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1) Assume the value of a car is a linear function of time. When new the car is worth $26,300; 20 years later the car is worth $1,500. How much will the car be worth 7 years after purchase?
2) Solve the equation: x3 + 3x2 - 6x - 27 = 0
3) Compute the derivative of f(x) = 3x2 - 5x + 2 directly from the definition. Details are part of the answer.
4) Compute the derivative of f(x) = x3 directly from the definition. Details are part of the answer.
Find an expression for the surface area - where S is the unit sphere centred at the origin.
Discuss the notion of the logical "or" and the logical "and" in computer programming (coding) or flowcharts. Why is it important to know how to apply these correctly?
(a) Show that if G is a connected graph of order n ≥ 4 having cycle rank 1, then for every two distinct vertices u and v of G, the graph G contains at most two u - v paths. (b) Is the statement in (a) true if G has cycle rank 2?
Evaluate the iterated integral. Evaluate the double integral
sandra would like to switch the positions of terms so that like terms follow each other in the expression. Which property allows her to switch the position of terms?
What was the value of his IRA at the end of 7 years?
A stone is dropped from the top of a 250 m tower. (Acceleration due to gravity is -9.8 m/s2. Ignore air resistance. Give your answers correct to two decimal places.)
Will this use compound interest? If not, how can I word the problem where the interest will compound?
Suppose there is a hole in the can of paint and 18 lb of paint leaks steadily out of the can during the man's ascent. How much work is done by the man against gravity in climbing to the top?
Villages A , B , C and D are connected by overhead telephone lines joining AB , AC , BC , BD and CD . As a result of severe gales, there is a probability p (the same for each link) that any particular link is broken. Show that the probability that..
At what level should the divisions produce to meet a demand for $930,000 worth of plastics and $465,000 worth of industrial equipment?
1. Let D be the region lying between the hyperbolas xy = 1, xy = 2 and the lines y = x,y = 4x. Evaluate the integral Double integral D yxdA.
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