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1.Find the integral with respect to x ∫cos x sin xdx
a.sin^2x
-------- +c
2
b.sin2x+c
c.cos^2x
----- +c
2
d.sinx
RS1 remaining parent material is 12.5%. RS2 remaining parent material is 25%. Based on the amount of remaining parent material in the rocks, how many half-lives have occurred for each?
The Kelowna division of Windstream RVs builds the Wanderer model. The division had total revenue of $4,785,000 and a profit of $520,000 on the sale of 165 units in the first half of its financial year. Sales declined to 117 units in the second half of the year, resulting in a profit of only $136,000.



Determine the selling price per unit, the total revenue in the second half, the unit variable costs, and the annual fixed costs.
7.What is the distance between the points x and y, given that x = 3 + 2i and y = 4 + 3i?
a.2
b.square root of 2
c.square root of 3
d.3

8.If r is the hypothenus of a right-angled triangle with sides a and b and if i and j are unit vectors in the horizontal and vertical directions, then r is given by
a.a^2i+b^2j
b.i + j
c.ai–bj
d.ai + bj
5.Find the center and radius of the circle x^2+y^2+8x+6y=0
a.(âˆ′4,âˆ′3),r=5
b.(4,âˆ′3),r=5
c.(âˆ′4,3),r=5
d.None of the option

6.Find the equation of the line through the point (âˆ′1,2)which is parallel to y = 3x + 1
a.y=3x−5
b.y=−3x+5
c.y=−3x−5
d.y = 3x + 5
5.Find the equation of line that passes through the points: A(2,3) and B(4,6)
a.2y=3x
b.−3x+2y=−2
c.3x+2y=−2
d.(3x+2y=6)

6.The equation of a straight line at point (-2,3) and slope 3 is given by
a.y=5x-3
b.y=3(x+3)
c.y=3(x-3)
d.y=3x-5
7.What is the common difference in the sequence3,5,7,9,11,⋯
a.-2
b.2
c.3
d.-3

⎛1 2 3⎞
8.Calculate the determinant of the matrix A= ⎜ 4 5 0⎟
⎝2 1 4⎠
a.

⎛ 20 −16 −6 ⎞
A= ⎜−5 −2 3 ⎟
⎝−13 12 −41 ⎠

b.
⎛ 20 −16 −6 ⎞
A = ⎜−5 −2 3 ⎟
⎝−13 12 −3 ⎠

c.
⎛ 20 −16 −6 ⎞
A = ⎜−5 −2 3 ⎟
⎝−15 12 −3 ⎠

d.
⎛ 20 −12 −6 ⎞
A = ⎜−5 −2 3 ⎟
⎝−13 12 −41 ⎠
3. if a=3i+4j+5k and b=2i+j+7k. Find a.b
a.45
b.40
c.30
d.35

4.What is the gradient of the straight line and the angle of inclination of the points, A(2, -3) and B(4, 5)?
a.gradient=1, angle = 30 degree
b.gradient=1, angle = 35 degree
c.gradient=1, angle = 45 degree
d.gradient=2, angle = 45 degree
Lisa said that 42/100 was the same as .42% as well as .42. Explain the error Lisa made. Explain how to draw a model to demonstrate your thinking. What is the correct percent and decimal for 42/100?
Find the solution of the difference equation y_(k+2)-4y_(k+1)+4y_k=0;k=0,1,2,...
Also find a particular solution when y_0=1 and y_1=6.