Answer:
C) {6+√43, 6-√43}
Step-by-step explanation:
Applying,
x = [-b±√(b²-4ac)]/2a.................... Equation 1
From the question,
Given: a = 1, b = -12, c = 7
Substitute these values into equation 1
x = [-(-12)±√(-12²+4×1×7)]/2×1
x = [12±√(144+28)]/2
x = [12±√172]/2
either,
x = (12-√172)/2
x = (12-2√43)2
x = (6+√43)
or
x = (12+√172)/2
x = (12+2√43)/2
x = (6+√43)
Hence,
The right answer is C). {6+√43, 6-√43}
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:
The water is 208.22ft from the tug boat
Step-by-step explanation:
The governing equation is 
y is the height above the ocean
x is the distance from the tugboat
if y= 6ft, the equation will now become

we can arrange this properly to form a quadratic equation by grouping like terms.

solving quadratically we have two values of x as 208.22ft and 0.873 ft.
We can take a more realistic value as a solution to our problems:
208.22ft
The answer is 1. Please mark brainelist
Answer:
a-2=a-2
Step-by-step explanation:
Here it is, you just have to notice that the numerator has common factors alternated. You will then collect the same parentheses and simplify with the denominator.