Find equation for parabola that has vertex at origin
Find an equation for the parabola that has the vertex at the origin and satisfies the given condition.
1. Focus F(0,2)
2. Focus F(-5,0)
3. Directrix y=7
4. Directix has y-intercept 4
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Write an equation of an ellipse with the foci at (0,+/-2) and the lenght of the major axis equal to 8. Write an equation of an ellipse with the vertices at (+/-4,0) and +/-1 as y-intercepts.
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(a) What are the x- and y- components of the velocity of the ball 3.20s after it leaves the cannon? (b) What are the x- and y- components of the displacement of the arrow during the 3.20s interval?
Find an equation for the parabola that has the vertex at the origin and satisfies the given condition. Focus F(0,2). Focus F(-5,0).
A 50g ball travelling at 25 m/s is bounced off a brick wall and rebounds at 22 m/s. If the ball is in contact with the wall for 3.5 ms, what is the average acceleration of the ball during this time interval?
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A spring of constant k=11.75 N/m is hung vertically. A 0.500 kg mass is suspended from the spring. What is the displacement of the end of the spring due to the weight of the 0.500 kg mass? Show your work.
Find the equation of one variable for the surface area of a right circular cylinder inscribed in a cone of a height h and radius r with the base of the cylinder on the base of the cone.
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