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A balloon rises vertically after it is released and is tracked by an observer 50 feet from the point of release. At a certain moment the angle between the balloon and the foot of the observer is and is changing at a rate of 2 rad/min. At what rate is the balloon rising at this moment?
Write and equation of the tangent line to the graph of y = f(x) at the point on the graph where x has the indicated value. f(x) = (3x^2 + 5x + 4)(4x + 3), x=0
Compute the integral of 4y^3 dx -2x^2 dy around the square bounded by the lines y=+/- 1 and x=+/-1. Directly by performing the line integration.
Find the linear equation that relates value (V) in dollars to time (t) in years. What would be the value of the equipment after 6 years?
Calculate the percentage of students who score between 550 and 650.
A spring has a natural length of 24 cm. If a 28 N force is required to keep it stretched to a length of 36 cm, how much work W is required to stretch it from 24 cm to 32 cm? (Round your answer to the nearest hundredth.)
Evaluation of probability of randomly selected customer- Normal Distribution
an architect has allocated a rectangular space of 416 ft^2 for a square dining room and a 10 ft wide kitchen. find both the width of the square dining room and the length of the entire rectangular space?
A ball re-bounds one-half the height from which it is dropped. The ball is dropped from a height of 160 feet and keeps bouncing. What is the total vertical distance the ball will travel from the moment it is dropped until it hits the floor for the..
A two factor analysis of variance produces SSA = 20, SSB = 40 and SSAxB = 90. For this analysis, what is the value for SSbetween treatments?
The perimeter of a square garden is 248 metres. What is the length of each side?
Suppose u and v are non-parallel unit vectors, a=u+sqrt(3)v and b=u-sqrt(3)v. If the angle theta between u and v are the same as that between a and b, find cos theta.
A New York Times editorial criticized a chart caption that described a dental rinse as one that "reduces plaque on teeth by over 300%." What is wrong with that statement?
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