# including

1. ### on all investments including solar panels

Ohio State vs Indiana Live Streaming
2. ### Proof including inverse trigonometric functions.

Prove that: arctan(x+y)<y+ arctanx y>0, x real number. I don't know even how to start, usually with problems like this i use Rolle's or Lagrange's theorem but here, i can't prove it that way.
3. ### Including geographic coordinates in Mahalanobis distance calculations

Hi there, Let me give you a little background on the problem. I am working on a quasi-experimental design and I need to match each treatment with a control that is 1) geographically close and 2) exhibits similar total energy consumption throughout the year. My first approach was to define a...
4. ### Finding Intervals of derivatives including local max or min

I have a function f(x) = x^3 - 3x^2 + 1. Using the First derivative: 1. Identify the intervals over which f(x) is increasing and decreasing. Hence classify the turning points (as local maximum or local minimum). using the first derivative i can get to: f ' (x) = 3x^2 - 6 f ' (x) = 0, f ' (x)...
5. ### shear strength calculation including yield strength

Hi Guys, I was wondering if anybody knows the formula for shear strength calculation considering yield strength of the material. I can calculate the shear but some materials can take much more strength than others. Thanks
6. ### Including initial conditions in Laplace Transform MATLAB

Hello Everyone! I'm trying to plot the response of a system against a particular input, but I am failing to do so because I need the output to start at a specific point. So, how can I include the initial conditions supposing my output is x and the system is a 2nd order linear system, i.e. I...
7. ### sloving for two variables including fractions

Hi Guys, Hoping you can help with a simple manipulation problem?? I need to solve for P: Q=120,000.(1-P/140) If you could post steps to solving it would be great. Thanks for your help!
8. ### Derivative of composite function including natural logarithm/ln.

Hi, I'm having a problem reconciling my solution with the book I'm working from. The question is: Calculate the derivative of: \ln(x+\sqrt{x^2+1}) using the chain rule I get as far as \frac{1}{x+\sqrt{x^2+1}}(1+\frac{x}{\sqrt{x^2+1}}) From here I would multiply each term inside the bracket by...
9. ### 2nd order ODE including a quadratic

Hi all, I am trying to solve for the rocking frequency of a semi-circular object (imagine a cylinder cut down the z axis so that the cross section is semi-circular), and I have got stuck right at the end. I figured out the location of the centre of mass so that I could write down the torque...
10. ### 3 differential equations, including the logistic function

I would like to derive formally a particular result, that I, intuitively, suspect to be true. Therefore, I want to use the following differential equations: There are n groups in a particular population, each with its own rate of reproduction r1, r2, r3, ..., rn. (1) Say that, when the...
11. ### cdf for funcion including E(X) and V(X)

I seem to have totally messed up this problem because my results do not make sense. Could anyone please show me where I went wrong? Many thanks. The weekly demand for propane gas (in 1000s of gallons) from a particular facility is an rv X with pdf f(x)=2(1-\frac{1}{x^{2}}) for 1\leq x\leq2...
12. ### Shortest path for a directed graph including additional variable

I have the following graph problem for a graph with the following conditions: 1) The graph could be disjointed e.g. A and B->C and D->E 2) All edges in the graph are directed 3) All edges have weights 4) All edges emerging from a node will have the same weight e.g. in graph A->B,C...
13. ### Pre-Calc Questions including division, critical numbers, and Inequalities

Any help is greatly appreciated. Thanks! 1. Solve the inequality and graph the solution on the real number line. x3 + 3x2 – 9x – 27 ≤ 0 2. Find the critical numbers of the expression. (Enter your answers as a comma-separated list.) 3x3 – 32x2 3. Use the given zero to find all the...
14. ### Word problem including depth, min / max..

One end of a piece of elastic is attached to a point at the top of a door frame and the other end hangs freely. A small ball is attached to the free end of the elastic. When the ball is hanging freely it is pulled down a small distance and then release, so that the ball oscillates up and down on...
15. ### indefinite integral, including e

\int (x^2-1)e^{x^3-3x}dx
16. ### A box with a square base has a surface area including the top of 3 m^2.

1. A box with a square base has a surface area including the top of 3 m^2. Express the volume V of the box as a function of the width w of the base. 2. A stone is thrown into a lake and t seconds later after the splash the diameter of the circle of the ripples is t meters. a. Express the...
17. ### Stuck with finding roots including population models

Hi, I would like to find the solution for t in; a*t=1/(1+c*exp(-b*t)) where a, b and c are all positive and less than 1. Left hand side of the function is cumulative logistics curve. I know it is not invertible, I am assuming the solution would include LambertW function. Is there a way to...