Solve the problem.You are planning to close off a corner of the first quadrant with a line segment 17 units long running from (x, 0) to (0, y). Show that the area of the triangle enclosed by the segment is largest when 

What will be an ideal response?


If x , y represent the legs of the triangle, then x2 + y2 = 172.
Solving for y, y 
= 
A(x) = xy = x
A'(x) = -  + 
Solving A'(x) = 0, x = ± 
Substitute and solve for y: ()2 + y2 = 289 ; y =   ? x = y.

Mathematics

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Find the intervals on which the function is continuous.y =  

A. continuous everywhere
B. discontinuous only when ? = ?
C. discontinuous only when ? = 
D. discontinuous only when ? = 0

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Evaluate the exponential function at the specified value of x.f(x) = 2x, x = -5

A. 10
B. -3
C.
D.

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Solve the problem.The ending balance from Christine's most recent bank statement is $515.33. Find the current balance in Christine's checking account using the information given below.

A. $179.19 B. $798.16 C. $496.33 D. $779.16

Mathematics

Evaluate the following expression. (x ? ?n, where n is a whole number) ? ?

A. 3 (csc x - sin x) B.  (csc x + sin x) C. - 3 (csc x - sin x) D. 3 (csc x + sin x) E.  (csc x - sin x)

Mathematics