Math Problem. Please Help

Question

A right triangle has three sides a, b, and hypotenuse c. Side a increases in length by 5

cm/sec and b decreases in length by 2 cm/sec. When a is 6cm and b is 8cm, what is the rate

of change of the area of the right triangle?

Answer 1

The area of this triangle is (1/2) a x b. Take the derivative of both sides to find how the area is changing with respect to time. Will need to use power rule when you do this

dA/dt= (1’2) [a’b + ab’ ] = (1/2)[ 5x8 + 6x-2]= 1/2(28)=14cm/sec

Answer 2

(a+5)

(b-2)

What was the original?