The largest circle in the accompanying figure has radius 1. Consider the sequence of circles of maximum area inscribed in semicircles of diminishing size. What is the sum of the areas of all of the circles?

Q: On a sphere a sum of all angles of a triangle is larger than T. What is the largest possible sum of…

A: We know that  On a sphere sum of all angles of a triangles is larger than π. A spherical triangle is…

Q: Find the linear approximation of the given function at (1, 0), and use it to approximate f(1.1,…

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Q: 1. A farmer has 900 feet of fencing material to be used to enclose adjacent corrals as ilustrated in…

A: Explanation of the answer is as follows

Q: Eight identical balls were placed inside a cubical box of side 84 such that every ball is in contact…

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Q: A rectangular storage Area is to be constructed along astde of building. A security fence is…

A: Given: Total length of the fencing is 700 ft. Now it is given that it should be covered from 3…

Q: 7) A ten foot ladder is standing vertically up against a wall. The ladder starts slipping down the…

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Q: A pizza box is formed from a 20-cm by 40-cm rectangular piece of cardboard by cutting out six…

A: Derivative of a function is described as the change in variable with respect to another variable.…

Q: You are building five identical pens adjacent to each other with total 30m length of fencing, as…

A: Given, 5 identical pens and 30 m length of fencing. We need to maximize the total area.

Q: A rectangle, R, has length L = 8 and width W = 3. What is the maximum area of the rectangle, Q, that…

A: We need to find maximum area.

Q: A string of length L is cut into arbitrarily many pieces. Some or all pieces are made to circles and…

A: Let the string is cut into n equal pieces. Then the length of each piece will be Ln. Now, let x…