Homework Help for Prealgebra (page 3)
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6.15 The equation of the line through (a, alpha) and perpendicular to the line through the origin and (a, alpha) is r=alpha/ cos(theta-alpha) (a) Graph the circle C with polar equation r =2 (b) The polar coordinates of point P are (2, 2pi/3). Graph and label point P. (c) Graph a line tangent to circle Cat point P. (d) Give the polar equation of the line tangent to circle Cat point P. (e) Give the x,y equation of the line tangent to circle C at point P.
Which of the following statements are true for images formed by spherical mirrors?
Check all that apply.
|A concave mirror always produces a real image of an object placed in front of it.|
|A convex mirror always produces a virtual image of an object placed in front of it.|
|A concave mirror always produces an image that is the same size as the object.|
|A convex mirror always produces an upright image of an object placed in front of it.|
|A convex mirror always produces an image that is the same size as the object.|
|A concave mirror always produces an inverted image on an object placed in front of it.|
Consider a through full of water in the shape of an upside-down triangular prism. The top of the tank is 10m long by 5m wide and the height of the triangular face is 10m. The tank contains water, 8m deep initially. There is a hole in the bottom of the tank that allows 15cm3/min of water exit (provided the water in the tank is at least 0.5m deep). How fast is the height of water in the tank changing when it is 1.5m deep? You are interested in investigative accounting. You are given a portfolio with the following information. $5500 was invested in 1976. For the first 7 years, there was an interest rate of 3.5% compounded bi-annually. The current balance in the account is $17,250. Assuming that interest after 1984 was compounded continuously, what was the interest rate in effect from 1984 - present on this investment?
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