Answer:
forty-eight point fifteen
Answer:
r = 31.2
Step-by-step explanation:
Δ ACE and Δ BCD are similar, thus the ratios of corresponding sides are equal, that is
= 
, substitute values
= 
( cross- multiply )
40r = 1248 ( divide both sides by 40 )
r = 31.2
Answer:
Step-by-step explanation:
The first solution is quadratic, so its derivative y' on the left side is linear. But the right side would be a polynomial of degree greater than 1, so this is not the correct choice.
The third solution has a similar issue. The derivative of √(x² + 1) will be another expression involving √(x² + 1) on the left side, yet on the right we have y² = x² + 1, so that the entire right side is a polynomial. But polynomials are free of rational powers, so this solution can't work.
This leaves us with the second choice. Recall that
1 + tan²(x) = sec²(x)
and the derivative of tangent,
(tan(x))' = sec²(x)
Also notice that the ODE contains 1 + y². Now, if y = tan(x³/3 + 2), then
y' = sec²(x³/3 + 2) • x²
and substituting y and y' into the ODE gives
sec²(x³/3 + 2) • x² = x² (1 + tan²(x³/3 + 2))
x² sec²(x³/3 + 2) = x² sec²(x³/3 + 2)
which is an identity.
So the solution is y = tan(x³/3 + 2).
A) Sue
2300(1+2.4%)^3
= 2469.606195
2469.606195-2300
=£169.6061952
Bill
1800(1+3.4%)^3
=1989.913147
1989.913147-1800
=189.9131472
b) Bill
