Answer:
1. 8x^3+6x^2+7
Step-by-step explanation:
3(n - 5) = 24
Distributive property
3*n = 3n
3*5 = 15
3n - 15 = 24
+ 15 +15
3n = 39
3n/3 = 39/3
x = 39/3
x = 13
Answer: x = 13
Answer:
ln|sec θ + tan θ| + C
Step-by-step explanation:
The integrals of basic trig functions are:
∫ sin θ dθ = -cos θ + C
∫ cos θ dθ = sin θ + C
∫ csc θ dθ = -ln|csc θ + cot θ| + C
∫ sec θ dθ = ln|sec θ + tan θ| + C
∫ tan θ dθ = -ln|cos θ| + C
∫ cot θ dθ = ln|sin θ| + C
The integral of sec θ can be proven by multiplying and dividing by sec θ + tan θ, then using ∫ du/u = ln|u| + C.
∫ sec θ dθ
∫ sec θ (sec θ + tan θ) / (sec θ + tan θ) dθ
∫ (sec² θ + sec θ tan θ) / (sec θ + tan θ) dθ
ln|sec θ + tan θ| + C
You would multiply 32,000 x 0.05 = 1,600 so
1,600 x 4 = 6,400
So the population would grow by 6,400 every 4 years.
Due to the ambiguous case of the law of sines, two different triangles could be created. There may be a second angle if you are given two sides and the angle not in between. The ambiguous case may result in one solution, two solutions or no solutions therefore there can be one, two or no triangles.
