Answer:

Step-by-step explanation:
Rewrite the equation as:

Isolating 

Factor:

Dividing both sides by
and multiplying them by 

Integrate both sides:

Evaluate the integrals:

Solving for y:

Evaluating the initial condition:


Converting 60 degrees to radians:

Replacing
in the diferential equation solution:

Answer:
4x² + 4x + 5
Step-by-step explanation:
Note that (f - g)(x) = f(x) - g(x), thus
f(x) - g(x)
= 5x² - 3 - (x² - 4x - 8 ) ← distribute parenthesis by - 1
= 5x² - 3 - x² + 4x + 8 ← collect like terms
= 4x² + 4x + 5
Answer:
36
Step-by-step explanation:
45*(9/5)=81(The whole score)
81-45=36(the second half score)