Solve the problem.An arch for a bridge over a highway is in the form of a semiellipse. The top of the arch is 35 meters above ground. The main span is 69.71 meters wide. 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: D

Mathematics

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Evaluate the line integral of f(x,y) along the curve C.f(x,y) = 6y2, C: y = e-x, 0 ? x ? 3

A. 2
B. 2
C. 3[2 - (e- 6 + 1)3/2]
D. 2[2 - (e- 6 + 1)3/2]

Mathematics

Construct a histogram for the data shown.

The following are values of resistance measured on a sample of 47 ê resistors. 43 ê, 47 ê, 50 ê, 44 ê, 43 ê, 46 ê, 45 ê, 47 ê, 47 ê, 51 ê, 43 ê, 46 ê, 48 ê, 47 ê, 47 ê, 46 ê, 45 ê, 48 ê, 46 ê, 46 ê, 48 ê.

Mathematics

Solve the equation for solutions in the interval [0°, 360°). Round to the nearest degree.sin 2? + sin ? = 0

A. {0°, 120°, 180°, 240°} B. {30°, 90°, 150°, 270°} C. {105°, 165°, 285°, 345°} D. {15°, 165°, 195°, 345°}

Mathematics

The concentration of a drug in grams/cubic centimeter (g/cm3) t minutes after it has been injected into the bloodstream is given by   where w, p, and k are positive constants, with p> w. ? At what time is the concentration of the drug the greatest? What will be the concentration of the drug in the long run? ?

A.
B. ?
C. ?
D. ?

Mathematics