First of all, we compute the points of interest, i.e. the points where the curve cuts the x axis: since the expression is already factored, we have
Which means that the roots are
Next, we can expand the function definition:
In this form, it is much easier to compute the derivative:
If we evaluate the derivative in the points of interest, we have
This means that we are looking for the equations of three lines, of which we know a point and the slope. The equation
is what we need. The three lines are:
This is the tangent at x = -2
This is the tangent at x = 0
This is the tangent at x = 1
Step-by-step explanation:
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Answer:
1/3(3.14)2^2(24)
Step-by-step explanation:
The volume of a cone is given by the formula;
1/3πr³
Considering the radius is 2 cm and the height is 24 cm (4 times the diameter).
Therefore;
Volume = 1/2(3.14)2²(24)
This can be used to calculate the volume.
Answer:
Step-by-step explanation:
The length of one revolution of the sprocket is ...
C = 2πr = 2π(1.5 in) = 3π in
Then the length of 3250 revolutions is ...
3250(3π in) = 30,630.53 in
About 30,631 inches of chain travel past the sprocket in one minute.
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There are 12 inches in a foot, so the number of feet is ...
30,630.53 in/(12 in/ft) = 2552.54 ft
About 2553 feet of chain travel past in one minute.
Answer:
8
Step-by-step explanation: 128 / 16 = 8. So 128 dollars by 16 dollars is 8 dollars
