Find a rectangular equation for the plane curve defined by the parametric equations.x = t2 + 1, y = t2 - 1

A. y = x2 - 2, x ? 1
B. y = x - 2, x ? 1
C. y = x2 + 2, x ? 1
D. y = x + 2, x ? 1


Answer: B

Mathematics

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Find the indicated partial sum for the sequence with the given general term. s10, an = (-1)n

A. 1 B. -1 C. -10 D. 0

Mathematics

Solve the problem. A reasonable quadratic model for the population of a certain city is found to be    where B(t) is the population (in thousands) of the city in the year that is t years since 1990. A reasonable quadratic model for the number of residents of that city who were born outside the United States is  where F(t) is the number (in thousands) of foreign-born residents of the city in the year that is t years since 1990. Let P(t) be percentage of residents of the city who were born outside the United States in the year that is t years since 1990. An

equation for P is P(t) =  . Use P to predict when the city will have 13.4% foreign-born residents. 

A. 2005
B. 2006
C. 2004
D. 2003

Mathematics

Analyze the graph of the given function f as follows:(a) Determine the end behavior: find the power function that the graph of f resembles for large values of |x|.(b) Graph f using a graphing utility.(c) Find the x- and y-intercepts of the graph.(d) Use the graph to determine the local maxima and local minima, if any exist. Round turning points to two decimal places.(e) Use the information obtained in (a) - (d) to draw a complete graph of f by hand. Label all intercepts and turning points.(f) Find the domain of f. Use the graph to find the range of f.(g) Use the graph to determine where f is increasing and where f is decreasing.f(x) = x3 - 0.4x2 - 2.5861x + 3.0912

What will be an ideal response?

Mathematics

Determine algebraically whether the function is even, odd, or neither even nor odd.f(x) = 4x - 6

A. Neither B. Odd C. Even

Mathematics