We are asked in the problem to determine the limit of integral of x dx as x approaches to 2. In this case, the first step to do is to integrate first the function. The integral of x dx by the power rule is equal to x^(n+1)/n+1. In this case, since n is equal to 1 from the given, then integral of x dx is equal to x^2/2. To evaluate the limit of x as x approaches to 2, we just have to substitute x by 2, that is
2^2 / 2 equal to 2. Hence the answer to this problem is equal to 2.
Answer:
140 min
Step-by-step explanation:
(60*7/5)*10/10=140
Answer:
Step-by-step explanation:
If the circumference of the circle is x cm the perimeter of the square will be 38-x cm.
The area of the square = (38-x)^2.
The radius r of the circle = circumference /2π = x / 2π.
The area of the circle = πr^2 = π * (x / 2π)^2
= x^2/ 4π.
So total area A = (38 - x)^2 + x^2/4π
A = 1444 - 76x + x^2 + x^2/ 4π
A = x^2 - 76x + 0.07958x^2 + 1444
A = 1.07958x^2 - 76x + 1444
Answer:
see below
Step-by-step explanation:
1st pic: m>-64
2nd pic: x≤
3rd : x>-1.4, use the 4th arrow for this (not filled in circle starts at -1.4)
4th: z>1.25 use 4th arrow again
5th: p ≥ 4 use the 2nd arrow
Answer:
BC ≈ 98.95 feet
Step-by-step explanation:
From the figure attached,
A shark is swimming 42 feet below sea level at point A and a boat on the water is at point C.
If the angle of depression from the coat to shark is 23°,
tan(23°) =
tan(23°) =
BC =
BC =
BC = 98.947
BC ≈ 98.95 feet