smallest

  1. S

    Smallest interval for existence of unique solution of differential equation

    The smallest interval on which a unique solution exist for the IVP y′=e^(2y), y(0)=0, is what? A)|x|<=1/2e B)|x|<=2e C)|x|<=2/e D)|x|<=1/e I am confused which one is correct. Please help.:confused:
  2. W

    [Numerical methods] Smallest positive root

    With 15 or 16 decimals of precision, compute the smallest positive root of the equation: (x − 2)(x − 3)(x − 4)(x − 5)(x − 6)(x − 7)(x − 8)(x − 9)(x − 10) − ln x = 0 What was the accuracy obtained?
  3. O

    Find the smallest expression value

    About a convex hexagon ABCDEF it is known that AB = BC, CD = DE, EF = FA. Find the smallest value of the expression: BC / BE + DE / DA + FA / FC
  4. Chemist116

    How to find the smallest length in a triangle when the angles aren't known?

    I am confused on how to find the answer for this problem. So far what I believe would apply is the triangle inequality but I'm not sure on how to use it. The figure $ABC$ is a triangle so as $BDC$. It is known that the length of $AB = 8$ inches and $\angle BAD = 2\,\angle BCD$ and...
  5. V

    Upper bound on smallest field norm divisible by p

    Let $K$ be a number field, $p$ a prime ideal, $N(p)$ the norm of $p$, $P$ a principal ideal and $N(P)$ the norm of $P$. What are the (reasonable) upper bounds for the smallest $N(P)$ such that $N(p) | $N(P)$? Thanks for help.
  6. C

    Smallest Asymptote of a tan function

    Hi guys. How does one go about finding the smallest asymptote of this function. f(x) = tan(-9x+8 ) where x>=0 (in radians)
  7. S

    Smallest subgroup problem

    Hi! While learning group theory I stumbled across a problem I am really interested in learning how to solve, unfortunately I don't have the solution. The problem goes like this : Find the smallest subgroup of symmetric group S4 that contains the following elements ...
  8. P

    Largest and Smallest Decimal Number Computer program.

    Can we write a computer program which will find the largest and Smallest Decimal Number in a List? Example: 3.2,4.3,-2.1,7.3,5.4,-6.3,8.2,1.1,0.8 Thanks & Regards, Prashant S Akerkar
  9. M

    smallest infinite prime number gap

    gap between twin primes = 2 and its infinite... but between 2 and 3 there is a gap = 1, is the gap of 1 also infinite?
  10. J

    Find the Smallest Positive Integer that...

    Find the smallest positive integer which has a remainder of 2 when divided by 3, 5, or 7. I know a tactic to find a positive integer that has a remainder of 2 when divided by 3, 5, or 7: 2 + (3×5×7) = 107. However, 107 is not the smallest positive integer that meets this criteria. What's a...
  11. G

    The smallest angle in a triangle is 1 5 15 as large as the largest angle. The third

    Ouch! this hurts! The smallest angle in a triangle is 1/5 as large as the largest angle. The third angle is twice the smallest angle. Find the three angles. trying to get rid of fraction before solving if possible. As fractions really hurt me. so i am guessing I first need to go 5/5...
  12. U

    LOGIC PROBLEM: How to cut a 3 x 13 rectangle in 13 smallest rectangles of integer dis

    How to cut a 3 x 13 rectangle in 13 smallest rectangles of integer distincts sides??
  13. shunya

    The smallest fraction

    Find a fraction less than 1/12. Find another fraction less than the fraction you found. Can you continue this process? Is there a ''smallest'' fraction greater than 0? Explain. My attempt... 1/12 = (1 * 2)/(12 * 2) = 2/24 A fraction less than 1/12 is 1/24 1/24 = (1 *2)/(24 * 2) = 2/48 A...
  14. shunya

    The smallest number...

    What is the smallest number that can be expressed as the sum of two squares in two different ways? (You may use one square twice.) What would be a general way to tackle this kind of question. The only method I can think of is systematic testing of all numbers (this takes too long). Thanks
  15. G

    Using the smallest amount of real estate

    I'll begin with the Apologies: I'm not very good at maths, so I may not be using all the right terms I don't know if I've posted this question in the right sub category I have a rectangle which has several dots inside it. I want to draw smaller rectangles inside the bigger rectangle which...
  16. W

    Positive definite matrix whose smallest eigenvector is predefined

    Positive definite matrix whose smallest eigenvector is prescribed I have two twisted questions: 1) A is a N by N positive definite symmetric matrix, thus $AP=P \Omega$, the columns of P are eigenvectors; $ \Omega$ is the diagonal matrix consist of the eigenvalues. Knoeppel’s 2013 paper...
  17. P

    Smallest value of expression

    Determine the smallest value of the expression x^4−4x^3+8x^2−8x+4
  18. K

    How do I find the smallest proper divisor of large numbers?

    For example, ( 22! + 1). I can't find examples in books or on the internet. Any help very much appreciated.
  19. C

    CLASSIFY THE SMALLEST CRITICAL NUMBER FOR F

    1) The graph of f' (the derivative of f) is shown below. Classify the smallest critical number for f. - I chose local maximum. 2) The graph of f ' (the derivative of f) is shown below. Classify the smallest critical number for f. - I chose neither. Are these correct?
  20. S

    Finding the smallest posisble value.

    f(2) = -1 and f'(x) >= 3 for all x what is the smallest value f(6) can have? f(6) - f(2) = f'(x) (b - a) <-- but what is a and b here? Would it Just be any two numbers greater than or equal to 3 or what?