Start with the general formula. The key word is difference. So the general formula is
D(x) = W(x) - R(x) Now substitute in the values for W(x) and R(x)
D(x) = 0.002x^3 - 0.01x^2 - (x^2 - 4x + 13) Be very careful about the sign in front of the brackets.
D(x) = 0.002x^3 - 0.01x^2 - x^2 + 4x - 13 Do you see what that minus sign did? It affected all 3 terms.
D(x) = 0.002x^3 - 1.01x^2 + 4x - 13 <em>Note: -0.01 - 1x^2 = - 1.01 x^2</em>
That gives you a clear cut answer
C<<<<< answer.
That sign is the worst part of the question. Make sure you understand what it did.
The given data is
t, h: 0 2 4 6 8 10
r(t), L/h: 8.6 7.9 6.8 6.4 5.7 5.3
The lower and upper estimates for the total amount that leaked may be computed as the Left and Right Riemann sums.
The shape of the graph of r versus will determine which of the two sums yields an upper or lower sum.
The plot of the graph is shown below.
The Left Riemann sum is
Sl = 2*(8.6+7.9+6.8+6.4+5.7) = 70.8 L
The Right Riemann sum is
Sr = 2*(7.9+6.8+6.4+5.7+5.3) = 64.2 L
Answer:
The lower estimate for oil leakage is 64.2 L
The upper estimate for oil leakage is 70.8 L
2x4 is the answer to 4x-2=38
The surface area of a sphere is given by

We deduce

So, in your case, the radius is

The volume of a sphere is given by

So, we have

Costs would be nine dollars for the lemons and four dollars for the sugar ($-13.00). You end up losing only fifty cents throughout, so you would have had to sell (.5×25=12.50) 25 cups to pay for all but fifty cents.
Answer is 25 cups