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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Use Euler's method to approximate the solution. Also find the exact solution. Round your answers to four decimal places.Use Euler's method with h = 0.5 to approximate y(5) given that y' = 2y2/  and y(1) = -1 . Also find the exact value of y(5).

A. y(5) ? -0.0879; the exact solution is y(5) = -0.1893 B. y(5) ? 0.0821; the exact solution is y(5) = -0.1601 C. y(5) ? -0.1949; the exact solution is y(5) = -0.2594 D. y(5) ? -0.1482; the exact solution is y(5) = -0.2224

Mathematics

Is the following correspondence a function??

A. Yes B. No

Mathematics

Solve the problem.The table shows the population of a city over the past five years.  We used these data to develop the quadratic function , which models the population of the city y in millions in the year x. Use the model to find the estimated population in year 10.

A. 1,490,000,000,000 B. 71,628,000 C. 66,427,000 D. 1,490,000

Mathematics

Sketch the graph of the equation. Identify the vertex and the intercepts.y = - x2 - 4x - 4

A. vertex: (2, 0);
x-intercept: (2, 0);
y-intercept: (0, 4)

B. vertex: (-2, 0);
x-intercept: (-2, 0);
y-intercept: (0, -4)

C. vertex: (2, 0);
x-intercept: (2, 0);
y-intercept: (0, -4)

D. vertex: (-2, 0);
x-intercept: (-2, 0);
y-intercept: (0, 4)

Mathematics