Answer:
sec(x)tan(x)
Step-by-step explanation:
This is a direct application of the <em>fundamental theorem of calculus</em>, which tells you ...

Here, f(t) = sec(t)tan(t) and a=3. So, the derivative is ...
f(x) = sec(x)tan(x)
Answer:
1780 is the best answer
Step-by-step explanation:
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Answer:
3
Step-by-step explanation:
from the question,you get an expresion of
6n-5= n + 10
5n = 15
Isolate n
5n/5 = 15/5
n+3
Answer:
AB = 12
Step-by-step explanation:
Since the triangle is isosceles, the sides AB and BC are congruent. Then you have ...
4x = 2x+6
2x = 6 . . . . . . subtract 2x
4x = 12 . . . . . .multiply by 2
The side AB has length 12.
Answer:
Area = 370 m²
Cost to paint = £105
Step-by-step explanation:
Area of the wall of a cinema hall = Area of a trapezoid (1)+ Area of a rectangle (2) + Area of a trapezoid (3)
Area of a trapezoid =
where
and
are the parallel sides and h is the distance between these sides.
Area of trapezoid (1) = 
= 69 m²
Area of the rectangle (2) = Length × Width
= 12 × 15
= 180 m²
Area of the trapezoid (3) = 
= 121 m²
Now area of the wall = 69 + 180 + 121
= 370 m²
One tin covers the area = 25 m²
Number of tins required to paint the wall = 
= 
= 14.8
Therefore, number of tins to be purchased = 15
Cost to paint the complete wall = 15 × £7
= £105