Use an analytic method to solve the equation. = 3

A.  
B. {9}
C.  
D. {3}


Answer: D

Mathematics

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Solve the initial value problem and leave the solution in implicit form.y'(t) = , y(0) = 3

A. ln(y3) = ln(t3 + 27) B. y2 = t2 + 9 C. y3 = t3 - 27 D. y3 = t3 + 27

Mathematics

Determine the values of x for which the function, as represented by the graph, is continuous. If the function is not continuous, determine the reason.

A. Not continuous at x = -2; function not defined Not continuous at x = 2; small change B. Not continuous at x = -2, x = 2; function not defined C. Not continuous at x = -2, x = 0; function not defined Not continuous at x = 2; small change D. Not continuous at x = -2; function not defined

Mathematics

Multiply and simplify.

A.
B.
C.
D.

Mathematics

Solve.Elaine has a grassy patch of land on her farm that is a rectangle measuring 50 feet by 90 feet. So her goat can eat grass while Elaine is busy with other farm work, she drove two posts into the ground and fastened a rope to each post, passing the rope through a metal ring on the goat's collar. When the goat pulls on the rope while walking, its path is an ellipse. (See the figure.) If the goat can just reach all four sides of the rectangular patch, find the equation of the elliptical path.

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

Mathematics