12. In a sample of 600 Canadians, 265 say they would rather retire in the US than in Canada. Calculate the 95% confidence interval for the true proportion of Canadians who would rather retire in the US.

Q: 1. Find L-¹{e-³s} 5}

A: We have to apply the inverse Laplace transform of the second shifting theorem to find the solution…

Q: 2(x + 1) = 10

A: GIVEN: 2(x + 1) = 10                 x + 1 = 5                 x = 5 - 1                 x =

Q: 8. Find the first four terms of (2a - 1)¹0. What is the coefficient of a³?

A:

Q: Vx2 – 1 2

A: ∫x2-1x2dxIntegrate by parts ∫fg'=fg-∫f'gf=x2-1, g'=1x2f'=xx2-1,g=-1x

Q: Expand (-3x + 11)(-4x – 9)

A: We have to expand the given expression.

Q: 4. 1+x+x* dx 1+x2 34.

A:

Q: 1. Solve for X 3x 75 = 1+ ( =) а. 5 + 12 60 b. 500,000 = (7+ %3D 12,

A:

Q: 37. lim 1+2e

A: Topic - limits  We are given limx→∞1-ex1+2exand we know thatlimx→∞ex=∞andlimx→∞1ex=0

Q: 3 125 3) = 5x 6. - 3 4,

A:

Q: 6. If z> 1, then N 1 - T || 1 H H + ....

A:

Q: s+1 l(s?+2s+2)2)

A:

Q: 1.6+0.4(x+6)+3.2

A: To simplify the expression means writing it in the simplest form.

Q: 1. ²-4 Difference of squares

A:

Q: Solve for x. 2 olve for x. 15

A: Problem 1 Formula to be used AB×AC=AD×AE

Q: 6. X-4 >2 X+3

A:

Q: 4 2x+x*/x-1 2. Evaluate S 2 1

A:

Q: -4 X+

A:

Q: L-1 (s+2)²+3 2.

A:

Q: 8. 2x + 21 < 11

A: Solve inequality

Q: Ч__3x т х-5 X2-4

A: Given,             4x-5+3xx2-4

Q: (c) Give an orthonormal basis for Span {x₁, X2, X3}.

A:

Q: (y>-- (2x-y 2-3 AALAM

A: Here we have to graph the given inequality:-  y&gt;-x2-22x-y ≥-3

Q: 10 dx (x- 1)(x2 + 9) 3.

A: Given,  ∫ 10x-1x2+9dx

Q: (b) Give an orthogonal basis for Span {X₁, X₂, X3}.

A:

Q: 9. 6 < 2x + 2

A:

Q: 8. Find YZ. 1 +1 19-31

A: Given: WXYZ is a parallelogram. And WX=11x+1YZ=19x-31

Q: 20. Solve for x. 27 x + 10 18

A: Intercept theorem states that if a line segment divides two or more parallel lines into equal parts,…

Q: 11x + 1 W

A:

Q: 4x+1=-36

A: Given,         4x+7=38

Q: 3(c) please

A:

Q: 5. Solve. 3 1 8. * – 25 x+5 X-5

A:

Q: 2- 4x - 12 =0

A:

Q: 20 41. Find ²k²(k − 3). (Use Table 2.)

A:

Q: = 55. Determine the value of n if (5)

A:

Q: j2 -j3 2 Determine 1+j)

A:

Q: . n &gt; 5 only if n &gt; 7.

A: Given that n&gt;5 only if n&gt;7

Q: 4. 4 x+3 x-3 x2 -9

A:

Q: Show that [-3,0]| = |[-2, 7].

A: We say two sets have the same cardinality if there exists a bijection between the two sets.

Q: 7.) -3- %3D 10 2'

A: .

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.