Given y = xy + x^2 +1, first find y = f(x) = (x^2 + 1) / (1 - x). Then use the quotient rule for derivatives.
dy/dx = [( 1 - x)( 2x) - (x^2 + 1)(-1)] / (1 - x)^2. Substitute the value of x = -1 into the above derivative and get -1/2.
Answer:
(x^2 + 2x - 21) sq units
Step-by-step explanation:
Area of the shaded region = Area of the larger rectangle - Area of smaller rectangle
Area of the larger region = x(x+2)
Area of the larger region =x^2 + 2x
Area of the smaller rectangle = 3 * 7
Area of the smaller rectangle = 21 sq. units
Area of the shaded region = x^2 + 2x - 21
Hence the required expression is (x^2 + 2x - 21) sq units
Answer:
That would be about 11.667
Answer:
ET = 80/A^2
Step-by-step explanation:
First, isolate the variables that you need, which is E and T, using the two equations you were given.
EA = 8
E = 8/A (divide A on both sides to isolate E)
AT = 10
T = 10/A (divide A on both sides to isolate T)
Now, substitute.
ET --> (8/A) x (10/A) = 80/A^2
