Solve the problem.You are planning to close off a corner of the first quadrant with a line segment 15 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 = 152.
Solving for y, y = 
A(x) = xy = x
A'(x) = - 
+ 
Solving A'(x) = 0, x = ± 
Substitute and solve for y: (
)2 + y2 = 225 ; y = 
? x = y.
Mathematics
You might also like to view...
Solve the problem.The area of a circle is given by A(C) = 
, where C is the circumference. Find A(87 cm).
A. 190 cm2 B. 1200 cm2 C. 600 cm2 D. 22 cm2
Mathematics
Perform the indicated operations and simplify the result. Leave the answer in factored form.
? 
A. 
B. 
C. 
D. 
Mathematics
Find the limit.
(x3 + 5x2 - 7x + 1)
A. 29 B. 0 C. 15 D. does not exist
Mathematics
Provide an appropriate response.Find the slope of the line passing through the following pairs of points: (-3, -1) and (-2, -4)
Fill in the blank(s) with the appropriate word(s).
Mathematics