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.
You might also like to view...
Estimate the error in the quadratic approximation of the given function at the origin over the given region.
A. |E(x, y)| ? 0.864 B. |E(x, y)| ? 0.432 C. |E(x, y)| ? 0.216 D. |E(x, y)| ? 0.288
Answer the question appropriately.Find the area of the "triangular" region in the first quadrant that is bounded above by the curve 
, below by the curve y = ex, and on the right by the line x = ln 4.
A. 4
B. 
C. 
D. 4 ln 4
Write the series using summation notation.18 + 28 + 38 + 48 + ...
A. 
B. 
C. 
D. 
Perform the division.
A. x2 - 5x - 25 B. x2 - 5x + 25 C. x2 + 5x + 25 D. x2 - 10x + 25