80g; The total mass of n books of type X and one book of type Y is less than 200g; i. Write down an inequality containing the variable n only. ii. Solve the above inequality for n and write down the maximum possible value for n So how...

Homework Statement The function ##f(x)=2a^2x\left(x-a\right)^2## intersects with the line ##y=ax## at the origin, point ##Q(b,f(b))## and point ##T(c,f(c))## where ##c>b>0##. A probability density function, ##p(x)=ax-f(x)## can be formed over the domain ##[b,c]##. (a) Determine the exact...

(Mentor note: moved from another forum hence no template) For what value of the constant c is the following function continuous at x = −3? f(x)=(1/x+1/3)/(x+3) if x≠ -3 f(x)=c if x=-3please provide proof... I am so confused:(

Hello, I am finding this questions quite difficult, can someone please offer some insight as to what needs to be done. Do we need to do limit tests to the left and right of x = 7?

Upto what maximum height, value of g remains equal to 9.8 or close to it. g = GM/r^2 And g' = GM/(r+h)^2 = g/(1+ h/r)^2 Therefore when h ≥ r , g' decreases Again if h < r , g' agin decreases BUT I want to know what is the maximum height at which g' ≈ 9.8 From my calculation maximum height...

How do I determine the value of a blocking capacitor for say this circuit: What I mean is, sure Cin must behave like a short circuit at working frequency, but something tells me there is more to the choice of a coupling capacitor than this.

Any ideas ? (Tauri)

Considering the expansion of $(x-y)^3$ , Find the value of $2\left(24^3-3*24^2*4+3*24*4^2-4^3\right)$ Any Ideas on how to begin ? (Mmm)

Hi, For school we are currently working with heterogeneous equilibria. I am given a salt that will be solved in water and I have to calculate the concentrations of the ions. I have to use the solubility product for this. In the Netherlands we are provided with a reference book that has all...

With full working, find the only value of N which satisfies ALL of the following conditions. N is a natural number 10<N less than or equal to 20 N is even N/4 is an integer Square root of N is an irrational number N is a multiple of 5 Does anyone understand this question and could work it out...

If Bob had $150 more in his savings account, he would have five times as much saved as he currently has in this account. How much does Bob currently have saved?

Homework Statement My professor said that we needed to acquire a program that can solve the equation: I have not had any success. Can anyone point me in the right direction? Homework Equations 73.09 < (N3N5)/(N2N4) < 73.11 The Attempt at a Solution

Using a graph of function $y=3-(x-1)^2$ which has got its negative & positive root s-0.8 and 2.7 respectively, Find an approximate value for $\sqrt{3}$. Any suggestions on how to begin? Should I be using the quadratic formula here? Many Thanks :)

So it's been such a long time since I studied statistics at school/college/university that I'm rusty to say the least and hoped you guys could help me out with this. Something is telling me that these two games must have a different value despite being similar, but if you brilliant folks could...

All I see is the three angles of the triangles equal. Any Ideas on how to begin ? Many Thanks :)

If x-y= 1 & x2y - xy2 =2, Find the value of x2+y2 Any Ideas on how to begin? Many Thanks :)

Homework Statement Uxx - SU = A ; 0<x<1 Boundary conditions : Ux(0) = 0 U(1) = 0 The Attempt at a Solution I tried to set a new variable W = u + A, I can get rid of the A in the main equation and U(1) becomes = 1. If I set U= C*esqrt(S)x into the equation, its a trivial solution because of...

Homework Statement Homework Equations (n-2)*180[/B]The Attempt at a Solution 11.a: 7-2=5, 5*180= 900. 900/7= 128.57 degrees b. How do you find the unknowns?[/B]

In general, engineering and scientific disciplines (including mathematics) have a theory wing. Commonly I encounter people in the trenches who seem to think theory is useless and that only heuristics get things done. I'm fairly sure this is false, but I want to know what other people think. I'm...

