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Prove De Morgan's laws for sets by using set theory arguments.
Prove De Morgan's laws for sets by using set theory arguments. Prove (A U B)' = A' ∩ B' by showing that (A U B)' ⊂ A' ∩ B'
The position function of a car moving along a mountain road is given by the function f(t) = t3 - 2t2 + 4 kilometers, where t is in hours. What is the instantaneous velocity of the car at t = 2 hours?
the radius of the earth is 6.38x10^3km. what is the radius of the earth measured in cm?
Food B is bought under a long-term contract requiring that at least 2 units of B be used per serving. How much of each food must be bought to produce the minimum cost per serving? What is the minimum cost per serving?
Suppose a family plans 6 children, and the probability that a particular child is a girl is 1/2. Find the probability that the 6 child family has exactly 2 girls.
A piece of wire is 20 cm long. It is to be cut into two pieces (not necessarily of the same length). One piece is ti be bent into a square and the other into a circle. How should this be done so that the resulting sum of the areas of the two objec..
Find a recurrence relation for the number of bit strings of length n that contain three consecutive 0s. What are the initial conditions?
building is 133 feet tall. For a class project, Kari is to make a scale model of the building to place in the front hall display case. The display case is 17 inches tall. Which scale will allow her to make the tallest model that will fit in the di..
The height f (t), in feet of an object thrown upward after t seconds is given by f(t) = 256t - 16t^2 (a) Find the time when it reaches the highest point. (b) how high does it go
The exponential models describe the population of the indicated country, A, in millions, t years after 2003. What will the population of Russia be in 2008?
Calculate the mean and variance of profit where the mean and variance for the number of units produced are 500 & 900 respectively.
Complex problems
Please show a detailed solution to this problem. Pleas show the curve and vectors together in a sketch. Find the unit vectors that are tangent and normal to the curve at the given point:
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