Solve the problem.An arch for a bridge over a highway is in the form of a semiellipse with the major axis vertical. The top of the arch is 35 feet above ground. The height of the arch 28 feet from the center is to be 12 feet above ground. Write an equation for the ellipse in which the x-axis coincides with the ground and the y-axis passes through the center of the arch.

A.  +  = 1
B.  +  = 1
C.  +  = 1
D.  +  = 1


Answer: C

Mathematics

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Plot the point whose polar coordinates are given.(-2, 2?/3)

A.

B.

C.

D.

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Find the value of ? in the interval [0°, 360°) that satisfies the given conditions.sin ? =  and ? in quadrant II

A. 150° B. 240° C. 120° D. 60°

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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)  Find the x- and y-intercepts of the graph.(c)  Determine whether the graph crosses or touches the x-axis at each x-intercept.(d)  Graph f using a graphing utility.(e)  Use the graph to determine the local maxima and local minima, if any exist. Round turning points to two decimal places.(f) Use the information obtained in (a) - (e) to draw a complete graph of f by hand. Label all intercepts and turning points.(g)  Find the domain of f. Use the graph to find the range of f.(h)  Use the graph to determine where f is increasing and where f is decreasing.f(x) = -2(x - 2)(x + 2)3

What will be an ideal response?

Mathematics

Use the graph to determine the domain and range of the function.

A. domain: {x|x ? 0} range: all real numbers B. domain: {x|x ? -2 or x ? 2} range: {y|y ? 0} C. domain: {x|x ? 0} range: {y|y ? -2 or y ? 2} D. domain: all real numbers range: {y|y ? -2 or y ? 2}

Mathematics