Answer:
42x^2 - 7x - 6x + 1
42x^2 - 13x + 1 for FOIL method
To solve for x
7x - 1 = 0
7x = 1
x = 1/7
6x - 1 = 0
6x = 1
x = 1/6
Step-by-step explanation:
Answer:
2.875
Step-by-step explanation:
you have to change them into decimals. so 5 3/4 would be 5.75 and 2 7/8 would be 2.875. once you do that you can subtract
If the cosine is 1/2, and the angle is acute, then the angle is 60 degrees. Using the rules for a 30-60-90 right triangle, hyp=2 times the short leg. So 7/2= 3.5.
Answer:
2pi/15
Step-by-step explanation:
The intersection of y=x and y=x^2 is (0,0) and (1,1)
Washer method
Prefered this method for this one since slices are perpendicular to axis of rotation
Integrate(Big circle - Small Circle)dx
Integrate(pi*(x)^2-pi*(x^2)^2)dx on x=0..1
Integrate(pi*x^2-pi*x^4)dx on x=0..1 is 2pi/15
Shells method
So I have to solve for x since I will be integrating with respect to y
The height of the the shell will be sqrt(y)-y
The radius will be y since that is the distance between axis of rotation in a point within the shell
Integrate(2*pi*r*h ) dy
Integrate(2*pi*(sqrt(y)-y)*y) dy on y=0..1 is 2pi/15
