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A particle is moving along the curve y=x^(1/2). As the particle passes through the point (4,2), its x-coordinate increases at a rate of 3cm/sec. How fast is the distance from the particle to the origin changing at this instant.
Find the dimensions of a right circular cylinder that is open on the top, isolated on the bottom, holds 1 liter, and uses the least amount of material.
Find whether x=3 is a local maximum or a local minimum and Sketch the graph - Sketch possible graphs for all four cases.
A recipe uses two eggs, three cups of flour & some other ingredients. The recipe makes enough batter for 6 servings. How many cups of flour will be needed to make enough batter for ten servings?
Find the payment R needed to amortize a loan of $12,000 at 9.2%/year compounded monthly with 36 monthly installments over a period of 3 yr. (Round your answer to the nearest cent.)
How much money can a person afford to borrow at 8% interest compounded semiannually if the loan is to be repaid at half-year intervals for 10 years with $1000 payments per half-year?
Health Canada reported that the duration of human pregnancies can be described by a normal model with mean 266 days and standard deviation 16 days.
Work out what constraints in a maximum entropy problem will give rise to the true inverse Gaussian distribution.
Find the probability of selecting an eight, A card is selected from a standard deck of 52 playing cards. Find the probability of selecting
The average number of television sets in the sample households turns out to be 2.56, and the SD is 0.73. What is the observed value for the average number of television sets per household?
Use a graphing device to graph the polar curve. Choose the parameter interval to make sure that you produce the entire curve.
The problem states: Find dw/dt (a) using the appropriate chain rule and (b) by converting w to a function of t before differentiating.
The length of a rectangle is 6 times the width. If the perimeter is to be at least 98 meters, what are the possible values for the width?
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