F'(x)=-2x{e^(-x²)}
Equating f'(x)=0,
i.e,
-2x{e^(-x²)}=0....eqn(i)
For maximum slope:
Differentiating (i) wrt x,we get,
4x² {e^(-x²)}-2 {e^(-x²)}=0
{e^(-x²)} [4x²-2]=0
4x²-2=0
x=1/√2
If f(x)=y then f'(x)=dy/dx=slope
So,
Maximum slope
= f'(x)
= -2x{e^(-x²)}
=-2×(1/✓2){e^(-1/✓2)²}
= -✓2{e^(-1/2)}
=(-sqrt 2/sqrt e)
=-sqrt(2/e)➡c is correct
3 so D
Answer is 119
Hope this helps:)
10 feet 6 inches = 126 inches. Length of the car is 126 inches and the model length is 7 inches.
126 : 7 = 18
The scale factor of the model to the actual car is 1 : 18.
Same thing,
f(g(1))
=f(2(1)-6)
=f(-4)
f(-4)
=-4(-4)+7
=16+7
=23
Answer:
{(-34/7, -16/7)}
Step-by-step explanation:
Rearrange values, multiply to solve for x.
(5) 2y = 3x + 10
(-2) 5y = 4x + 8
Solve for x.
10y = 15x + 50 ↓
-10y = -8x -16
Combine and evaluate.
0 = 7x + 34
Subtract 34 from both sides.
7x = -34
Divide both sides by 7.
x = 
Plugin x value into either equation to solve for y.
2y = (3 ×
) + 10
2y =
+ 10
2y = 
y = 