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The dimensions of a closed rectangular box are measured as 60 centimeters, 50 centimeters, and 90 centimeters, respectively, with the error in each measurement at most .2 centimeters. Use differentials to estimate the maximum error in calculating the surface area of the box.
so can you let me know if what i have is correct and answer the ones that i dont have a answer to.
Water is flowing at the rate w of into a tank in the form of a cone of altitude h and base radius and with its vertex in the downward direction. How fast is the water level rising when the water is a certain depth x ?
The lifetimes of two car batteries (Brand A and B) are independent exponential random variables with means 12 hours and 10 hours, respectively.
A rectangular piece of metal is 10 cm longer than it is wide. Squares with sides 2 cm long are cut from the four corners of the piece of metal, and the flaps are folded upward to form an open box. If the volume of the box is 832 cm3, what were the..
Given a = 9i - 5j and b = 7i-4j, express i and j in terms of a and b. Given a= and b = determine whether a and b are parrallel, perpendicular, or neither.
Estimate the number of replications needed to reduce the half width of each con?dence interval by 25 percent. Run the additional replications for each system and compute new con?dence intervals using a 0.10 level of signi?cance.
A ball drops from a height of 23 feet. Each time it hits the ground, it bounces up 65 percents of the height it fall. Assume it goes on forever, find the total distance it travels.
John and Mary are one of the married couples at the party. If Mary wins a prize, what is the conditional probability that John will win the other prize?
Find the rate at which water is draining from the tank after the following amounts of time. (Remember that the rate must be negative because the amount of water in the tank is decreasing.)
Description of Probability : Random Selection, Suppose there are two vendors and each provides 50% of the items. The lifetime (in days) of an item from the first vendor is Exp
Given that the acceleration vector is a(t) = (-9cos(-3t)) i + (-9sin(-3t)) j + (-2t) k , the initial velocity is v(0) = i + k , and the initial position vector is r(0) = i+j+k , compute:
A certain service station uses a team of 3 mechanics in one repair station to work on each car that needs repair. This team can repair cars at a rate of 9 per day.
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