Answer:
- g(2.95) ≈ -1.8; g(3.05) ≈ -0.2
- A) tangents are increasing in slope, so the tangent is below the curve, and estimates are too small.
Step-by-step explanation:
(a) The linear approximation of g(x) at x=b will be ...
g(x) ≈ g'(b)(x -b) +g(b)
Using the given relations, this is ...
g'(3) = 3² +7 = 16
g(x) ≈ 16(x -3) -1
Then the points of interest are ...
g(2.95) ≈ 16(2.95 -3) -1 = -1.8
g(3.05) ≈ 16(3.05 -3) -1 = -0.2
__
(b) At x=3, the slope of the curve is increasing, so the tangent lies below the curve. The estimates are too small. (Matches description A.)
Answer:
is the correct answer.
Step-by-step explanation:
bisects
at
, so, 
Answer:
36 years old (jim)
Step-by-step explanation:
looks like a good ol' word problem!
first, if you don't know what to do, always assign variables
Jim's age: x+9
June's age: x
Alex's age: x-8
we know the sum of their ages which is 82
so, x+9+x+x-8=82
simplify
3x+1=82
3x=81
x=27, but we're not done yet
Now we know x
jim: 36
june: 27
Alex: 21
so the oldest is jim at 36
For the first month, the membership fee deducted = $15
So, -15(1) will represent this situation.
Similarly, for the second, third, fourth months, the expressions will be:
-15(2), -15(3), -15(4) and so on.
Hence, if t represents the number of months, then -15t will represent ash's art club membership being deducted every month for a year.
Answer:
what expression?
Step-by-step explanation: