Answer:
a) The sequence converges to 0
b) The lenght of the curve is
Step-by-step explanation:
Consider the sequence
a) We will prove it using the sandwich lemma. Note that for all n , then
Note that the expressions on the left and the right hand side have a greater degree on the denominator than the one on the numerator. Then, by takint the limit n goes to infinty on both sides, we have that
So, the sequence converges to 0.
b) The function the formula of curve lenght is given by
in this case, a=1, b=6
Note that . Then
. Take u = 1+36x. Then du= 36dx (i.e du/36 = dx). If x = 1, then u = 37 and if x = 6 then u = 217. So,
You could do 3 ten dollar bills, 5 six dollar bills, two fifteen dollar bills and probably a few more. If you had $45 you could use 8 five dollar bills, 8 five dollar bills
Answer: 1)100ways and 2)90ways
Step-by-step explanation:
Given :-The 10 students who completed a special flying course are waiting to see if they will be awarded the one Distinction or the one Merit award for their efforts.
Ways can the two awards be given if the same student can receive both awards (i.e repetition is allowed)
=10×10=100ways
Ways can the two awards be given if the same student cannot receive both awards(i.e. repetition is not allowed)
=10×9=90ways
He could have 30 dimes and 13 quartars
The answer is 81x^8 because of the exponent