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

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Graph the function.y = -4 sin  

A.

B.

C.

D.

Mathematics

Solve the problem.The area of a trapezoid of height h, small base b, and large base B is given by . Find the area of a trapezoid whose height is 8 m, small base is 10 m, and large base is 13 m.

A. 11.5 m2 B. 69 m2 C. 130 m2 D. 92 m2

Mathematics

Solve the problem.Find the value of a retirement savings account paying an APR of 6.2% after 40 years (contributions made at the end of each year, including the last year) when the annual contribution is $2700. Round your answer to the nearest cent.

A. $439,457.86 B. $411,259.75 C. $469,404.24 D. $486,451.91 E. $434,574.99

Mathematics

In a series RC circuit, impedance may be calculated by what equation?

a. ER/Z b. R ÄÄÄÄÄ cos é c. Ec ÄÄ Z

Mathematics