I need to use the maclaurin series to find where this series converges: $$\sum_{n = 0}^{\infty} (-1)^n \frac{\pi^{2n}}{(2n)!}$$ But I'm not sure how to do this.

I find in SQL Server, sys.indexes contains an is_unique column and sys.key_constraints contains unique_index_id. Could you help confirm me that the unique_index_id value in the latter is also the index_id value of the former when its is_unique becomes true or 1 ? Thank you.

$a,b,c$ are lengths of $\triangle ABC$ if: $(1) :s=\dfrac {a+b+c}{2}$, and $(2) :$ the area of $\triangle ABC=1$ find the minimum value of $(s-a)^3+(s-b)^3+(s-c)^3$

Find the value of angle X 'BC & CD pints are on BE side of triangle ABE. Find the Value of angle X' :)

Use laplace Transform to solve this ode: So I got: sV(s)-V(0)-12V(s)=U(s+5) V(s)(s-12)=U(s+5)+1 V(s)=[U(s+5)+1]/(s-12) Now to go back to time domain with Inverse Laplace Transform...My question is, how to transform U(s+5)/(s-12)? Any help? Thanks guys

] I found in a textbook that the value does not change because the centripetal force is perpendicular to the tangential velocity. But I am confused, because a vector can have a component, which is perpendicular to the vector. So if the centripetal force is perpendicular to the tangential...

Hello, I am new with sigma and can't figure the below out, please help me. \sum_{i=0}^{n}i=n(n+1)/2Thanks a million.

Homework Statement X and Y 2 real numbers / |x| <1 and |y|<1 Prove that |x+y|<|xy+1|Homework EquationsThe Attempt at a Solution |x+y|<2 I couldn't prove that |xy+1| >2 And couldn't find a way to solve the problem Please help

Homework Statement I am trying to evaluate double integral ∫∫D (|y - x2|)½ D: -1<x<1, 0<y<2 Homework Equations None The Attempt at a Solution I know that in order to integrate with the absolute value I have to split the integral into two parts: y>x^2−−−>√y−x2 y>x^2−−−>√y−x2 I just can't...

Homework Statement Two coencenteric metalic shell has inner radius $r_1$ outer radius $r_2$. We place along axis infinity wire has $\lambda$ charge in per unit length. The inner region of metalic shells inserted with relative permabilitty coefficent $\epsilon$. This system rotates with $\omega$...

For f(x) = (x-1)^2(x-a) Find the exact value of a such that the local min lies on the point with equation y=-4x

Homework Statement Homework EquationsThe Attempt at a Solution Negative ∆H means that the product is more stable. Change from solid to gas requires energy so cancel out A and C. Reaction D doesn't make sense. The products of reaction B and E are more stable than the reactant because there is...

I'm looking at fe ionisation. Wherever I look I get similar values. Probably because everybody just keeps reusing published values... I think the value for the 24 th level is incorrect but I'm not sure how to validate this. The published value is 195200 but I think it should be more like...

Homework Statement ' Here is the given problem Homework EquationsThe Attempt at a Solution a. For part a, I felt it was not continuous because of the sin(1/x) as it gets closer to 0, the graph switches between 1 and -1. Then I felt it might be continuous, therefore I am not sure. b. For part...

find minimum value of $f$ given : $(1)a,b,c,x,y\in R^+$ $(2)x+y=c$ $(3)f=\sqrt {a^2+x^2}+\sqrt {b^2+y^2}$ find :$min (f)$

Homework Statement I need to show the attached function satisfies the Intermediate Value Property. Homework EquationsThe Attempt at a Solution I looked at the property definition, but I am really unsure what is being stated. I think if I knew what the property was stating, I could do the problem.

