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1. Determine whether the function is a solution of Laplaces equation uxx uyy =0.
u= ln(x2 - y2) + 2 tan-l(y/x).
2. Find an equation of the tangent plane to the surface z = ex^2-y^2, at the point(1, -1, 1).
A spherical balloon is to be deflated so that its radius decreases at a constant rate of 7 cm/min. At what rate must air be removed when the radius is 9 cm?
Leah makes $24 per hour for a 40-hour week and time and a half for every hour over 40 hours. If she made $1140 last week, how many overtime hours did she work?
Problem 1: Find the average rate of change of the function over the given interval.
Find the level of production for each sector in order to satisfy the demand for $100 million worth of food, $40 million worth of clothing, and $250 million worth of shelter. (Round your answer to the nearest whole number.)
Need help solving a math question Solve the systems of equations by graphing. Check your solution.Y=-4x+23y+12x=6
Find the area S of the region bounded by the parabola y = 3x2, the tangent line to this parabola at (4, 48), and the x-axis.
The region bound by the circle (x-a)^2 + y^2 = a^2 is revolved around about the y-axis to generate a solid
The area of a certain rectangle is 288 yd2. The perimeter is 68 yd. If you double the length and width what will be the area and perimeter of the new rectangle.
The exterior angles of a triangle measure
A laboratory designed a radio telescope with a diameter of 320 ft and maximum depth of 48 feet. The graph depicts a cross section of this telescope. Find the equation of this parabola.
442 are taking college algebra, 229 are taking calculus and 51 are taking both college algebra and calculus. how man are taking algebra but not calculus
1.If a savings account awards interest of 6 percent per year compounded quarterly, what amount must be deposited today in order to accumulate $20,000 after 5 years? How much interest will be earned during these 5 years?
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