Answer: zeros are 10 and negative 10
Step-by-step explanation:
(x-10) (x+10)
Answer:
<em>The train must travel at 50 km/hr to make it on time.</em>
<em></em>
Step-by-step explanation:
distance to be covered = 55 km
time to cover this distance = 1 hr 20 min
1 hr 20 min = 1.33 hrs (20 min = 20/60 hrs = 0.33 hrs)
The train travels the first 30 km distance at a speed of 36 km/hr
and we know that time taken = distance/speed
therefore the time taken to run this 30 km will be
time = 30/36 = 0.83 hr
The train still has 55 - 30 = 25 km to cover,
and the time left is 1.33 - 0.83 = 0.5 hrs left
to make it on time, the train must travel at
speed = distance/time = 25/0.5 = <em>50 km/hr</em>
4. Compute the derivative.

Find when the gradient is 7.

Evaluate
at this point.

The point we want is then (2, 5).
5. The curve crosses the
-axis when
. We have

Compute the derivative.

At the point we want, the gradient is

6. The curve crosses the
-axis when
. Compute the derivative.

When
, the gradient is

7. Set
and solve for
. The curve and line meet when

Compute the derivative (for the curve) and evaluate it at these
values.



8. Compute the derivative.

The gradient is 8 when
, so

and the gradient is -10 when
, so

Solve for
and
. Eliminating
, we have

so that
.
Volume of a sphere = (4/3)(pi)r^3
(4/3)(12.3)^3 = 2481.156 pi cm^3