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Trace the curve y2 = (x + 2)2 (x - 6). Clearly state all the properties you have used for tracing it(e.g., symmetry about the axes, symmetry about the origin, points of intersection with the coordinate axes, tangents at some chosen points, range of definition, its asymptotes (if any), extreme points, etc.)
Determine a particular solution for the subsequent differential equation. y′′ - 4 y′ -12 y = 3e5t + sin(2t) + te4t Solution This example is the purpose that we've been u
Determine the domain of each of the following functions. f( x ) = x - 4 / x 2 - 2 x -15 Solution With this problem we have to avoid division by
1. How many closed necklaces of length 7 can be made with 3 colors? (notice that 7 is a prime) 2. How many closed necklaces of length 10 can be made with 3 colors (this is dierent
On a picnic outing, 2 two-person teams are playing hide-and-seek. There are four hiding locations (A, B, C, and D), and the two members of the hiding team can hide separately in a
The average age of a woman and her daughter is 16 years. The ratio of their ages is 7: 1. Then the woman''s age is
The students of a class are made to stand in complete rows. If one student is more in each row, there would be 2 rows less, and if one student is less in every row, there would be
2 1/3
What are some of the interestingmodern developments in cruise control systems that contrast with comparatively basic old systems
Calculate the area and perimeter of a square: Calculate the area and perimeter of a square with w = 5´ and l = 6´. Be sure to involved units in your answer. Solution:
What is a close figure in plane?
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