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Assume z is a function of x and y, defined implicitly by the equation -4xyz + yx + z2 + z + 7. Calculate the indicated partial derivatives at the point (x,y,z) = (1,3,1).
A research shows that employee salaries at company XYX, in thousands of dollars, are given by the equation y-hat= 48.5 + 2.2 a + 1.5 b where ‘a' is the years of experience, and ‘b' is the education level in years.
A tank initially contains 10 gallons of brine in which 3 pounds of salt are dissolved. A brine containing 2 lb/gal of salt runs into the tank at the rate of 2 gal/min. The mixture is well stirred and ows out of the tank at the rate of 1 gal/min.
A book case is 1.98 meters tall and its shelves aree 33 cm apart. how many shelves are in the bookcase?
Write the two equations in slope-intercept form, and then determine how many solutions the system has.
12. Consider the fixed point iteration a) Prove that 1 Xn-1-1 =X0 = 0 Xn
The constant of integration can be founds if you know one point on the curve. For the following problem, find the constant of integration. Find the constant on integration, C if
A company projects that its total savings S (in dollars) by converting to a solar-heating system with a solar-collector area A (in M2) will be equal to the formula below. Find the area that should give the maximum savings and find the amount of th..
Which topological space that we have previously encountered appears to be topologically equivalent to the quotient space that results from this partition?
Find the absolute max and min.
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An anchor weighing 130 lb in water is attached to a chain weighing 2 lb/ft in water. Find the work done to haul the anchor and chain to the surface of the water from a depth of 35 ft.
Find the linear equation for monthly revenue, R, in terms of x, the number of bagels sold each month. (c) How many bagels must be produced and sold to break-even? (d) What is Betty"s profit (loss) if she produces and sells 1600 bagels?
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