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The first equation in a system of two equations is x - 2y = 10. The graph of the second equation does not intersect the first. Write a possible second equation for the system and explain your answer. (Note: There are multiple equations that will work..
The upper right-hand corner of a piece of paper, 15 in. by 6 in., as in the figure, is folded over to the bottom edge. How would you fold it so as to minimize the length of the fold? In other words, how would you choose x to minimize y?
A car rental agency rents 180 cars per day at a rate of 28 dollars per day. For each 1 dollar increase in the daily rate, 5 fewer cars are rented. At what rate should the cars be rented to produce the maximum income and what is the maximum income?
A certain city block is in the form of a parallelogram. Two of its sides measure 32 ft. and 41 ft. If the area of the land in the block is 656 square feet, what is the length of its longer diagonal?
What will the value of the investment be after 12 years? If the deposits were made at the beginning of each period, what would the value of the deposits be after 12 years?
The number of international visitors to the United States each year (in millions) can be estimated and projected by the formula V = 2.18t+46.46,where t is the number of years since 2004. Find the number of visitors in 2007 ?
Let vector r(t) = t i + t^2 j represent a plane curve. Find T(t), T(1) and N(1). Sketch the plane curve and graph the vectors T(1) and N(1) at the point t = 1.
Find a standard form equation of a plane which is perpendicular to the line (x, y, z) = (1, 2, 1) + t(3, 2, -1) such that the plane also passes through the point (5, -1, 3).
Suppose when r = 5m,h = 10m and the height is decreasing by 5 m/s, you are told that the volume is increasing by 8π m3/s. How fast is the radius of the base changing?
i have a project and i really need help with it its in fact 8 of them. the book is fundamentals of differential
Find the equation of the regression line. Graph the line . Determine the slope and y-intercept of the regression line.
On a map 1 inch represents 58 miles. The distance between two cities on the same map is 5.85 inches. How many miles apart are the two cities?
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