If each side of the square below is 8 inches, the probability that a point chosen at random in the square is in the blue region would be 0.25.
Answer:
The area of the rectangle is increasing at a rate of
.
Step-by-step explanation:
Given : The width of a rectangle is increasing at a rate of 2 cm/ sec. While the length increases at 3 cm/sec.
To find : At what rate is the area increasing when w = 4 cm and I = 5 cm?
Solution :
The area of the rectangle with length 'l' and width 'w' is given by 
Derivative w.r.t 't',

Now, we have given




Substitute all the values,



Therefore, the area of the rectangle is increasing at a rate of
.
So C/D=.34 And D=.11, now just plug D into the first equation.
C/.11=.34 Divide by .11
C=3.09090909
Now this rounded two decimal places is 3.09!
Hope this helps
4x^2-9
(2x+3)(2x-3)
To verify use distributed
2x(2x) +2x(-3)+3(2x)+3(-3)
4x^2-6x+6x-9
4x^2+0-9
4x^2-9