Answer with Step-by-step explanation:
We are given that if f is integrable on [a,b].
c is an element which lie in the interval [a,b]
We have to prove that when we change the value of f at c then the value of f does not change on interval [a,b].
We know that limit property of an integral
....(Equation I)
Using above property of integral then we get
......(Equation II)
Substitute equation I and equation II are equal
Then we get
Therefore, 
.
Hence, the value of function does not change after changing the value of function at c.
Answer:
The side lengths are the same.
Step-by-step explanation:
A rigid transformation does not change any dimensions. The side lengths are the same.
Answer:
Step-by-step explanation:
So since triangle jkl and wyz are similar angles j and w must equal each other, angles k and y must equal each other, and angles l and z are equal. So to find x just set 4x-13 equal to 71
4x-13=71
add 13 to both sides to cancel the -13 from the left
4x=84
and divide both sides by 4 to cancel the 4 on the left
x=21
Answer:
322.28
A
Step-by-step explanation:
Area of the rectangle
L = 30
W = 21
Area = 30 * 21
Area = 630
Area of the circles
Radius = 7 m
Area = pi r^2
Area = 3.14 * 7^2
Area = 153.86 m^2
Area of both circles = 307.72
Area of the Shaded Region
Area of shaded region = area of the rectangle - area of 2 circles.
Area of Shaded Region = 630 - 307.72
Area of Shaded Region = 322.28
