Answer:
28.26 ft^2
Step-by-step explanation:
Area of a circle is calculated using the following formula :
πr^2 (r: radius, and π is given as3.14)
the diameter is given as 6 and radius is equal to half of it so :
(3.14)*3^2 = 28.26 ft^2
Answer:
I= (x^n)*(e^ax) /a - n/a ∫ (e^ax) *x^(n-1) dx +C (for a≠0)
Step-by-step explanation:
for
I= ∫x^n . e^ax dx
then using integration by parts we can define u and dv such that
I= ∫(x^n) . (e^ax dx) = ∫u . dv
where
u= x^n → du = n*x^(n-1) dx
dv= e^ax dx→ v = ∫e^ax dx = (e^ax) /a ( for a≠0 .when a=0 , v=∫1 dx= x)
then we know that
I= ∫u . dv = u*v - ∫v . du + C
( since d(u*v) = u*dv + v*du → u*dv = d(u*v) - v*du → ∫u*dv = ∫(d(u*v) - v*du) =
(u*v) - ∫v*du + C )
therefore
I= ∫u . dv = u*v - ∫v . du + C = (x^n)*(e^ax) /a - ∫ (e^ax) /a * n*x^(n-1) dx +C = = (x^n)*(e^ax) /a - n/a ∫ (e^ax) *x^(n-1) dx +C
I= (x^n)*(e^ax) /a - n/a ∫ (e^ax) *x^(n-1) dx +C (for a≠0)
Answer:
30.9 cm^2
Step-by-step explanation:
A=(3*2.6)/2+3*(3*6)/2=3.9+27=30.9 cm^2
Answer:
B. 5
Step-by-step explanation:
We have been given that R varies directly with S. When S is 16, R is 80. We are asked to find constant of variation.
We know that two directly proportional quantities are in form 
, where,
k = Constant of variation.
Upon substituting our given values, we will get:
Therefore, the constant of variation is 5 and option B is the correct choice.
