First you have to change them to improper fractions
<span>You get 11/3 times 72/5 </span>
<span>Then cross out the thirds.</span>
<span>you'll get 11 times 24/5, </span><span>11 times 24 = 264
then divide it by five </span>
<span>you get 52 4/5</span>
your final answer is 52 4/5
a. Factorize the denominator:
Then we're looking for such that
If , then ; if , then . So we have
as required.
b. Same setup as in (a):
We want to find such that
Quick aside: for the second term, since the denominator has degree 2, we should be looking for another constant such that the numerator of the second term is . We always want the polynomial in the numerator to have degree 1 less than the degree of the denominator. But we would end up determining anyway.
If , then ; if , then . Expanding everything on the right then gives
which tells us and ; in both cases, we get . Then
as required.
To find the residual I would subtract the predicted value from the measured value so for x-value 1 the residual would be 2-2.6 = -0.6
Answer:
Step-by-step explanation: