a) The first integral corresponds to the area under y = f(x) on the interval [0, 3], which is a right triangle with base 3 and height 5, hence the integral is
b) The integral is zero since the areas under the curve over [3, 4] and [4, 5] are equal but opposite in sign. In other words, on the interval [3, 5], f(x) is symmetric and odd about x = 4, so
c) The integral over [5, 9] is the negative of the area of a rectangle with length 9 - 5 = 4 and height 5, so
Then by linearity, we have
Answer:
A got 243 tk
Step-by-step explanation:
Supose the amount C got was "x"
12 times B's share is 6 times C's share, that would be:
B = 6x
Also, 8 times A's share is 12 times B's share, that would be:
8A = 12B
8A = 12(6x)
8A = 72x
A = 72x/8
A = 9x
Now, we can say:
A = 9x
B = 6x
C = x
We know total is 432, thus we can write and solve for x first:
A + B + C = 432
9x + 6x + x = 432
16x = 432
x = 432/16
x = 27
A got "9x", so plugging in x = 27, we know:
A got 9*27 = 243 tk
Answer:
5 in^2
Step-by-step explanation:
Area of square: 2*2=4
Area of triangle: 2*1/2=1
4+1=5
When given the scale factor, just multiply!
8cm * 2.5 = 20cm per side