Answer:
65,000
Step-by-step explanation:
plz mark brainliest
The first 8 on the left in this number has a value of 800.
Your max amount for this is $20. Let's say x represents the number of gallons.
20 ≥ 3.2x
x = 6.25 gallons
If they're asking for integers or whole numbers, you'd round down to 6 because you only have enough money for 6 full gallons. If you rounded up to 7, you wouldn't be able to fill it up completely because then you'd be over your $20.00 budget for gas.
Answer:
A.
Step-by-step explanation: By looking at the image it shows 2 not 4.
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