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DIRECT AND INVERSE VARIATION WORKSHEET
If y = -4 when x=2, find y when x = -6 y=-2x, y-12. If y = -9 when x = 3, find y when x = -5 y = -3x, y=15. The distance traveled varies directly with the time of travel. If the time traveled is 250 meters in 25 seconds, find the distance traveled in 60 seconds. y=10x, y=600m. Write an inverse variation equation that relates and y. Assume that ...
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[DOC File]1
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16. State Green’s Theorem If M(x ,y) and N(x ,y) are continuous function with continuous partial derivatives in a region R of the xy plane bounded by a simple closed curve C, then .Where C is the curve described in positive direction 17.
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[DOC File]Problem 2
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y = (Px/Py )x. We can now solve for x by substituting y = (Px/Py )x into the equation for the budget. line Pxx + Py y = I . This gives us: ... (x, y) = xy + 10x, where x denotes the amount of food consumed and y the amount of clothing. The marginal utilities are MUx = y + 10 and MUy = x. The consumer’s income is $100, and the price of food is $1.
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[DOC File]Problem Key: Ch
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Suppose the utility function for goods X and Y is given by . utility = U(X,Y) = XY + Y. a. Calculate the uncompensated (Marshallian) demand functions for X and Y and describe how the demand curves for X and Y are shifted by changes in I or in the price of the other good. L = XY + Y + ((I – PxX – PyY) FONC imply. Y = (PX ; X+1 = (PY
finding x in an equation

[DOC File]SECOND-ORDER LINEAR DIFFERENTIAL EQUATIONS
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y = c1 e-x + c2 x e-x + e-x (ln x - x2) [Exercise 1] (a) Solve x2 y'' - 2 x y' + 2 y = x2 + 2 (b) x2 y'' - x y' - 8 y = x4 - 3 ln (x) ; x 0. by method of variation of parameters. (c) Solve x y'' + y' - = x ex (d) Solve y'' - 3y' + 2y = cos(e-x) [Exercise 2] Consider the third order equation
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[DOC File]Homework No
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4. Solve the equation 5x ( x2 =0. 5. Find x and y if x + y = 8 and xy = 12. 6. lf y = bx + a, express x in terms of y, b and a. 7. Factorise 6t + 2s. 8. Factorise x2 + 3x. 9. Solve x2 ( 7x + 12 = 0. 10. Calculate the value of 2x2 ( 3x when x = (3. 11. Calculate ((½)2. 12. Convert 3/8 to a decimal. 13. The mean of five numbers is 7. Four of the ...
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[DOC File]California State University, Northridge
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19. a. First, MRS = y/x. Second, y/x = Px/Py = 1 or y = x. Third, plug into constraint and solve for X. 16 = 1*X + 1*Y = 2X. X = 8. Y also equals 8. U =80.580.5 = 8. b. MRS = y/x, ( y/x = 2, or y = 2x. ( 16 = 2x + y = 4x, or X = 4 . Y = 8. U = 40.580.5 = 2*2.83 = 5.66. Tax revenue = $1*4 = …
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[DOC File]SOLVE SYSTEMS OF EQUATIONS - Bloomfield College
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Solve x + y = 8 x - y = 2. Both equations are linear. Therefore, both their graphs will be lines. That is why a graph can be used to find the solution. STEPS: 1) Graph both linear equations on the same coordinate plane. 2) The point, (x, y), at which the two lines intersect is the solution to the system of equation.
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[DOCX File]4.4 Solving simultaneos equations
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4.4 Solving simultaneos equations. Up to now we have solved equations with only one unknown variable. When solving for two unknown variables, two equations are required and these equations are known as simultaneous equations.
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[DOCX File]Math Test—No Calculator - The SAT Suite of Assessments
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y. equals, f. of . x, in the . x y. plane, with the origin labeled . O. The number 1 is indicated on both axes. The graph begins at the point with coordinates negative 4 comma 2, and goes downward and to the right until it reaches the point on the . x. axis with coordinates negative 2 comma 0. Then it goes upward and to the right until it ...
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Xy x y solve for x