Solve the problem.A sealed-beam headlight is in the shape of a paraboloid of revolution. The bulb, which is placed at the focus, is 3 centimeters from the vertex. If the depth is to be 6 centimeters, what is the diameter of the headlight at its opening?
Fill in the blank(s) with the appropriate word(s).
about 17 cm
Mathematics
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Find the acceleration vector in terms of ur and u?.r = 2 cos 3t and ? = 4t
A. a = (-50 cos 3t)ur + 48 sin 3tu? B. a = (-50 cos 4t)ur - 48 sin 4tu? C. a = (-50 cos 3t)ur - 48 sin 3tu? D. a = (-50 sin 3t)ur - 48 cos 3tu?
Mathematics
Factor completely.x2 - 5xy - 14y2
A. (x - 7y)(x + 2y) B. (x - y)(x + 2y) C. (x + 7y)(x - 2y) D. (x - 7y)(x + y)
Mathematics
Locate each number on a number line.-1.5, 0.75, 2.25, -2.5
A. 
B. 
C. 
D. 
Mathematics
Determine convergence or divergence of the alternating series.
A. Converges B. Diverges
Mathematics