Answer: 7.142857 or 7 1/7
Step-by-step explanation:
Step-by-step explanation:
subtract
Answer:
X = 0, π/2 in the interval [0, 2pi).
Step-by-step explanation:
Use the auxiliary angle method:
R sin(x + a) = Rsin x cos a + Rcos x sin a = 1
sin x + cos x = 1
Comparing coefficients:
R cos a = 1 and R sin a = 1, so
tan a = R sin a / R cos a = 1
So a = π/4 radians.
Also R^2(sin^2 a + cos^2 a) = 1^2 + 1^2 = 2
Therefore R = √2.
So √2 sin (x +π/4 = 1
sin x + π/4 = 1/√2
x + π/4 = π/4
x = 0 radians
Also
x = 0 + π/2 = π/2.
Answer:
The parts it includes is everything from elementary equation solving to the study of abstractions such as groups, rings, and fields. The more basic parts of algebra are called elementary algebra; the more abstract parts are called abstract algebra or modern algebra. Examples of ways that we use algebra are finding the distance, perimeter of an area, volume, determining the cost of something, renting something, time relationships, pricing options for something you want to buy, and more.
Step-by-step explanation:
Answer:
Step-by-step explanation:
You are given this data:
![\left[\begin{array}{cccccccccccc}long&0&1.5&3&4.5&6&7.5&9&10.5&12&13.5&15&&\\Area&0&18&59&78&93&105&118&128&63&38&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccccccccccc%7Dlong%260%261.5%263%264.5%266%267.5%269%2610.5%2612%2613.5%2615%26%26%5C%5CArea%260%2618%2659%2678%2693%26105%26118%26128%2663%2638%260%5Cend%7Barray%7D%5Cright%5D)
First, calculate the x points by dividing the total length in 5:
x=3,6,9,12,15
Now you calculate the half point of the x axis intervals you just calculated:
and find the function values of each of them (the Area for each cut):
A(1.5) = 18
A(4.5)=78
A(7.5)=105
A(10.5)=128
A(13.5)=38
Now you have formed the rectangles (see diagram below).
To calculate the volume, just use the next equation given by the midpoint rule:
