Answer:
The number is 24
Step-by-step explanation:
Let x and y be the 2 digits .
Note that because x and y are integers and the original number is a multiple of 3 and 4, it must also be a multiple of 12.
So by trial and error:-
Let the number be 12:-
x + y = 3 and 4 * 3 = 12 so this fits the first condition.
x * y = 2 and 3 * 2 = 6 . This does not fit.
Let the number be 24:-
xy =24 , x + y = 6 and 4*6 = 24 . This fits.
x*y = 8 and x*y = 24 This fits.
The answer is 24
Maybe I can help you! What do you need help with?
Answer:
∑ₙ₌₀°° (-3x)ⁿ / n!
R = ∞
Step-by-step explanation:
Maclaurin series is:
∑ₙ₌₀°° f⁽ⁿ⁾(0) xⁿ / n!
Find the nth derivative and evaluate at x=0:
f(x) = e⁻³ˣ
f⁽ⁿ⁾(x) = (-3)ⁿ e⁻³ˣ
f⁽ⁿ⁾(0) = (-3)ⁿ
The Maclaurin series is therefore:
∑ₙ₌₀°° (-3)ⁿ xⁿ / n!
∑ₙ₌₀°° (-3x)ⁿ / n!
Use ratio test to find the radius of convergence.
lim(n→∞)│aₙ₊₁ / aₙ│< 1
lim(n→∞)│[(-3x)ⁿ⁺¹ / (n+1)!] / [(-3x)ⁿ / n!]│< 1
lim(n→∞)│(-3x) n! / (n+1)!│< 1
lim(n→∞)│3x / (n+1)│< 1
0 < 1
The radius of convergence is infinite.