Step-by-step explanation:
In this case we have:
Δx = 3/n
b − a = 3
a = 1
b = 4
So the integral is:
∫₁⁴ √x dx
To evaluate the integral, we write the radical as an exponent.
∫₁⁴ x^½ dx
= ⅔ x^³/₂ + C |₁⁴
= (⅔ 4^³/₂ + C) − (⅔ 1^³/₂ + C)
= ⅔ (8) + C − ⅔ − C
= 14/3
If ∫₁⁴ f(x) dx = e⁴ − e, then:
∫₁⁴ (2f(x) − 1) dx
= 2 ∫₁⁴ f(x) dx − ∫₁⁴ dx
= 2 (e⁴ − e) − (x + C) |₁⁴
= 2e⁴ − 2e − 3
∫ sec²(x/k) dx
k ∫ 1/k sec²(x/k) dx
k tan(x/k) + C
Evaluating between x=0 and x=π/2:
k tan(π/(2k)) + C − (k tan(0) + C)
k tan(π/(2k))
Setting this equal to k:
k tan(π/(2k)) = k
tan(π/(2k)) = 1
π/(2k) = π/4
1/(2k) = 1/4
2k = 4
k = 2
Answer:
$31.96
Step-by-step explanation: multiply without the decimal, the put it in once multiplied
799 * 4 = 3196
then put in the decimal... 31.96
Answer: 
Step-by-step explanation:
<h3>
The complete exercise is: "Write an expression using letters and/or numbers for each problem below"</h3>
For this exercise it is necessary to remember the following:
1. The word "times" indicates multiplication,
2. The word "combined" indicates addition.
In this case let "m" represents the amount of miles that Madison runs and let "a" represents the amount of miles that Aaliyah runs.
Based on the explained above, you know if the amount of miles that Madison runs and the amount of miles that Aaliyah runs are combined (or in other words, they are added), then the expression that represents this would be:
Therefore, you can determine that "4 times as many miles as Madison and Aaliyah combined", can represented with the following expression:
Answer:
4. 480.38m² 6. 3.35
Step-by-step explanation:
Assuming you're looking for the area of the shaded region, you must first be aware that the entire circle has a 360 angle.
From there. for no. 4:
You subtract 87 from 360 to find the angle of the major arc.
360-87=273
From there you must also know the formula to find the area of a sector which is:
(x/360)×pi×r²
In our case 273 is x and 14.2 is r so
(273/360)×pi×14.2²= 480.38
Do the same steps to find 6
