Solve the problem.You are planning to close off a corner of the first quadrant with a line segment 25 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 = 252.
Solving for y, y = 

A(x) = xy = x

A'(x) = -  + 

Solving A'(x) = 0, x = ± 
Substitute and solve for y: ()2 + y2 = 625 ; y =  ? x = y.

Mathematics

You might also like to view...

Solve the equation.3(4x - 1) = 12

A.
B.  
C.  
D.  

Mathematics

Simplify.-(-7)

A. -7 B. -8 C. 0 D. 7

Mathematics

Solve the problem.A power outage affected all homes and businesses within a 17 mi radius of the power station. If the power station is located 12 mi north of the center of town, find an equation of the circle consisting of the furthest points from the station affected by the power outage.

A. x2 + (y - 12)2 = 17 B. x2 + y2 = 289 C. x2 + (y - 12)2 = 289 D. x2 + (y + 12)2 = 289

Mathematics

Determine whether the equation defines y as a function of x. x - 7y = 6

A. function B. not a function

Mathematics