Answer:
dy/dx
= d/dx [2x² + 5x - 3]
= 4x + 5.
Hence at x = 1, dy/dx = 4(1) + 5 = 9.
The slope of the tangent is 9.
d/dx (3/x)
= d/dx (3x^-1)
= 3 * d/dx (x^-1)
= 3 * [-1 * x^(-2)]
= -3/x².
Answer:
129
Step-by-step explanation:
Use PEMDAS.
Parenthesis: (Multiply, then divide) 3*2=6, 12/6=2
Exponents:8^2=64
Multiply: 9*2=18
(No subtraction here!)
Add: 82+18
=129
(idk how, but i put it in the calc. and it came out as 129 soo...)
Answer:
1.26
u(8) - u(2) = 0.74
Step-by-step explanation:
Given
u(x) = ∛x
where x is the number of pancakes consumed per week
and
u(x) is her utility (happiness)
If x = 8
u(8) = ∛8 = 2
Now, if x = 2
u(2) = ∛2 = 1.26
then
u(8) - u(2) = 2 - 1.26 = 0.74
Answer:
The answer would be 12.571428571 units or 12.57units.