Instead of using the quotient rule, you can first expand <em>y</em> :
<em>y</em> = (4<em>x</em> - 1)^2 / <em>x</em> ^2 = (16<em>x</em> ^2 - 8<em>x</em> + 1) / <em>x</em> ^2 = 16 - 8/<em>x</em> + 1/<em>x</em> ^2
Then the derivative is
d<em>y</em>/d<em>x</em> = -8/<em>x</em> ^2 - 2/<em>x</em> ^3
The tangent to the curve at (-1, 25) then has a slope or gradient of
d<em>y</em>/d<em>x</em> = -8/(-1)^2 - 2/(-1)^3 = -6
Answer:
3456
Step-by-step explanation:
Ten times the dimensions is:
4.8 * 10 in by 7.2 * 10 in = 48 by 72 inches
The area is the product of the two numbers:
48*72 = 3456 inches squared
1600÷2... 800
-------- = ----------
1654÷2.... 827
Answer: 49
Step-by-step explanation:
a=l*w
a= 7*7
a=49