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Calculate the area bounded by the curve y = (−)6x2 + 24x10, the x-axis and the ordinates x = 0 and x = 4.

a. 10 unit^2
b. 104 unit^2
c. 77 unit^2
d. 134 unit^2
Determine the area bounded by the curve y=3x2 + 6x + 8, the x-axis and the ordinates x=1 and x =3.

a. 6 unit^2
b. 6 unit^2
c. 66 unit^2
d. 65 unit^2
find the surface area of a right octagonal pyramid with height 2.5 yards, and its base has apothem length 1.5 yards
What does i, j denotes ……?

a. column
b. unit vector
c. scalar
d. matrix
Find the angle between U =4i - 2j + 4k and V = 3i - 6j - 2k.

a. 68 degrees
b. 67 degrees
c. 58 degrees
d. 69 degrees
angle ABC=60.point P is inside it. such a that which is at a distant 2cm & 11cm from sides of angle ABC
then find length BP.
1) One diagonal and each side of a rhombus measure 8 meters. What is the area of the rhombus?

2)The area of a polygon is 450 square units, and one of its sides measures 36 units. The area of a similar polygon is 300 square units. What is the length of the side corresponding to the 36-unit side in the other polygon?
a lawn 10 m 8 m is surrounded by a path 1 m wide find the area of path
two height are 54 and 30 on same base and arc on top of both. so find arc radius
Antoine needs to buy metal primer to rust proof a cylindrical fuel storage tank. The tank has a diameter of 15 ′ 6 ″ and a height of 18 ′ . A 3.8 L can of metal primer costs $47.13 and covers 40 m 2 . What will be the total cost of the metal primer? (Assume that the bottom of the storage tank will be painted.)
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