Solve the following ODE’S. Please show your work f) y' +1= (x + y)m - (x...
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1. U(x, y) x,ax,1-a) a. Solve for the marshallian demands for x, and x2, as functions of p1, p2, and m. (Hint: your solutions will be equations, not numbers). (4pts) b. For x, find the own-price elasticity and income elasticity. (4pts) c. Suppose a = d. What happens to these quantities when p1 doubles to $4? (4pts) e. What does this say about the price consumption curve (PCC)? (4pts) 100, p1 2, and p2=8, find the...
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Show that F= + X0, +99, + (x+y). (where Problem 1. V -0) satisfies the equation v'(V°F) - 0 videnotes the operator ax ay? Problem 2. Given: Eu - (1-0) ReZ-(1 +vby Im Z Ev - 2 Im Z - (1 +) y Re Z Show that these expressions for the displacements, u and y, are consistent with Hooke's law equations. (Plane stress): Ex -0,-voy E, -, -vo E_Y = ? 2(1+0) Problem 3. For a...
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Solve the following system. Х 0 0 +y + z = 3y + 122 - 2y - 8z 5y + 20z 0 0 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The system has an infinite number of solutions characterized by x= y = z=r. B. The system has an infinite number of solutions characterized by x= , y=r, z=s. O C. The system has a unique...
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Find the indicated partial derivatives. F(x, y, z) = Py(6, 1, -1) X + y + (6, 1, -1) Submit Answer
Solve the following problems. Show your work clearly. Question 1 (25 points): Let f(x) = x5: (A)Determine whether fis one-to-one by using a geometric method. (B)“The inverse function of f(x) = xs is equal to the inverse function of f(x) = x5 +6" Is this statement true or false? Justify your solution steps. (C) Solve the equation ex®+6 = 7. Determine whether the solution changes or not when ex* = 7. Compare your solution steps by using the properties of...
Show your work! No work, no credit! 1. Given T[c x, y, z >)-< x-z, y >. Complete the following a. Check if T is a linear transformation. Show your work! b. Find the domain and range of T. c. If T is a linear transformarion, find the matrix A that induced T. (6 points) 1)
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(10 pts) Let F(x, y, z) = (x + y, y - 1, e), and let S be the part of the surface z = 9. 22 - y2 above the plane z=5, with downward orientation. Evaluate the flux of F across S by computing the surface integral IsF. ds.
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Consider a 1.0 L solution of 0.20 M acetic acid, CH3COOH. Addition of which reagent(s) will generate a buffer solution. X. 1.0 L of 0.20 M NaOH Y. 1.0 Lof 0.10 M NaOH Z. 1.0 L of 0.20 M CH3COONa A. X and Z B. Z only C. Y and Z D. X and Y E.Y only
(1) Solve the following exponential equation: Show your work. 342-12 = 6561 (2) Solve the following logarithmic equation: Show your work. logy (z? + 4) - log7 (x + 1) - 343
Let f(z-y2 sin(x+-) Answer the following. Show and explain your work. (a) Find the Taylor polynomial of order 4. generated by f(x) at zo (b) Describe the MacLaurin series of f (with or without the sigma notation). (Hint: What pattern do the derivatives of f at z-0 follow?) (c) Does the MacLaurin series of f converges absolutely, converges conditionally or diverges at -1?
Let f(z-y2 sin(x+-) Answer the following. Show and explain your work. (a) Find the Taylor polynomial of...