= 33
the n th term of an arithmetic sequence is
=
+ (n - 1 )d, hence
= 13 + (5 × 4 ) = 13 + 20 = 33
I need helo with this test
2 answers:
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Answer:
<u>Step-by-step explanation:</u>
(a) First, find the x-coordinates where the two equations cross
y = -1 and y = 3 - x²
-1 = 3 - x²
-4 = -x²
4 = x²
± 2 = x → These are the upper and lower limits of your integral
Then subtract the two equations and integrate with upper bound of x = 2 and lower bound of x = -2
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(b) We know the upper and lower bounds of the y-axis as y = 3 and y = -1
Next, find the equation that we need to integrate by solving for x.
y = 3 - x²
x² + y = 3
x² = 3 - y
x
Now, subtract the two equations and integrate with upper bound of y = 3 and lower bound of y = -1