Write down an (in)equality which describes the solid ball of radius 5 centered at (6, 3, 8). It should have a form like \(x^2 + y^2 + (z-2)^2 - 4 >= 0\), where you use one of the following symbols \(<, < =, =, > =, >\) The first blank is for the algebraic expression; the second for the (in)equality.
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- Is the point (−2,−3,2)(−2,−3,2) visible from the point (5,6,0)(5,6,0) if there is an opaque ball of radius 11 centered at the origin? Suppose that you stand at the point (5,6,0)(5,6,0) and look in the direction of a point that is not visible because it is behind the ball. You will then be looking at a point on the sphere. If (−2,−3,2)(−2,−3,2) is not visible from (5,6,0)(5,6,0), find the point on the sphere at which you are looking if you look in the direction of (−2,−3,2)(−2,−3,2). Otherwise, find the point on the sphere at which you look if you are looking in the direction of (−2,−3,1)(−2,−3,1).Find the number of points in the xy-plane with integer coordinates located at a distance 5 from the point (4, 2)Can u plz show the work
- One of the actions that are proposed to favor the increase in the percentage of renewable energies used in the economy is to promote the production of vegetables that can be used in energy generation, taking advantage of the surplus of organic matter generated during the process of photosynthesis, but respecting, in the first place, agri-food needs. The figure shows the dimensions of an ABC triangular-shaped field that is used to plant different types of vegetables. Through a DE segment parallel to the BC side, you want to divide the area into two parts with the same area, so that one is dedicated to sowing products to manufacture energy and another to sow products for human consumption. Calculate the AD distance and the hectares that correspond to each part. I have also attached the formulas that you can useSketch the surfaces PARABOLOIDS AND CONES z = 8 - x2 - y2