Q4) Suppose there is a decrease in the demand for investment, and increase in saving in an economy. Show how investment, saving, and real interest rates will change on a graph (hint: Saving is vertical line).

Q: B. Evaluate each expression. Given Working Outs Answer 1. P (6,2) 2. Р(33) 3. P (8,2) 4. P (5,3) 5. ...

A: To evaluate the following permutations, P(6,2) P(3,3) P(8,2) P(5,3) P(9,4) Solution is given in th...

Q: If z = 1+ 2i and w 3+ 4i, express in rectangular form 5 cos [Arg (2²)] + 5i sin[Arg w]

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Q: 5x²+3 dx x (x²+2)

A: Given: Let us consider the given,∫5x2+3xx2+2dx

Q: prove For all integers a, b, c, and d, if a|c and b|d then ab|cd.

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Q: Determine the percentage relative error (In 2 decimal places) when we compare the derivative of 12e2...

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Q: n a b=1

A: Here we will use combinatorial formula  nCr+nCr-1=n+1Cr

Q: 2. A researcher studies the growth of a fruit fly population. The researcher counts the number of fr...

A: Given A researcher studies the growth of a fruit  fly population. the researcher counts the number o...

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Q: 3.) The Holiday Meal Turkey Ranch is considering buying two different brands of turkey feed and blen...

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Q: Determine if the following argument is valid or if it exhibits the converse or the inverse error. Us...

A: This is a problem of Logic.

Q: Write the limit given the set: {0.3,0.33,0. 333,0.3333,.} {1.6,1.66,1.666,1.6666,...}

A: Given that the set is 0·3,0·33,0·333,…. We have to find the limit of the set.

Q: Find the Laplace transform of the solution to the following initial value problem y + y = f(t), y(0)...

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as ∫0∞e-...

Q: An alloy of 9 ct gold contains gold, copper zinc and silver in the ratio 9: 12.5: 2.5. (a) Express t...

A: Properties of ratio and proportion If a:b then ac:bc If a:b then ac:bc If a:b then b:a

Q: The systems of linear equation below is diagonally dominant. 5x1 +7x2 + 13x3 = 76 %3D + 5x2 + 3x3 = ...

A: Interchange equation (1) and(3)                     12X1+3X2-5X3=1.                                 ...

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Q: Find linearly independent vectors which generate al lutions of Ax = 0.

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Q: So knowing that TFL can be one of two things, how do you use a natural deduction proof to show that ...

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Q: 6. Using the Newton's backward interpolation formula construct an interpolation polynomial of degree...

A: Newtons Backward difference formula table x y ∇y ∇2y ∇3y -0.75 -0.0718           0.0471     ...

Q: Find y as a function of t if 50y" + 17y' + 13y = 0, y(0) = 9, y(t) = y' (0) = 7. Note: This problem ...

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Q: Solve each of the following systems by graphing and determine the solution/s: 1. 4. Зх — у 3D 2 x + ...

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Q: Use the definition to find the Laplace Transform of the given function (t, 0st<1 f(t)= OSt<1 1, t21

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as ∫0∞e-...

Q: Consider the Sturm-Liouville problem Sy" + (1+ X)y = 0, A2-1. y(0) = 0, 3(1) = 0 (a) Is A = -1 an ei...

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Q: small boxes contain dvds and large boxes contain one gaming machine.three boxes of gaming machines a...

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Q: 5. Find the inverse, if it exists, of each of the following: 1 2 0 -2 0 1 -2 2 1 1 1 (a) A= 1 0. 3 1...

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Q: 1. By the method of least squares, find the straight line that best fits the following data: I| 2 3 ...

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Q: A bag of gumballs contains 10 green gumballs, 8 orange gumballs, 12 pink gumballs and 15 red gumball...

A: Given: Total Green gumballs = 10 Orage Gumballs = 8 Pink gumballs = 12 Red gumballs = 15 Total gumba...

Q: e) In a net present value (NPV) analysis it is found that proceeding with a contract with required r...

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Q: 7 4 16 Diagnolize the matrix A 2 5 8 -2 -2 -5

A: We diagnolize the matrix A by finding a non-singular matrix P such that P-1AP=D where D is a diagona...

Q: 9.2.6. The group G has 270 elements, and Q is a subgroup of G of order 9. Assume NG(Q) = G, and let ...

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Q: Exercise 18 Get the second derivative of the function f(x) = e3en el point 1.3 Using Richardson's ex...

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Q: a. 5 and 0° < 0 < 360° . Show the reference triangle in your drawing Use a straightedge to draw the ...

A: Given: The value of tanθ=-512 in Quadrant IV.We have to draw the reference triangle and find the six...

Q: any positive integer n, let Z∗n denote the set of all elements in Zn that are not zero factors. An e...

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Q: 1. Determine whether each of the following sequences converges uniformly on [0,+∞). a. fn(x) = x"e-n...

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Q: 2. Let r > 1. Prove that lim r" = 00,

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Q: nd an explicit formula for P. Your formula should involve n. se your formula to find P, %3D Sive all...

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Q: A17.2 Use the solution of the first problem to compute the value of the infinite series 1 1+ 1 1 21 ...

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Q: Approximate the integral | dx using 4 trapezoids .2 1

A: Introduction: The formula for the trapezoidal rule is given by, ∫aby(x)dx=h2y0+yn+2(y1+y2+...+yn-1)

Q: Translate into symbolic proof and provide the reason for each step: You cannot be both happy and ri...

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Q: Example 7: Check whether or not 0: A, → R" : 0(p) = p(n) is a representation of A,. Solution: Though...

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Q: x +y] 3 6. Given: z+1 Find: x +y + z +t

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Q: 4 3 1 let A = -1 1 -3 Find a basis for the eigenspace corresponding to the eigen- 4 9. value A= 3

A: given  A=423-11-3249 find a basis for the eigenspace corresponding to the eigenvalue λ=3

Q: y" + 4y' + 5y = 0, y(0) = 3, y'(0) = 8. y = Note: This problem cannot interpret complex numbers. You...

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Q: fired supremum of As 3n +2 Inew y. 2nt/ Prove your arswer

A: This problem is based on finding the supremum.

Q: The False-Position method of finding roots of nonlinear equations falls under the category of a (an)...

A: We have to find the correct option from the given options.

Q: Q-: a) Four married couples have bought 8 seats in the same row for a concert. In how many different...

A: Please post questions with multiple parts separately.a) There are 4 couples which mean there are 8 p...

Q: Show that the function f(z) = sin x cosh y + i cos x sinh y is continuous as well as analytic every ...

A: The given function is: f(z)=sinxcoshy+icosxsinhy

Q: (II) [1 pt.] Repeated root. Solve this IVP: y" – 4y' + 4y = 0, y (0) = 3, y' (0) = 0

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Q: After one iteration of Newton Raphson Method, what is the refined estimate of the root of 7 (sin z) ...

A: We can solve this using newton raphson method

Q: Equation of the plane that contains the point A(−9, −2, 3) perpendicular to the vector formed from t...

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