Answer:
option B is true.
Step-by-step explanation:
We are given that two functions
f(x)=
and g(x)=sin x and a line x =
We have to find the area of the region bounded in the first quadrant by x=
and two functions
We know that the area bounded by two functions
=Integration of region(Upper curve- lower curve)
Therefore, function of sec square x is upper curve and function of sin x is lower function
Therefore, limit of x changing from 0 to
Hence, the area of the region bounded in the first quadrant and two functions is given by
Therefore, option B is true.
Answer: Once the Acadians refused to sign an oath of allegiance to Britain, which would make them loyal to the crown, the British Lieutenant Governor, Charles Lawrence, as well as the Nova Scotia Council on July 28, 1755 made the decision to deport the Acadians. The Expulsion (1755–1764) occurred during the French and Indian War (the North American theatre of the Seven Years' War) and was part of the British military campaign against New France. The British first deported Acadians to the Thirteen Colonies, and after 1758 transported additional Acadians to France. When the French and Indian War began in 1754, the British government, doubting the neutrality of the Acadians, demanded that they take an oath of allegiance to the Crown. ... British Governor Charles Lawrence decided to deport the Acadians from Nova Scotia without giving his colleagues any notice. They migrated to Louisiana because they had better fishing grounds, its territory controlled the gulf of St. Lawrence, and shipping routes and British colonies along the Atlantic coast.
Step-by-step explanation:
Answer:
- a) AB = 10 units
- b) Midpoint is (2, 6)
===================
<h3 /><h3>Given</h3>
- Points A( - 1, 10) and B(5, 2)
<h3>To find</h3>
- a) The length of AB
- b) The midpoint of AB
<h3>Solution</h3>
a) Use the distance formula:
Substitute the coordinates and calculate:
The distance is AB = 10 units
b) Use midpoint formula and find x and y- coordinates of this point:
and 
Substitute coordinates and find the midpoint:
and 
The midpoint is (2, 6)
The figure can be separate into a triangle, a rectangle and a trapezium.
<u>Triangle:</u>
Area = 1/2 x base x height
Area = 1/2 x 16 x (25 - 4) = 168 units²
<u>Rectangle:</u>
Area = length x Width
Area = 16 x 4 = 64 units²
<u>Trapezium:</u>
Area = 1/2 (a + b) x h
Area = 1/2 (25 + 15) (10) = 200 units²
Total Area = 200 + 64 + 168 = 432 units²
Answer: 432 units²
