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6. Solve for x log2 (x + 7) + log 2x-3. a) x+7=3 b) 1 c) not possible x d) none of these 7. Evaluate log, a) x b) c) not possible d) none of these 8. What is the solution of -764? a) -2 b) 0 c) 2 d) 10 9. Find the approximate value of the expression log 16 160 a) 0.54 b) 1.83 c) 2.20 d) 0.9 10. Find the value of the expression 2.5 b) 12.2...
(Variation of Parameters) (a) Find the two independent solutions x, (1) and x2 (t) of the homogeneous DE: x,-4x + 4x = 0 . (b) Find the Wronskian W(t) of your two solutions from Part (a). (c) Set up and solve the equations for the functions that we called c,() and c2(t), to use in finding a particular solution of the DE: x,,-4x + 4x = te2t Using Parts (a) and (c), set up the particular solution xp(t) Your answer...
Use the method for solving bernoulli equations to solve Use the method for solving Bernoulli equations to solve the following differential equation. Ignoring lost solutions, if any, the general solution is y=1. (Type an expression using x as the variable.)
4. a) Solve the equation log2 (x - 5) - log: ( x - 2) +1 algebraically. b) Verify your answers are reasonable by graphing both y = log2 (x - 5) and y = log: (x-2) +| on the same set of axes.
Separation of variables I want to know the details for solving the two non-zero solution pls How to obtain the two ODE? or %0 Φ1 Thus, both sides should be constant. Solve, e have the only non-zero solutions are with β = ㎡π2/R,n = 1, 2, . . . Then, we solve, The onlu non-zero solutions are or %0 Φ1 Thus, both sides should be constant. Solve, e have the only non-zero solutions are with β = ㎡π2/R,n = 1,...
Consider a traveling (electrons) wave moving in the +x direction approaching a step barrier of height 1 eV; that is V = 0 for x < 0, V = 1.0 eV for x ≥ 0. For x < 0, there will be both the traveling wave in the +x direction. For x ≥ 0, only a solution corresponding to motion in the +x direction exists. By solving the Schrödinger wave equation in both x < 0 and x ≥ 0...
Problem 4. Consider f(x) = x5+ x4 + 2x3 + 3x2 + 4x + 5 ∈ Q[x] and our goal is to determine if f is irreducible over Q. We compute f(1), f(−1), f(5), f(−5) directly and see that none of them is zero. By the Rational Roots Theorem, f has no root in Q. So if f is reducible over Q, it cannot be factored into the product of a linear polynomial and a quartic polynomial (i.e. polynomial of...
2 Solving the Basic Factors From Problem s in Project 1, you know that if you have a factorization r-10... o Q2 o @1 in R[D], then (since all the Q, commute with one another), you can find solu- tions to L(y) 0 by solving Qt(y) 0 for i 1,2,...,r. In other words, the IVP has a unique solution. 2.I Factors of Degree One Because of the discussion above, we can see that it will be useful to search out...
(1 point) The graph of the function f(z-log2(z-1) can be obtained from the graph of g(x)-log2 z by one of the following actions: (a) shifting the graph of g(x) to the right 1 units; (b) shifting the graph of g(x) to the left 1 units; (c) shifting the graph of g(x) upward 1 units; (d) shifting the graph of g(x) downward 1 units Your answer is (input a, b, c, or d) 23 The domain of the function f(z) is...
Each person on the problem-solving team should complete an evaluation scorecard for a. the solutions assigned by the project manager. b. only the first solution identified. c. the solutions the team member thinks are possible. d. each of the possible solutions