Parametric equations and a value for the parameter t are given. Find the coordinates of the point on the plane curve described by the parametric equations corresponding to the given value of t.x = 4 + 5 cos t, y = 6 + 4 sin t; t = 

A. (4, 10)
B. (9, 6)
C. (4, 8)
D.


Answer: A

Mathematics

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Solve the problem.If f(x) = , g(x) = , and h(x) = 5x+ 15, find h(g(f(x))).

A.  + 15
B. 5 + 15
C.  + 3
D.

Mathematics

Find the domain and range and describe the level curves for the function f(x,y).f(x, y) = 

A. Domain: all points in the xy-plane; range: all real numbers; level curves: ellipses 
B. Domain: all points in the xy-plane except (0, 0); range: all real numbers; level curves: ellipses 
C. Domain: all points in the xy-plane; range: real numbers > 0; level curves: ellipses 
D. Domain: all points in the xy-plane except (0, 0); range: real numbers > 0; level curves: ellipses 

Mathematics

Provide an appropriate response. If there are 4 red marbles and 5 blue marbles in a sack, what is the probability of drawing a red marble on the first draw?

A.
B.
C.
D.

Mathematics

Provide an appropriate response.The cost C of processing exhaust gases so that you remove all but x percent of the pollutants is given by  Find the values of x for which C < 0. Discuss the meaning of the results.

What will be an ideal response?

Mathematics