- Centre of the circle Q is on the Y-axis. The circle passes through the points (0, 7) and (0, -1). If it intersects the posi- tive X-axis at (p, 0). What is the value of 'p'?
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Graph the projections of hcost,sin t, 2ti onto the x-z plane and the
y-z plane. The two dimensional vector function for the projection onto the x-z plane is
hcost, 2ti, or in parametric form, x = cost, z = 2t. By eliminating t we get the equation
x = cos(z/2), the familiar curve shown on the left in figure 13.1.2. For the projection onto
the y-z plane, we start with the vector function hsin t, 2ti, which is the same as y = sin t,
z = 2t. Eliminating t gives y = sin(z/2), as shown on the right in figure 13.1.2.
Step-by-step explanation:
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