Provide an appropriate response.Find the local extrema for 

A. f(-5, 2) = 55 is a maximum
B. f(0, 0) = 1 is a minimum
C. f(1, 1) = -1 is a minimum
D. f(5, 2) = -13 is a minimum


Answer: D

Mathematics

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Parametric equations and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion.x = 5t + 3, y = 15t + 12, -? ? t ? ?

A. y = 3x - 3

Entire line, from left to right
B. y = 3x + 3

Entire line, from left to right
C. y = 3x + 3

Entire line, from right to left
D. y = 3x - 3

Entire line, from right to left

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Find the first three nonzero terms of the Maclaurin expansion of the given function.f(x) = 

A. 1 - 3x + 6x3 - ... B. 1 + 3x + 6x2 + ... C. 1 + 3x + 6x3 + ... D. 1 - 3x + 6x2 - ...

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Solve the problem.The decreasing-time algorithm is

A. an optimal and inefficient algorithm. B. an optimal and efficient algorithm. C. an approximate and efficient algorithm. D. an approximate and inefficient algorithm. E. none of these

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Solve the problem.Find the image of triangle ABC for the dilation with center O and scale factor 3/4.

A.

B.

C.

D.

Mathematics