Homework Statement Consider a two-state system with a Hamiltonian defined as \begin{bmatrix} E_1 &0 \\ 0 & E_2 \end{bmatrix} Another observable, ##A##, is given (in the same basis) by \begin{bmatrix} 0 &a \\ a & 0 \end{bmatrix} where ##a\in\mathbb{R}^+##. The initial state of the system...

Homework Statement I was given the problem of determining if the Converse of the Intermediate Value Theorem in my book was true. Below is my theorem from the book. Homework EquationsThe Attempt at a Solution I had looked at the converse and tried to draw some examples, and I am thinking it...

Formula for Electrostatic Potential due to a point charge is V=1/4π∈ Q1 Q2/r This implies that at r=0 value of the potential should be infinity. Is it True. If that is the case then how we say the terminals of a battery having positive and negative charge are having definite value of...

I have the following equation: ##\left | r-5 \right | = \left | r+2 \right |##. What is a general, analytical way that I can solve equations like these? I always get stumped when trying to solve them...

Homework Statement Laplacian of the function V(x,t)=-1/2* x' D x + h' *x + D Homework EquationsThe Attempt at a Solution is equals D.

Hello! Could somebody please tell me how i can compute the expectation value of the momentum in the case of a free particle(monochromatic wave)? When i take the integral, i get infinity, but i have seen somewhere that we know how much the particle's velocity is, so i thought that we can get it...

Homework Statement Calculate 5-day 1% Value at Risk of a portfolio using Monte Carlo simulation. Homework EquationsThe Attempt at a Solution I've found an article explaining how to perform Monte Carlo simulation on portfolio returns therefore calculating the Value At Risk (pdf attachment)...

Hello! (Wave) I want to check if the following boundary value problem has a solution $\left\{\begin{matrix} -u_{xx}-4u=\sin {2x}, x \in (0,\pi)\\ u(0)=u(\pi)=0 \end{matrix}\right.$ I have thought the following: We consider the corresponding homogeneous equation $-u_{xx}-4u=0$. The...

Homework Statement The equivalent capacitance of the capacitors shown in Figure 21-41 is 9.22 microFarads. Find the value of capacitance C.Homework Equations Ok so this has to deal with Ceq, and it is a combonation of series and parallel circuits. Knowing this, I can use for series...

Production function Q(K,L) without equation However partial derivatives are given Partial derivatives: Q(K,L) = (K^2 - KL + L^2)/(K+L) + 4K . ln(K+L) Derivative to K Q(K,L) =( K^2 + L^2) / (K+ L) Dervative to L A. Calculate the derivative in point (10,L) If I am correct...

Homework Statement If the system is in a state |ψ> = 1/sqrt(6) |v1> + 1/sqrt(3) |v2> - i/sqrt(2) |v3> with Hamiltonian satisfying H|vj> = (2-j)a|vj> Find the mean value of energy <E> and the root mean square deviation √(<E2> - <E>2 ) that would result from making a number of measurements of...

I have a BVP of the form u" + f(x)u = g(x) , u(0)=u(1)= 0 where f(x) and g(x) are positive functions. I suspect that u(x) < 0 in the domain 0 < x < 1. How do I go proving this. I have try proving by contradiction. Assuming first u > 0 but I can't deduce that u" > 0 which contradict that u has...

It says in Susskind's TM: ##\langle L \rangle = Tr \; \rho L = \sum_{a,a'}L_{a',a} \rho_{a,a'}## with ##a## the index of a basisvector, ##L## an observable and ##\rho## a density matrix. Is this correct? What about the trace in the third part of this equation?

Homework Statement In the network of sinusoidal current, as shown in the figure, the current i2 is phase delayed for the angle of 3π/4 behind the current i. In the moments in which the current i2 is minimal, current value of current i1 is sqrt(2) A. This value is two times lower than the...

I used a function called ind2patch to make a big 3D block which contains a number of smaller blocks in 3 dimensions. Each small block has a value which the magnitude is represented by a color.One example is shown below: However, most of the boxes have very low or zero value and I don't need to...