Answer:
D(V) = 100,48 cm³
Step-by-step explanation:
The volume of a sphere is:
V(s) = 4/3 π*r³
Where r is the radius of the sphere
If we take derivative of V respect r
D(V)/ dr = 4/3*3*π*r² ⇒ D(V)/ dr = 4*π*r² ⇒ D(V) = 4*π*r²*dr
We know:
r = 20 cm and dr = 0,02 ( at most)
Then
D(V) = 4*π*(20)²*0.02 cm³
D(V) = 32*π
D(V) = 100,48 cm³
Answer:
1/2 and 3
Step-by-step explanation:
The quadratic formula is as given:
( -b±√(b^2-4ac) )/2a
To use it, plug in the a,b and c values.
ax^2+bx+c
In this case a is equal to 2, b is equal to -7, and c is equal to 3
plugging it into our formula gives us:
(-(-7)±√(-7^2-4*2*3) )/2*2
Which is equal to:
7±√(49-24) / 4
= 7±√25 / 4
=7±5 / 4
=2/4, 12/4= 1/2, 3
<span>"Find the value of the derivative (if it exists) at each indicated extremum. To solve this, apply derivatives in calculus.
f (x) = cos(πx/2)
the first derivative is the change at the indicated extremum
f'(x) = -</span>π/2sin(πx/2)
The measure of angle B is 97°