Answer:

Step-by-step explanation:
We are given that
Equation of curves


Both curves lie on S.
We have to find the equation of tangent plane at P(4,1,4).


Hence, t=0 and u then it satisfied the given point.
Substitute the values in the derivatives


The equation of tangent at point P(4,1,4) is given by




Answer:
Step-by-step explanation:
To get the area of the cone we need to find the radius first.
tan 70=r/12
r=12tan 70
area of a circle is given by:
A=πr²
thus the area of the ground covered by the tent will be:
A=π(12tan70)²
The answer is
A] A=π(12tan70°)²
Answer:
2.5 second
Step-by-step explanation:
The equation is missing in the question.
The equation is,
, where 'h' is the height and 't' is time measured in second.
Now we know to reach its maximum height, h in t seconds, the derivative of h with respect to time t is given by :

Now the differentiating the equation with respect to time t, we get


For maximum height, 
So, 



Therefore, the ball takes 2.5 seconds time to reach the maximum height.
Answer:
80 minutes or 1 h 20 minutes
Step-by-step explanation:
15-13=2
2/0.025=80
So we can conclude that it takes 80 minutes till it reaches 13 feet.
Answer:
<h3><u>Question 7</u></h3>
<u>Lateral Surface Area</u>
The bases of a triangular prism are the triangles.
Therefore, the Lateral Surface Area (L.A.) is the total surface area excluding the areas of the triangles (bases).

<u>Total Surface Area</u>
Area of the isosceles triangle:

Total surface area:

<u>Volume</u>

<h3><u>Question 8</u></h3>
<u>Lateral Surface Area</u>
The bases of a hexagonal prism are the pentagons.
Therefore, the Lateral Surface Area (L.A.) is the total surface area excluding the areas of the pentagons (bases).

<u>Total Surface Area</u>
Area of a pentagon:

where a is the side length.
Therefore:

Total surface area:

<u>Volume</u>
