Step-by-step explanation:
Start by finding when the populations become equal.
C = R
1000e^(0.1t) = 50e^(0.5t)
Divide both sides by 50.
20e^(0.1t) = e^(0.5t)
Divide both sides by e^(0.1t).
20 = e^(0.4t)
Take natural log of both sides.
ln 20 = 0.4t
Multiply both sides by 2.5
t = 2.5 ln 20
t ≈ 7.5
The population of rabbits first exceeds the population of crickets in the middle of the 7th year after 2016, or 2023.
D = 5
a = - 2
T6 = - 2 + 5(5)
= - 2 + 25
= 23
Answer:
p = k(d)/u^2
Step-by-step explanation:
<em>BRAINLIEST, PLEASE!</em>
One A
y = e^x
dy/dx = e^x The f(x) = the differentiated function. Any value that e^x can have, the derivative has the same value. x is contained in all the reals.
One B
y = x*e^x
y' = e^x + xe^x Using the multiplication rule.
You want the slope and the value of the of y to be the same. The slope is y' of the tangent line
xe^x = e^x + xe^x
e^x = 0
This happens only when x is very "small" like x = - 4444444
y = e^x * ln(x) Using the multiplication rule again, we need the slope of the line with is y'
y1 = e^x
y1' = e^x
y2 = ln(x)
y2' = 1/x
y' = e^x*ln(x) + e^x/x So at x = 1 the slope of the line =
y' = e^1*ln(1) + e^1/1
y' = e*0+e = e
y = mx + b
y = ex + b
to find b we use y= e^x ln(x)
e^x ln(x) = e*x + b
e^1 ln(1) = e*1 + b
ln(1) = 0
0 = e + b
b = - e
line equation and answer.
y = e*x - e
Answer:
Hypotenuse (x) = 7.27
Step-by-step explanation:
cos57*=4cm/x
cos57*/cos57*=4/cos57*
x=4/cos57*
cos57*~.55
x=4/.55
x=7.27
