A=22/10
A=integral(a,b) [f(x)-g(x)]dx
Since the function is even (the function is mirrored over the y axis) we can evaluate the integral from 0 to 1 and then multiply our answer by 2 since we have the same area on each side of the y axis.
We get A=2*int.(0, 1)[(x^2)-(-2x^4)]dx
Now we can integrate by term.
2*[int.(0, 1)[x^2]dx+int(0, 1)[2x^4]dx]
Now factor out constants.
2*[int(0,1)[x^2]dx+2int(0,1)[x^4]dx]
Now integrate.
2*[(x^3/3)|(0,1) + 2*(x^5/5)|(0,1)]
Now solve.
2*[(1/3)+2*(1/5)]
=22/10
Hope you can decipher what I wrote!
Step-by-step explanation:
A. 5x=12x-14
you will simplify the equation to the form, which is simple to understand
5x=12x-14
We move all terms containing x to the left and all other terms to the right.
+5x-12x=-14
We simplify left and right side of the equation.
-7x=-14
We divide both sides of the equation by -7 to get x.
x=2
B. 5B+12=BB=28
you will move all terms to the left:
.5B+12-(BB)=0
you will move all terms containing B to the left, all other terms to the right
.5B-BB=-12
V1=60. 60×t1=50×t2=S
V2=50
T=t1+t2=5. 5-t2=t1
60×(5-t2)=50×t2
300-60×t2=50×t2
300=50×t2+60×t2
300=t2×(50+60)
300=t2×110
300/110=t2
S=50×300/110
The LCM is 210
70×2=210
14×15=210
30×7=210
