Topic Test
1 answer:
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Answer:
(Missing part of the question is attached)
Estimates are too large.
Step-by-step explanation:
Suppose the only information we know about the function is:
where the graph of its derivative is shown in the attachment
<h3>(a)</h3>If the function is differentiable at point
, the tangent line to the graph of
at 1 is given by the equation:
So we call the linear function:
We know the as it is given in the question, and
from the graph attached. Substitute in the equation of
.
At x=1, is positive but it is decreasing. However. if we draw the tangent lines, we see that the tangent lines are becoming less steeper, so the tangent lines lie above the curve
. Thus, The estimates are too large.
Answer:
The answer is x+8.
Because you gotta factor out first and then cancel.
Answer:
27 and 32.
Step-by-step explanation:
Let the two numbers be A and B.
The larger number (let's use B) is 5 more than the smaller one (A). In other words:
Their sum is 59. So:
This is a system of equations. Solve by substituting the first equation into the second. Thus:
Combine like terms:
Subtract 5 from both sides:
Divide both sides by 2:
So, the smaller number is 27.
This means that the bigger number is 27+5=32.
So, the two numbers are 27 and 32.
And we're done!