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:
Step-by-step explanation:
Sum of exterior angles of any polygon =360°
Sum of exterior angles of polygon = 360°
m + 5 + 2m + 3 + 3m + 2 + 4m + 1 + 5m + 4 = 360
m + 2m + 3m + 4m + 5m + 5 + 3 + 2 + 1 + 4 = 360 {Combine like terms}
15m + 15 = 360 {Subtract 15 from both sides}
15m = 360 - 15
15m = 345 {Divide both sides by 15}
m = 345/15
m = 23
m + 5 = 23 + 5 = 28°
2m + 3 = 2*23 + 3 = 46 + 3 = 49°
3m + 2 = 3*23 + 2 = 69 + 2 = 71°
4m + 1 = 4*23 + 1 = 92 + 1 = 93°
5m + 4 = 5*23 + 4 = 115 + 4 = 119°
15 cookies burned because if you Turn
into a decimal then multiply it by 20 you get 15 and thats your answer.
Answer:
Equation: y=1.5x+4 Will total $10 after 4 hours
Step-by-step explanation:
Format: y=mx+b
y is total cost
m is per hour
b is starting cost
Equation: y=1.5x+4
After 4 hours, it will be $10 because:
10=1.5x+4
subtract 4 both sides
6=1.5x
divide 6 by 1.5
4=x
Hence the 4 hours answer
Answer: The midpoint of AB should be (3,8)
Explanation: Try drawing the triangle using the information given and find the midpoint of AB then measure it
The pic is not drawn to scale but just to get an idea
