Answer:
-ln|x−5| + 2 ln(x²+4) + 3 tan⁻¹(x/2) + C
Step-by-step explanation:
The fraction will be split into a sum of two other fractions.
The first fraction will have a denominator of x − 5. The numerator will the a polynomial of one less order, in this case, a constant A.
The second fraction will have a denominator of x² + 4. The numerator will be Bx + C.
Combine the two fractions back into one using the common denominator.
This numerator will equal the original numerator.
Match the coefficients.
Solve the system of equations.
So we can rewrite the integral as:
Solving:
You are basically finding the hypotenuse of a triangle with side lengths of 120 yards and 120 yards.
Using the equation a^2 + b^2 = c^2, solve for c (hypotenuse) where a and b are the side lengths (120 yards).
a^2 + b^2 = c^2
square root(a^2 + b^2) = c
square root (120^2 + 120^2) = c
square root (120^2 + 120^2) = c
square root (14400 + 14400) =c
square root (28800) = 169.7, rounded up to 170 yards of fencing needed.
Answer:
Range: {0,3,6}
Step-by-step explanation:
The range is the output, or in this case, the y values
Range: {0,3,6}
I’m guessing 16. You can have one group of 16 boys and two groups of 16 girls