Answer:
0.
Step-by-step explanation:
1) y'=(x⁴)'=4x³;
2) ∡ y'=0, ⇒ 4x³=0; ⇒ x=0.
Step-by-step explanation:
Find the gradient of AB
-2.5
Find the gradient of perpendicular
0.4
Make the equation
y= 0.4x + c
Apply point A
3= 0.4*2+c
3-0.8= c
c= 2.2
y= 0.8x + 2.2
Answer:
Step-by-step explanation:
Area of the rectangular piece A = xy
x is the length
y is the width
Perimeter =2x+2y
Given
Perimeter = 3044yds
3044 = 2x+2y
1522 = x+y
x = 1522-y
Substitute into the formula for area
A = xy
A = (1522-y)y
A = 1522y-y²
To maximize the area, dA/dy must be zero
dA/dy = 1522-2y
0 = 1522-2y
2y = 1522
y = 1522/2
y = 761
Since x+y = 1522
X+761 = 1522
X = 761
Dimension is 761yd by 761yd
Area = 761×761 = 579121yd²