Graph the parabola or ellipse. Include the directrix that corresponds to the focus at the origin.r = 

A.

B.

C.

D.


Answer: C

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 = 4 cos t, y = 4 sin t, ? ? t ? 2?

A. x2 + y2 = 1

Clockwise from (1, 0) to (1, 0), one rotation
B. x2 + y2 = 16

Counterclockwise from (-4, 0) to (4, 0)
C. x2 + y2 = 16

Clockwise from (4, 0) to (-4, 0)
D. x2 + y2 = 16

Counterclockwise from (4, 0) to (4, 0), one rotation

Mathematics

Express the given complex number in polar form.2.41e0.008jr

A. 2.41 ( cos 138.1° + j sin 138.1°) B. 0.008 ( cos 138.1° + j sin 138.1°) C. 2.41 ( cos 0.5° + j sin 0.5°) D. 0.008 ( cos 0.5° + j sin 0.5°)

Mathematics

Use the given graph of f(x) = ax2 + bx + c to solve the specified inequality.f(x) < 0

A. -3 < x < 3 B. x < -3 or x > 3 C. no solution D. x < -3

Mathematics

Solve the problem.Two bank loans, one for $6000 and the other for $8000, cost a total of $995 in interest for one year. The  loan has an interest rate 2% higher than the interest rate for the $8000 loan. Find the interest rate for each loan.

A. 7.5% for $6000 loan; 5.5% for $8000 loan B. 8.75% for $6000 loan; 6.75% for $8000 loan C. 7.75% for $6000 loan; 5.75% for $8000 loan D. 8.25% for $6000 loan; 6.25% for $8000 loan

Mathematics