Cálculo diferencial
2 answers:
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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
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
Answer:
The measure of angle A is 35°
The measure of angle B is 90°
The measure of angle C is 55°
Step-by-step explanation:
Let
x -----> the measure of angle A
y ----> the measure of angle B
z ----> the measure of angle C
we have
Observing the ratio
The smallest angle is x and the greatest angle is y
In a right triangle, the measure of the right angle is the greatest angle and the sum of the other two angles is equal to 90 degrees, because are complementary angles
so
y=90° -----> equation A
x+z=90° -----> equation B (by complementary angles)
x=35° -----> equation C (the smallest angle)
Substitute the value of x in equation B and solve for z
35°+z=90°
z=90°-35°=55°
therefore
The measure of angle A is 35°
The measure of angle B is 90°
The measure of angle C is 55°