(1 point) In this problem you are asked to convert the general standard form of a quadratic polynomial into the complet...
6. Write the quadratic function f(x-ar' + br + c , a * 0 İn vertex form f(x) = a(x-h)' + k using e fo rmulas for h and k in terms of the procedure of completing the perfect square and provid parameters a, b, and c. Solve the equ formula. Factor the quadratic expression ax+br+c in terms of the solutions x, and x, of the quadratic equation. Write equations expressing the relationships between parameter a, b and c and...
(1 point) In this problem you will calculate the area between f(x) = x2 and the x-axis over the interval [3,12] using a limit of right-endpoint Riemann sums: Area = lim ( f(xxAx bir (3 forwar). Express the following quantities in terms of n, the number of rectangles in the Riemann sum, and k, the index for the rectangles in the Riemann sum. a. We start by subdividing [3, 12) into n equal width subintervals [x0, x1], [x1, x2),..., [Xn-1,...
Problem 6: (Goldbeter Koshland switch) Goldbeter & Koshland (PNAS 78:6840, 1981) considered the phosphorylation and dephosphorylation of a substrate S by a kinase E and phosphatase H, respectively: Η S→Sp Sp →S Assuming that both reactions obey Michaelis-Menten kinetics, we can write d[S]_ VE [S] VH [Sp] dt Kme+ [S] K + [S] Define the dimensionless variable ** [9]+8,] where [S]+[SP] = [ST] = constant, and show that dr_v. (1-x) Vix dt Joh 1-x Jx + x Tell me the...
Please write neat so I can read and understand the problem. (1 point) In this exercise we consider finding the first five coefficients in the series solution of the first order linear initial value problem 3y" - xy + 4y = 0 subject to the initial condition y(0) = 3, y'(0) = 2. Since the equation has an ordinary point at x = 0 and it has a power series solution in the form y= 2" We learned how to...
A polynomial p(x) is an expression in variable x which is in the form axn + bxn-1 + …. + jx + k, where a, b, …, j, k are real numbers, and n is a non-negative integer. n is called the degree of polynomial. Every term in a polynomial consists of a coefficient and an exponent. For example, for the first term axn, a is the coefficient and n is the exponent. This assignment is about representing and computing...
The general form of a chemical reaction is aA + bB = cC +dD Where A and B are reactants in the forward direction and C and D are products in the forward direction. The lower case letters are the stoichiometric coefficients for the balanced equation. The general form of the equilibrium constant equation is then: Keq = [C]c[D]d/[A]a[B]b Part I: Q vs. K Q: reaction quotient can be calculated for a reaction at any concentration values of reactants and...
Jason leaves Detroit at 9:00 PM and drives at a constant speed west along I-94. He passes Ann Arbor, 40 mi from Detroit, at 9:48 PM. (a) Express the distance d traveled in terms of the time t (in hours) elapsed. d(t) (b) Draw the graph of the equation in part (a) d 100 100H 90 90 80 80 70 70 60 60 50 50 40 40 30 30 20 20 10 10 2H d 80 90 100 10 20...
This time, you are asked to analyze the time dependent behavior of two masses (m, and m.) connected by a massless spring. You may assume that the spring is linear, has a spring constant k and a free length of L. That is if the spring is stretched to length L' > Lit exerts a compressive force of magnitude (L' L). However, if compressed, ie., L' <Lit exerts an expansion force of magnitude (L-1). In Newtonian Mechanics, motion of the...
-0.2r 2.5x using the bisection method (1 point) In this problem you will approximate a solution of e Instead of solving e22.5x, you can let f(z) 027 - 2.5z and solve f(z) 0 First find a rough guess for where a solution might be Evaluate f(x) at -4,-3,-2,-1,0, 1,2,3, and 4. Remember that you can make Webwork do your calculations for you! f(-4) f(-3) f(-2) f(0)- f(1) = f(2) - f(3) - f(4) Using your answers above, the Intermediate Value...
You will be writing a simple Java program that implements an ancient form of encryption known as a substitution cipher or a Caesar cipher (after Julius Caesar, who reportedly used it to send messages to his armies) or a shift cipher. In a Caesar cipher, the letters in a message are replaced by the letters of a "shifted" alphabet. So for example if we had a shift of 3 we might have the following replacements: Original alphabet: A B C...