Answer:
a: D= 130T
B it is a linear function
Step-by-step explanation:
Logarithmic differentiation means tAke logarithm of both sides to make the function easier to find the derivative.
y = (sinx)^lnx
ln(y) = ln((sinx)^lnx)
power rule logarithm
ln(y) = ln(x) ln(sinx)
Take derivative
y'/y = ln(sinx)(1/x) + ln(x) cosx/sinx
multiply both sides by y
y' = y( ln(sinx)/x + ln(x)cotx )
remember y = (sinx)^lnx
sub this in for y
y' = (ln(sinx)/x + ln(x)cotx)(sinx)^lnx
Answer:
70%
Step-by-step explanation:
Total number of teenagers surveyed
12+20+38+20+10 = 100
Find the number of teenagers with 3 or fewer pairs of shoes
12+20+38 =70
P(3 or fewer) = teenagers with 3 or fewer/ total
= 70/100
= 70%