Solve the problem.An elliptical riding path is to be built on a rectangular piece of property that measures 10 mi by 4 mi. Find an equation for the ellipse if the path is to touch the center of the property line on all four sides.

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


Answer: B

Mathematics

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Use the Concavity Theorem to determine where the given function is concave up and where it is concave down. Also find all inflection points.T(t) = 2t - t3

A. Concave up on (-?, 0) ? (1, ?), concave down on (0, 1); inflection points (0, 0), (1, 2) B. Concave up on (-?, 0), concave down on (0, ?); inflection point (0, 0) C. Concave up on (0, ?), concave down on (-?, 0); inflection point (0, 0) D. Concave down for all t, no points of inflection

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Find the indicated limit or state that it does not exist. 

A. 10 B. 0 C. 5 D. No limit

Mathematics

Graph. Note that the equation is not in standard form.y = x - 1

A.

B.

C.

D.

Mathematics

Solve the problem.The March 1 unpaid balance in an account was $190. On March 7, a payment of $75 was made. The finance charge rate was 1.7% per month of the average daily balance. Find the new balance at the end of March.

A. $137.02 B. $116.70 C. $117.14 D. $117.20

Mathematics