Area of circle =π *r^2
so π*r^2 = π(16x^2 + 24x + 9)
r^2 = 16x^2 + 24x + 9
= (4x +3)(4x+3)
= (4x +3)^2
Take square roots of both sides
r = 4x +3
Answer:
Step-by-step explanation:
a)
this can be done by substitute lnx = u
dx/x = du
When x =1, u =0 and when x =2, u = ln 2
So integral = 
We find that this integral value is not definid for p =1
Hence for values of p other than 1, this converges.
When we substitute limits
and converges for p ≠1
b) 
So not converging for p =1
But ln x is defined only for x >0
So integral 0 to 1 makes this integral not valid and hence not convergent.
Answer:
12.66 yards/hour
Step-by-step explanation:
38 feet/3 feet per yard=12.66 yards
Answer:
1.25
Step-by-step explanation:
15/12
Given that the graph shows tha the functión at x = 0 is below the y-axis, the constant term of the function has to be negative. This leaves us two possibilities:
y = 8x^2 + 2x - 5 and y = 2x^2 + 8x - 5
To try to discard one of them, let us use the vertex, which is at x = -2.
With y = 8x^2 + 2x - 5, you get y = 8(-2)^2 + 2(-2) - 5 = 32 - 4 - 5 = 23 , which is not the y-coordinate of the vertex of the curve of the graph.
Test the other equation, y = 2x^2 + 8x - 5 = 2(-2)^2 + 8(-2) - 5 = 8 - 16 - 5 = -13, which is exactly the y-coordinate of the function graphed.
Then, the answer is 2x^2 + 8x -5
