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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?
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The diameter of a mason jar is 3 inches but can be as large as 3.03 inches and as small as 2.97 inches. Twenty five samples of mason jars are taken and it is discovered that these components have a grand mean of 3.01 inches and a standard deviatio..
Blood pressure measurements are taken on a set of patients before & after they receive a lumbar puncture [spinal tap]. You are interested in determining if there is a difference between mean arterial blood pressure between the pre & post measures. Wh..
The exact value of the indicated trigonometric function.
Let f:R->R be a function that satisfies f(x+y) = f(x)+f(y) for all x,y in R. Suppose that f is continuous on R and that f(1)=k. Prove that f(x)=kx for all x in R.
Consider the matrix A of the linear transformation T in two dimensional space that rotates all vectors 45 degrees in the clockwise direction, and then shrinks their horizontal component by a factor of two.
Find the probability that a randomly selected teacher makes less than USD 40156 a year? Round your final answer as a percent rounded to two decimal places.
A rectangular field has an area of exactly 1 square mile. if the field has a length of 250 yards and 3 inches, what is the width of the field? Give your answer in feet and inches, and round to the nearest inch. What is the perimeter of this field?
Let E and F be non-zero-probability events. If E and F are mutually-exclusive, can they also be independent?
Let f (x,x',x"). Be a function of independent variables x, its first derivative x', and its second derivative xo. Write down an Euler-Lagrange expression for this function.
a weather balloon is rising vertically. after T hours, its distance above the ground measured in kilometers is given by the formula s(t)=8t-t2. determine the average velocity of weather balloon from t=2h to t=5h. determine its velocity at t=3h.
Give the horizontal asymptotes. Graph the function by dividing the axis and tell if the graph is above or below the axis for it's intervals.
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