**Jiwen He 1.1 Geometric Series and Variations**

Express as a quadratic in t = e^x, solve and take logs to find: x = ln((3+-sqrt(5))/2) =+-ln((3+sqrt(5))/2) Let t = e^x. Then the equation becomes: t + 1/t = 3 Multiplying both sides by t we get: t^2+1 = 3t Subtract 3t from both sides to get: t^2-3t+1 = 0 Use the quadratic formula to find roots: t = (3+-sqrt(5))/2 Note that due to the symmetry of the equation t+1/t = 3 in t and 1/t, these two... FIND LIMx->Infiniti x^20/e^x; 2.Given the position function, s(t)=-t^3/3 + 13t^2/2 - 30t , between t = 0 and t = 9, where s is given in feet and t is measured in seconds, find the interval in seconds where the particle is moving to the right.

**special functions How to solve $x^2 = e^x$ - Mathematics**

6549 views around the world You can reuse this answer Creative Commons License... Given {eq}f(x) = \frac{e^x}{x^2 + 20} {/eq}, we can apply the Quotient Rule to find the derivative. Keep in mind that the derivative of... See full answer below.

**integrate e^-x^2 Wolfram Alpha**

e^e^x = 2 (e to the e to the x) Answer by jim_thompson5910(34747) (Show Source): You can put this solution on YOUR website! Start with the given equation Take the natural of both sides Rewrite the left side using the identity Take the natural log of e to get 1 So our answer is which is approximately ----- Start with the given equation Take the natural log of both sides Rewrite the left side how to get to spot x Substituting the values, we have log(p)=2log(e/2)-log(e) Hence, p=0.65 Please Note:- You will not be asked any tougher anti-log problems or questions requiring more calculation than this.

**Solve x^4-x^2-20=0 Tiger Algebra Solver**

Note that (x 2 − x 1) 2 is the same as (x 1 − x 1) 2 and therefore it doesn’t matter whether we go from P to Q or from Q to P − the result is the same. EXAMPLE Find … how to find adoption records online This is an exponential equation and we'll solve it using the substitution technique. First, we'll note that we have a negative power: e^-x = 1/e^x

## How long can it take?

### How do I find a solution to e^(2x) = 8e^(x) + 20 ? Socratic

- Solve x^4-x^2-20=0 Tiger Algebra Solver
- How to prove that e^x > x^2 for all positive x Quora
- SOLUTION Solve for x e^x = 5 e^e^x = 2 (e to the e to the x)
- Jiwen He 1.1 Geometric Series and Variations

## How To Find 20 X E X 2

6549 views around the world You can reuse this answer Creative Commons License

- I've worked the equation to get to e^(x) = 10 and e^(x) = -2, but I don't understand how to advance it further
- One way to understand the relationship between E(X 2) and the variance of X is to write out the following identity. E(X - X) 2 = E(X 2 - 2X X + X 2) = E(X 2 - 2[E(X)] 2 + [E(X)] 2 = E(X 2) - [E(X)] 2. Standard Deviation and Greek notation The standard deviation of a random variable is the square root of the variance. In the example above, the standard deviation would be the square root of (9.6
- This is an exponential equation and we'll solve it using the substitution technique. First, we'll note that we have a negative power: e^-x = 1/e^x
- Express as a quadratic in t = e^x, solve and take logs to find: x = ln((3+-sqrt(5))/2) =+-ln((3+sqrt(5))/2) Let t = e^x. Then the equation becomes: t + 1/t = 3 Multiplying both sides by t we get: t^2+1 = 3t Subtract 3t from both sides to get: t^2-3t+1 = 0 Use the quadratic formula to find roots: t = (3+-sqrt(5))/2 Note that due to the symmetry of the equation t+1/t = 3 in t and 1/t, these two