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The height of a circular cone is changing at 1 inches per second (in/sec) and the diameter of its base is changing at -7/10 in/sec. What is the rate of change of its volume when the height is 100 inches and the diameter is 50 inches?
Find dy/dx by implicit differentiation. where p is the unit price in dollars and x is the quantity demanded each week, measure in units of a thousand. Compute the elasticity of demand and determine whether the demand is elastic, inelastic, or unit..
what are the domain and the image of the absolute value function?
Use the integrating capabilities of a graphing utility to approximate the surface area of that portion of the surface z=e^x that lies over the region in the xy-plane bounded by the graphs of y=0, y=x and x=1.
determine the probability that the metal balls falls on the number 31 or a red slot.
Describe two real-life examples where exponents are used either at home or on the job. For ideas, look in the textbook or online. Look around at home and at work to see what strikes you as being similar in your own life. What examples do you see?
To make an open-top rectangular box, a 3 inch by 5 inch rectangular sheet of cardboard has congruent squares cut from each corner. What are the dimensions of the maximum volume, and what is the volume of that box?
If the Gaussian elimination algorithm with scaled partial pivoting is used on the example shown, which row will be selected as the third pivot row
Provide one example to show how you can use the Expected Value computation to assess the fairness of a situation (probability experiment). Provide the detailed steps and calculations.
The world's population was 5.51 billion on January 1, 1993 and 5.88 billion on January 1, 1998. Assume that at any time the population grows at a rate proportional to the population at that time. In what year should the world's population reach 7 ..
Let T be an exponential random variable with parameter λ.let X be a discrete random variable defined as X=k if k
Denote the ball trajectory, r(t) = hx(t), y(t)i, wth respect to time, t. Assuming that t = 0 corresponds to the instant when the ball leaves the bat, what are x(t) and y(t)? Is it a home run? Does the ball clear the fence?
compute the result from the given survey of voters.in a survey 26 voters were asked their age.nbsp the results are
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