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Let v(t)=3t^2-12t be the velocity of a particle moving along the x-axis for time t, t>(less than or equal to)0 When t=0 the particle is at x=-6
(a)Determine the position of the particle at t=a(b)Write an expression for the speed of the particle at any time t(c)In which direction does the particle begin moving and when does it turn around?(d)When, if ever, is the particle at the origin?
A cylinder is inscribed in a right circular cone of height 3.5 and radius (at the base) equal to 2.5. What are the dimensions of such a cylinder which has maximum volume?
Find the velocity of the top of the ladder at time t=2.
if the sides of a square are lengthenedby 8cm, the area becomes 289cm^2. Find a length of a side of the original square.
The perimeter of a regulation singles tennis court is 210 feet and the length is 3 feet less than three times the width. What are the dimensions of the court?
What is the standard error of the sample mean, x? Enter your answer to 2 decimal places.
Model each situation with a linear function and graph. Is it reasonable to include negative numbers in the range?
If the wages per hour are $10, $15, and $18 for low, medium, and high skilled, respectively, how many of each type should be hired to minimize total hourly wages?
Discrete Random Variable Defined on a Finite Sample Space. a) Prove that if X is a discrete random variable defined on a finite sample space, S, then we have E(X) = SUM X(a) P({a}).
What is the probability that Cass answers all of the questions correctly? What the probability that he answers 3 questions correctly?
The trigonometric expression to estimate the value
Step by step process in solving the following question. Using matrix algebra techniques, find a general solution of the system:
A bowl is shaped like a hemisphere with diameter 36 cm. A ball with diameter 4 cm is placed in the bowl and water is poured into the bowl to a depth of h centimeters. Find the volume V of water in the bowl. Consider two cases: one in which the bal..
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