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Question: Prove or disprove the following statement. "For all integers b, c, and d, if x is a rational number such that x2 + bx + c = d, then x is an integer." (Hints: Are all the quantifiers given explicitly? It is ok to use the quadratic formula.)
Find the vector equation of the line through the origin and perpendicular to the line given by r(t) = . (Recall: Two lines are perpendicular if they intersect at a right angle.)
A poster is to have 150 square inches of printed area. If we want a 2 inch margin at the top, and 1 inch margins at the bottom and sides, what dimensions use the smallest amount of paper.
A tree casts a shadow of 28 m. The elevationof the sun is 49°. How tall is the tree? A 24 foot ladder is placed against a Wall at 55° with the ground. How far away from the wall is the base of the ladder?
What is the limit definition of derivative? How can we use it to find a derivative?
Campbell Sales purchased merchandise worth $745 and made a partial payment of $300 on day 13. If the sales terms were 2/15, n/30, how much was credited to the account? What was the outstanding balance?
find the height of the flag pole from the word problem.the total height of a building and the flagpole on the roof is
The IQ of adults in a certain large population is normally distributed with mean 100 and standard deviation10. If a person is chosen at random form this group. the probability that the person's IQ is less
Division of labor or specialization is an inevitable task in a business entity. Define the term division of labor?
A certain country taxes the first $16,000 of an individual's income at a rate of 15%, and all income over $16,000 is taxed at 20%. Find a piecewise-defined function T that specifies the total tax on an income of x dollars.
the indicated derivative
Presentation subjects are based on the units of the course. Unit B is covered by three students, Unit C is covered by five students, and Units A and D.
a ladder that is 3.0 m long is leaning against a wall at an angle of 66.0 o with respect to the ground. if the base of
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