Let

. Then

, and differentiating both sides with respect to

gives


Now, when

, you get

You have

, so

and

. So
The volume of a pyramid is
V=(l*w*h)/3=(35*4)/3=140/3=46.67 cubic feet , choice C
First one is $16 and the second is $276.25
Answer:
3x^2 + 12x + 4y^2 - 8y = 32
Step-by-step explanation:
3(x^2+4x)+4(y^2-2y)=32
At first we have to break the parenthesis to get the variables in normal position. To break those, we have to multiply each with the help of algebraic expression:
or, (3*x^2) + (3 × 4x) + (4 × y^2) - (4 × 2y) = 32
or, 3x^2 + 12x + 4y^2 - 8y = 32
Since the equation does not have anything to add or deduct, therefore, it is the answer.