Answer:
sinx =1-\frac{1}{2} (x-\frac{\pi}{2} )^2+\frac{1}{24} (x-\frac{\pi}{2} )^4-\frac{1}{720} (x-\frac{\pi}{2} )^6+\frac{1}{40320} (x-\frac{\pi}{2} )^8+...
Step-by-step explanation:
given that f(x) = sin x
we have to find the Taylor series for that
and so on.
i.e. 2nd, 4th, 6th terms would be 0
and also 1st, 5th, 9th terms would be positive for f value and 3rd, 9th,... would be negative
Using the above we can write Taylor series as
This is valid for all real values of x.
x ∈
I got -0.5 if you divide it like this 16 divided by (-8) you will get -2 but if you flip them you get 0.5. If you need more help on stuff like this then you can always use desmos | scientific calculator
If you have to unknown variables, you have to eliminate one, e.g. Like this:
2×(2y-10)+3y=1240. Now there is only one unknown variable
4y-20+3y=1240
7y-20=1240
7y=1260
y=1260/7=180
Now you can calculate x
x=2y-10=2×180-10=360-10=350. ( You can also use the other equation but This one is easier)
B. g(x) = 42
A flip over the x-axis means you flip the sign. A stretch means you multiply the factor of stretch to the coefficient.
We already know that the box has an area of 100 sq. inches. All we have to do now is subtract the area of the 4 circles from the area of the box.
The formula for a circle's area is 
. We already know the radius, so one circle has an area of 12.56 units (4π in terms of pi). There are 4 circles, making your final equation 
.
