(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)
Answer:
C=5.831
a=30.964
b=59.036
Step-by-step explanation:
Answer:
Anupama wants to purchase a curtain of window for her study room, she measures its length as 14 m, breadth as 3m, how much cloth will she purchase?Geometry is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space that are related with distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is called a geometer. Wikipedia
A reference angle is always between 0-90. so 360-295=65deg.
<span>Hints: </span>
<span>Quadrant I angle: reference angle is same as given angle. </span>
<span>Quad II: subtract angle from 180 </span>
<span>Quadrant III: subtract 180 from angle </span>
<span>Quad IV: subtract angle from 360.</span>
Answer:
Step-by-step explanation:
You didn't mark your graph but I'm assuming the point is (1,2)
You notice how the function stops at the point? x and y can not be above that point because there is no line above it.
The domain of the function means what can x possibly be.
The maximum value of x in this function is 1 because that's the x value of the point where the function ended. This means x can at most be one or x≤1. So the domain is x≤1.
The range of the function means what can y possibly be.
The maximum value of y in this function is 2 because that's the y value of the point where the function ended. This means y can at most be two or y≤2. So the range is y≤2.
