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Find the indicated equation.
a. Find the equation of the plane which is tangent to the graph of f(x, y) = 4 arctan (xy) at the point (x, y) = (1, 1).
b. Find the equation of the tangent plane to x + y + z = exyz at the point (0, 0, 1).
For each point in the table below, decide whether it is on Line 1, Line 2, both, or neither.
Find the elasticity of demand E for the demand function q = 40,000 - 10p2.
Suppose that a tank initially contains 2000 gal of water and the rate of change of its volume after the tank drains for t min is '(t)=(0.5)t)-30 (in gallons per minute).
If the interest rate is 6% annually, compounded semiannually, how much money will Barry have in his boat fund after five years?
Given the linear equation, find the y-coordinates of the points (-9, ), (0, ), and (9, ). Please show all of your work. Plot those points and graph the linear equation.
It is filled to the top with water. Find the work required to empty the tank by pumping all of the water to the top of the tank.
the base of a sloping wall and reaches 14 feet up the face of the wall what is the angle of inclination of the ladder ?of the wall?
complete assignment with
two trucks leave the warehouse at the same time. 3 hours later, they are 429 miles apart. If one truck was driving 15 MPH slower than the other, how many miles did each drive?
In your own words, what does it mean for two equations to be dependent or to be independent? Type an equation for g(x) that results, with f(x), in an independent and consistent system: f(x) = 2x - 8 g(x) = ?
the surface area of the moon is 37 932 330 km2.calculate the side length of a square with the same area.
Regrind, Inc. regrinds used typewriter platens. The cost per platen is $2.40. The fixed cost to run the grinding machine is $92 per day. If the company sells the reground platens for $4.40, how many must be reground daily to break even?
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