Write a symbolic representation of a rational function f that satisfies the conditions.Vertical asymptotes x = 4 and x = -9,horizontal asymptote y = 7

What will be an ideal response?


Answers may vary. Possible answer: f(x) = 

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 = 3 cos t, y = 3 sin t, ? ? t ? 2?

A. x2 + y2 = 9

Counterclockwise from (3, 0) to (3, 0), one rotation
B. x2 + y2 = 9

Clockwise from (3, 0) to (-3, 0)
C. x2 + y2 = 1

Clockwise from (1, 0) to (1, 0), one rotation
D. x2 + y2 = 9

Counterclockwise from (-3, 0) to (3, 0)

Mathematics

Determine whether the following is always true or not always true. Given reasons for your answers.u × 0 = 0

What will be an ideal response?

Mathematics

Determine the truth value for the compound statement given that p is a true statement, q is a false statement, and r is a false statement. ~(p ? q) ? (r ? ~q)

A. True B. False

Mathematics

If A denotes the area of the sector of a circle of radius r formed by the central angle ?, find the missing quantity. If necessary, round the answer to two decimal places.r = 28.8 feet, ? = 34.786°, A = ?

A. 503.58 ft2 B. 251.79 ft2 C. 506.58 ft2 D. 254.79 ft2

Mathematics