Answer:
56lb
Step-by-step explanation:
there are 2000lbs in a ton so a measurement in pounds is more precise
The picture is not clear. let me assume
y = (x^4)ln(x^3)
product rule :
d f(x)g(x) = f(x) dg(x) + g(x) df(x)
dy/dx = (x^4)d[ln(x^3)/dx] + d[(x^4)/dx] ln(x^3)
= (x^4)d[ln(x^3)/dx] + 4(x^3) ln(x^3)
look at d[ln(x^3)/dx]
d[ln(x^3)/dx]
= d[ln(x^3)/dx][d(x^3)/d(x^3)]
= d[ln(x^3)/d(x^3)][d(x^3)/dx]
= [1/(x^3)][3x^2] = 3/x
... chain rule (in detail)
end up with
dy/dx = (x^4)[3/x] + 4(x^3) ln(x^3)
= x^3[3 + 4ln(x^3)]
let x represent granddaughter and x +2 for grandson and together they = 12
so then we have the equation of x+2+x = 12
combine like terms 2x +2 =12
-2 from both sides to isolate x
2x=10 divide both sides by 2 to get x by itself
so we get x = 5 then add 2 +5=7
so grandson is 7 and granddaughter is 5
Answer:
A = 64 pi
or approximately 200.96
Step-by-step explanation:
The diameter is twice the radius
d = 2r
16 = 2r
Divide by 2
16/2 = 2r/2
8 =r
The area of a circle is
A = pi *r^2
A = pi*(8)^2
= pi *64
Or if we approximate pi as 3.14
A = (3.14) * (64)
A = 200.96
Answer: c) 
.
Step-by-step explanation:
Mean value theorem : If f(x) is defined and continuous on the interval [a,b] and differentiable on (a,b), then there is at least one number c in the interval (a,b) (that is a < c < b) such that
Given function : 
Interval : [0,3]
Then, by the mean value theorem, there is at least one number c in the interval (0,3) such that
Since 
then, at x=c, 
From (i) and (ii), we have
Hence, the correct option is c) .
