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A square piece of cardboard is to be used to form a box without a top by cutting off squares, 3𝑑𝑛 on a side from each corner and then folding up the sides. The volume of the box must be 3000𝑑𝑛3. 1. Draw a diagram to illustrate the given situation. 2. How...

A hyperboloid cooling tower is 400 feet wide at its base and is 350 feet wide at its narrowest point and 400 feet above the ground. What is the equation of the hyperboloid that models the shape of the tower?

A group of learners in senior high school plans to make an igniter using the rays of the sun. The learners plan to use a concave (parabolic) mirror having a diameter of 10𝑑𝑛 and 2𝑑𝑛 deep. At what point should the put the ignite? Why?

According to Kepler’s Law, planets have elliptical orbits, with the sun at one foci. The farthest Pluto gets from the sun is 7.4 billion kilometers. The closest it gets to the sun is 4.4 billion kilometers. Find an equation of Pluto’s orbit assuming a cen...

An elliptically shaped garden is surrounded by a wood walkway. The garden is 15 meters long and 8 meters wide. The walkway is 2 meters wide. Find an equation describing the ellipse that includes both the garden and the walkway.

inutusan paq amp thx ig [niroll ulo q kse nde sapat ang eyeroll lng] sana tinapos mo nalang din ano chos gfdhsja nde aq pinalaki ng lola q na walang utang na loob, so wanhap lng yang thx q