Step-by-step Explanation:
We are going to solve this problem using integration by parts. We can write the integrand as
Comparing the above term to the left hand side, we can see that
(A + B)x = 4x
A + 3B = 0
Solving for A and B, we find that A = 6 and B = -2 so our integrand becomes
We can now easily integrate this expression as follows:
Answer:
It should be 2 hrs 36 minutes
Step-by-step explanation:
Closing speed:: 85 + 95 mph = 180 mph
Ans:: time = distance/rate = 468/180 = 2.6 hrs = 2 hrs 36 minutes
Answer:
Obtuse.
Step-by-step explanation:
If sides are a b and c, with c the longest:
c^2 = a^2 + b^2 = Right triangle
c^2 < a^2 + b^2 = Acute ...
c^2 > a^2 + b^2 = Obtuse ...
33^2 = 1089
25^2 = 625
9^2 = 81
625 + 81 = 706
1089 > 706 so the triangle is obtuse.
Answer:
(5 - 1)^2 + (1 - 1)^2 = 4^2
Step-by-step explanation:
Circle equation: ( x - h )^2 + ( y - k )^2 = r^2
(h,K) is the coordinate of the center.
Center: (1,1)
(x,y) choose a point that could be the radius. (I choose the one on the top left side).
Point: (5,1)
Diameter: 8
Radius: 4
Plug in:
( x - h )^2 + ( y - k )^2 = r^2
(5 - 1)^2 + (1 - 1)^2 = 4^2 (or 16)
Solve to see if it's true,
(5 - 1)^2 + (1 - 1)^2 = 4^2 (or 16)
4^2 + 0^2 = 4^2
16 = 16 (This is true, therefore, the equation is correct).
