A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 250 cubic centimeters of soup. The sides and bottom of the container will be made of styrofoam costing 7 (.07) cents per square centimeter. The top will be made of glued paper, costing 9 (.09) cents per square centimeter. Find the dimensions for the package that will minimize production cost. Volume of a cylinder: V = Trh Area of the sides: A = 2rrh Area of the top/bottom: A = Area of the top/bottom: A = To minimize the cost of the package Find: Radius: cm Height: cm Minimum cost: $

Q: Find 2x² +5x+1 -dr, x>0

A: Use the formulas below to evaluate the given integral.

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A: 20032x+2=700

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A: Given. A linear equation in X such that 3X/4 + 5/8 = 2

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A:

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A:

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A:

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A:

Q: di

A: we have  to solve differential equation

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A: Given- 10007x-10=50412+100x To Solve- The above expression.

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A:

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A: we can see that the graph touches at 4 places on the x-axis.

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A:

Q: solye absolute 3x+5 こ8

A: Our Aim is to solve the absolute value of the expression given below:-3x+52=8 -(i)

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A:

Average

In mathematics, everyone must have heard the term average in one place or other. Almost all types of calculation require taking out an average. In everyday life, the term is used for denoting a certain amount that can be said to be a typical quantity for multiple people or objects. In other words, if a group of people possesses a certain object, then the average gives us an idea regarding the quantity of the object possessed by each person. However, this is solely based on mathematical calculation. It is important to note that most people will not strictly have the average value in a group.