Answer:
t-shirts: 2790
profit: $12209
Step-by-step explanation:
Given the function:
p(x) = -x³ + 4x² + x
we want to maximize it.
The following criteria must be satisfied at the maximum:
dp/dx = 0
d²p/dx² < 0
dp/dx = -3x² + 8x + 1 = 0
Using quadratic formula:
d²p/dx² = -6x + 8
d²p/dx² at x = -0.12: -6(-0.12) + 8 = 8.72 > 0
d²p/dx² at x = 2.79: -6(2.79) + 8 = -8.74 < 0
Then, he should prints 2.79 thousands, that is, 2790 t-shirts to make maximum profits.
Replacing into profit equation:
p(x) = -(2.79)³ + 4(2.79)² + 2.79 = 12.209
that is, $12209
We will be using the formula in looking for the volume of the cylinder which is
V = πr²h
where:
r = radius
h = height
V = volume
but in the problem V and r have values already:
r = 8
V = 4019.2
plug this in the volume equation:
V = πr²h
= 4019.2 = π* 8² * h
= 4019.2 = 64πh
= 4019.2 / 64π = h
so the answer is: h = 4019.2 /201.06193
= 19.99 is the height of the cylinder.
Hi, I think the answer may be 2.
How I got my answer:
If x equals 18, divide 18 by 3 and you'll get 6, then divide 6 by the other 3 and your quotient should be 2.
Hope I helped!
Answer:
Step-by-step explanation:
Answer
According to newton law of cooling
and
now At Ta = 100
T₀ = 10 °C
T₁ = 12° C
10 = C + 100
C = -90
now,
at time equal to t
T(t) = 70
t = 48.88 s
hence, after 48.88 s the temperature of the body will be 70°C
b) time taken to reach 98°C
t = 390 s
hence, after 390 s the temperature of the body will be 98°C
