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Quadratic Equation
1. Find the value of k for which the equation has real and equal roots (k+4)x² + (k+1)x + 1 = 0
2. If -5 is a root of the quadratic equation 2x²+px-15=0 and the quadratic equation p(x²+x) + k = 0 has
equal roots, find the value of k?
3. If the roots of the equation (b-c)x² + (c-a)x +(a-b) = 0 are real and equal then prove that 2b= a+c
4. If equation (1+m²)x² + 2mcx + (c²-a²) = 0 has equal roots, prove that c² = a²(1+m²)
5. Find the values of k for which the quadratic equation x²-kx+9 = 0 has real and distinct roots.
the aliens said a certain number of humans could tour their spaceship. if the humans entered the ship in groups of 234
Write the quadratic equation whose roots are 5 and 4, and whose leading coefficient is 1.(Use the letter x to represent the variable.)
Probability - poker fullhouse. A game of poker is played with an ordinary deck of 52 cards, and each player is dealt a hand of 5 cards chosen at random
graphs and trees provide you with ways to visualize data sets and the opportunity to do analysis on the data e.g.
apply Newton's method to f(x)= the tired norm of x using unit step size. show that it is linearly convergent. Why does quadratic convergence not occur?
The distance, D, in miles, that you can drive on $1 worth of gas as a function of the cost, g, in dollars, of a gallon of gas can be modeled by the power function: D(g) = 22.02g^-1.02
Find the length of the curve - Is the astroid a smooth curve? Is it regular? Is it a curve of general type? If the answer is "no" for a property, characterize those arcs (or segments) of the astroid which have the given property.
Determine whether the binary relation R on Z, where aRb means a^2 = b^2, is reflexive, symmetric, antisymmetric, and/or transitive.
Marine ecologists estimate the reproduction curve for swordfish in a fishing ground. Find the population that gives the maximum sustainable yield, and the size of the yield.
the data below are the final exam scores of 10 randomly selected statistics students and the number of hours they
What is the probability that the slips will be chosen in the order of the colors of a rainbow (the order listed above)?
Math 104: Homework 11. Find a sequence of integrable functions (fn) on R where -∞∫∞fn = 1 for all n, but fn → 0 uniformly on R
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