Mathematics

Vectors in Space

Part 1The Sphere:  In space, the collection of all points that are the same distance from some fixed point iscalled a sphere.See the illustration below. The constant distance is called the radius, and the fixed point is the center of thesphere. Show that the equation of a sphere with the center at (x0, y0, z0) […]

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Date: November 20th, 2020

Polar Coordinates, Parametric and Rectangular Equations

Part 1Projectile Motion: Alice throws a ball straight up with an initial speed of 40 feet per second from a height of 5 feet.a. Find parametric equations that model the motion of the ball as a function of time.b. How long is the ball in the air.c. When is the ball at its maximum height?d. […]

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Date: November 12th, 2020

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