(1+x^2)^8
=(1+8x^2+8*7/(1*2)x^4+8*7*6/(1*2*3)x^6+8*7*6*5/(1*2*3*4)x^8+....)
=1+8x^2+28x^4+56x^6+70x^8+....)
For x<1, higher power terms diminish in value, hence we can approximate powers of numbers.
1.01=(1+0.1^2) => x=0.1 in the above expansion
(1.01)^8
=1+8(0.1^2)+28(0.1^4)+56(0.1^6) [ limited to four terms, as requested]
=1+0.08+0.0028+0.000056 (+0.00000070)
=1.082856 (approximately)
The answer is -3<x<-1/2 the keypad doesn't have the greater or equal to sign thingy but that what you would put. hoped this helped
3.75 calories a minute. We get this number by dividing 75 by 20.
(x,y) to (x,-y). As the triangle is reflected across the x axis, the x value stays the same. Being reflected, the y value is reversed (from negative to positive because the shape is going from below to above)
Hope that made sense
