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Find the area of f(x) = 3+2x-x² above the x-axis.

a seller claim that her lip tint has a mean organic content of 90%. A rival seller asked 60 users of that lip tint and found that it has a mean organic content of 85% with a standard deviation of 5%. test the claim at 1% level of significance and assume tha the population is approximately normally distributed



if it takes 24.8 ml of 1.20N acid to neutralize 3.25 g of a base, what is the equivalent weight of the base

Find the area, take the elements of the area perpendicular to the x-axis. x²-y+1=0; x-y+1=0.

A farmer wants to fence an area of 60,000 m2 in a rectangular field and then divide it in half with a fence parallel to one of the sides of the rectangle. What should the lengths of the sides of the rectangular field be (in m) in order to minimize the cost of the fence?


smaller value = m

larger value = m


At 0.0°C and 1.00 atm, 1.00 mol of a gas occupies a volume of 0.0224 m3.

If the gas is nitrogen (N2), the principal component of air, what is the mass density? Molar mass of Nitrogen is 14.00674 g/mol.


At 0.0°C and 1.00 atm, 1.00 mol of a gas occupies a volume of 0.0224 m3.

 What is the number density?


A poster is to have an area of 630 cm2 with 2.5 cm margins at the bottom and sides and a 5 cm margin at the top. Find the exact dimensions (in cm) that will give the largest printed area.


width  = cm


height = cm



At 0.0°C and 1.00 atm, 1.00 mol of a gas occupies a volume of 0.0224 m3.

Estimate the average distance between the molecules.


A piece of wire 30 m long is cut into two pieces. One piece is bent into a square and the other is bent into a circle.


How much wire (in m) should be used for the square in order to maximize the total area?


M = 0


How much wire (in m) should be used for the square in order to minimize the total area?


M= ?


I've tried 16.8 but its wrong.


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