Answer:
dy/dx = -x²/(2y)
Step-by-step explanation:
x³ + 3y² = 11
Differentiation both sides with respect to x
3x² + 6y(dy/dx) = 0
dy/dx = -3x²/6y
dy/dx = -x²/2y
SOLUTION
Set the function equal to zero to solve for x.
{
0
=
1
2
x
−
3
3
=
1
2
x
6
=
x
x
=
6
⎩
⎪
⎪
⎪
⎪
⎪
⎨
⎪
⎪
⎪
⎪
⎪
⎧
0=
2
1
x−3
3=
2
1
x
6=x
x=6
The graph crosses the x-axis at the point (6, 0).
Answer is The constant x-value is 7, so the equation is x = 7.
Answer:
The decrease in the value of a share during 3.5 hours of trading is $3.85.
Answer:
a). Cards (1) and (4)
b). Cards (3) and (5)
Step-by-step explanation:
(a). From the cards attached,
If card (1) is rotated by an angle of 180° counterclockwise, we get the image given in card (4).
Therefore, card (4) will be the image of card (1) after a rotation.
(b). If we reflect card (3) across a horizontal line (or x- axis) image card (4) is obtained.
Therefore, card (3) and card (5) is the pair of cards.
