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:the tip itself will be $6.20 but in total it will all cost $68.20
Step-by-step explanation:
Answer:
2v+2
Step-by-step explanation:
Answer:
0.53πrad
Explanations:
Given the radius of the circular track = 60metres
If she walks a total of 100 meters, the length of the arc of the circle = 100metres
To calculate the radian angle she rotates about the center of the track, we will use the formula for calculating the length of an arc
L = θ/360° × 2πr
100 = θ/360× 2π(60)
36000 = 120π × θ
36000 = 376.8θ
θ = 36000/376.8
θ = 95.5°
Since 180° = πrad
95.5° = x
x = 95.5π/180
x = 0.53π rad
A is the correct answer.
break down the word problem.
You also have to recognize key words which figure into mathematical symbols.
ex. sum of a number and 20 is x+20
square of the number and 9 is (x+9)^2
please vote my answer brainliest! thanks.
