Answer:
(e) csc x − cot x − ln(1 + cos x) + C
(c) 0
Step-by-step explanation:
(e) ∫ (1 + sin x) / (1 + cos x) dx
Split the integral.
∫ 1 / (1 + cos x) dx + ∫ sin x / (1 + cos x) dx
Multiply top and bottom of first integral by the conjugate, 1 − cos x.
∫ (1 − cos x) / (1 − cos²x) dx + ∫ sin x / (1 + cos x) dx
Pythagorean identity.
∫ (1 − cos x) / (sin²x) dx + ∫ sin x / (1 + cos x) dx
Divide.
∫ (csc²x − cot x csc x) dx + ∫ sin x / (1 + cos x) dx
Integrate.
csc x − cot x − ln(1 + cos x) + C
(c) ∫₋₇⁷ erf(x) dx
= ∫₋₇⁰ erf(x) dx + ∫₀⁷ erf(x) dx
The error function is odd (erf(-x) = -erf(x)), so:
= -∫₀⁷ erf(x) dx + ∫₀⁷ erf(x) dx
= 0
Answer:
5:17pm
Step-by-step explanation:
Answer:
The width of the rectangular patio is 8 1/4 feet, or as a decimal, 8.25 feet
Step-by-step explanation:
Answer: The number of rolls of paper is 
.
Step-by-step explanation: Given that Andy is hanging wallpaper in his kitchen. 6 rolls of wallpaper is used to cover 
of the walls.
We are to find the number of rolls of paper used per wall.
We will be using unitary method to solve the given problem.
We have,
Now, number of rolls used to cover 
of the walls = 6.
Therefore, number of rolls used to cover 1 wall is given by
Thus, rolls of paper used per wall.
Step-by-step explanation:
the slope of a line or linear equation is always the factor of the driving variable.
usually in the form of
y = ax + b
x is the variable, and a the slope.
but in our case the variable is called "n".
it does not matter, the same principle applies.
the slope is the factor of n : 1050.
and as the slope is always the ratio y/x, we are looking for a fraction form, and that would be 1050/1.
so, the third answer is correct.
