Answer:
Possible derivation:
d/dx(a x + a y(x) + x a + y(x) a)
Rewrite the expression: a x + a y(x) + x a + y(x) a = 2 a x + 2 a y(x):
= d/dx(2 a x + 2 a y(x))
Differentiate the sum term by term and factor out constants:
= 2 a (d/dx(x)) + 2 a (d/dx(y(x)))
The derivative of x is 1:
= 2 a (d/dx(y(x))) + 1 2 a
Using the chain rule, d/dx(y(x)) = (dy(u))/(du) (du)/(dx), where u = x and d/(du)(y(u)) = y'(u):
= 2 a + d/dx(x) y'(x) 2 a
The derivative of x is 1:
= 2 a + 1 2 a y'(x)
Simplify the expression:
= 2 a + 2 a y'(x)
Simplify the expression:
Answer: = 2 a
Step-by-step explanation:
This should help
https://math.tutorvista.com/geometry/surface-area-of-a-trapezoidal-prism.html?view=simple
Answer:
I don’t know which answer choice it is since C and D are the same but the answer is supposed to be x < -15.
Step-by-step explanation:
the image has the work shown
Answer:
Step-by-step explanation:
For each consecutive year after that, their profit increased by 12%. The growth is exponential. We would apply the formula for exponential growth which is expressed as
A = P(1 + r)^t
Where
A represents the profit made after t years.
t represents the number of years.
P represents the initial profit made.
r represents rate of increase.
From the information given,
P = 2.4 × 10^6
r = 12% = 12/100 = 0.12
t = 4 years
Therefore,
A = 2.4 × 10^6(1 + 0.12)^4
A = 2.4 × 10^6(1.12)^4
A = 3776446.5
Answer:
x= 8.1353
x= 8.135 (rounded to the nearest tenth-thousandths)
x= 8.14 (rounded to the nearest thousandths)
x= 8.1 (rounded to the nearest tenth)
Step-by-step explanation:
<u><em>Note I am not 100% sure with my answer</em></u>
2 − ln (x − 8)= 4
−ln (x − 8) + 2= 4
−ln (x − 8) + 2 + −2= 4 + −2
−ln (x − 8)= 2
−ln (x − 8)/−1= 2/−1
ln (x − 8)= −2
<solve for the logarithm (ln)>
ln (x − 8)= −2
e^ln (x − 8)= e^−2
x − 8= e^−2
x − 8= 0.1353
x − 8 + 8= 0.1353 + 8
x= 8.1353
