7) (-3+12i)(-6-3i)=

Q: 9 - √ y ² ( 5 + 3 ) ¹4 dy

A: Sol:- 9-∫ y45+1y4dyFirst Evaluate integration :-∫ y45+1y4dyMultiply by the conjugate of…

Q: B₁ = {(a, b): a, b are realt B₂B RIB is finite} I, is sopology generated by J₂ is Sopology generated…

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Q: = 1. The graphs of y = 1/x, y = 1/x² and the functions f(x), g(x), h(x), and k(x) are shown in…

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Q: Solve the following LPP Maximize Z = 2 x1 +5x2 subject to the conditions x1+ 4x2 ≤ 24 3x1+x2 ≤ 21…

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Q: Farmer Ed has 5,000 meters of fencing, and wants to enclose a rectangular plot that borders on a…

A: Let's call the length of the rectangular plot L and the width W. Since the plot borders on a river,…

Q: (a) find the standard matrix A for the linear transformation T, (b) use A to find the image of the…

A: (a) To find the standard matrix A for the linear transformation T, we need to apply T to each of the…

Q: For a supply equation p=√q+52 and demand equation p=20-q for a product, where p represents price per…

A: Sol:- At the equilibrium point, the quantity supplied equals the quantity demanded. Therefore, we…

Q: 8. Given definite matrix equation holds. A = [-2 -3], find symmetric positive p such that the…

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Q: y(1 + 2ln²) dx + xdy=0; y(e)=e

A:

Q: 2. (a) How does Desmos help with solving Continuity Problems? Can this tool be used to help with…

A: (a) To explain: how we can use Desmos to check continuity and discontinuity of a function. (b) To…

Q: Let p be a prime.a. Show that the number of reducible polynomials over Zp of theform x2 + ax + b is…

A: a. To show that the number of reducible polynomials over Z_p of the form x^2 + ax + b is p(p + 1)/2,…

Q: Let x be a natural number. Prove that the attached picture is true (This is a combinatorics and…

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Q: Solve the system algebraically. 2 5 81 + 1 3 2 No 11 29 3 157 27

A: Sol:- 29x+13y=293581x-29y=-15727Isolate x for 29x+13y=293:  x=87-3y2Substitute…

Q: It costs $250 to produce an X-Box. We are trying todetermine the selling price for the X-Box. Prices…

A: Introduction: To determine the optimal price and associated profit, we need to use the demand and…

Q: Use the graphical method to find the optimal solutions of the following LP Problem. Max. Z = 3x1 +…

A: Max Z=3x1+5x2s.t3x1+2x2≤18x1≤4x2≤6x1, x2≥0

Q: dy (y+4) ln x dx In(y² + 4)

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Q: 1. A firm decided to raise funds by issuing ₱1,000 bonds a coupon rate of 6% paid semi – annually…

A: Sol:- To calculate the amount that the firm can raise by issuing 10,000 bonds, we need to first…

Q: 1. A firm decided to raise funds by issuing ₱1,000 bonds a coupon rate of 6% paid semi – annually…

A: Sol:- To calculate the amount that could be raised by issuing 10,000 bonds, we need to first…

Q: Consider the linear system.. X₁ + 2x2 + x3 = 15 4x2 = 16 - 2x3 2x1-5x3-4 = 0 1 6. Transform the…

A: Introduction: Nonsingular matrix is a square matrix whose determinant is a non-zero value. The…

Q: The functions f and g are defined as f(x) = a) Find the domain of f, g, f+g, f-g, fg, ff, b) Find…

A: The function is defined if the value of function is belong to field and finite

Q: If 4 sin ¹xcos ¹x 4 COS X + 5 7 Find sin² 2x 5 + 1 12 cos² 2x 7 = ?

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Q: A singular value decomposition of A is as follows: [0.5 0.5 -0.5 -0.5] [5 0.5 -0.5 -0.5 0.5 0.5 -0.5…

A: By using SVP to find the value of X  The procedure is given below

Q: The answer above is NOT correct. Find the area of the region inside: r = 70.796 10 sin but outside:…

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Q: Question 2 A force field (in newtons) is defined by F(x, y) (b) = where coordinates x and y are in…

A: Given vector force function is  Fx,y = xy2+x , -x2+1y3 (a)  F0,1 = 012+0 , -02+113 = 0,-1…

Q: 1. Our anniversary is scheduled 23 days before the Vernal Equinox at 8:56 Solar Time. *Determine the…

A: Given: Our anniversary is scheduled 23 days before the Vernal Equinox at 8:56 Solar Time. We have to…

Q: Find the marginal cost function. C(x)=230 +6.1x-0.02x² C'(x) =

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Q: Find the linearization L(x,y,z) of the function f(x,y,z) = xz - 7yz + 3 at Po(3,1,3). Then find an…

A: Sol:- To find the linearization of f(x,y,z) = xz-7yz+3 at Po(3,1,3), we need to compute the partial…

Q: Consider the boundary value problem y" + 4y = 0, 0≤x≤ b, Find choices for b and B so that the…

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Q: Assume that the function ƒ is a one-to-one function. (a) If ƒ(6) = 2, find ƒ−¹(2). Your answer is…

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Q: 2. For the given functions f(x), letxo = 1, x₁ = 1.25, and x₂ = 1.6. Construct interpolation…

A: Using interpolation method we find required equation

Q: a ball is selected at random from an urn containing six red balls, seven white balls, and seven blue…

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Q: Compute A² and A³. Make a prediction for A5 and Aª: 1 b 4 = [] and 4= [²2] A A [33].

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Q: m is a polynomial of degree 5. m has roots of multiplicity 2 at c = 2 and c = 0, a root of…

A: Introduction:  the number of times a given polynomial has a root at a given point is the…

Q: dy 1 2 = 3² ³²√x+tan 5 y

A: zx,y=3x+tan5x3

Q: A system consists of four components with A, B in series and C, D in parallel connected as shown…

A: Given, The probability that the component A,B,C and D fail is 0.10, 0.05, 0.10 and 0.20…

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 5 P4(x) =

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Q: A country is to establish a zone in the sea adjacent to its coast in which no fishing is to be…

A: Sol:- Let's assume that the fish population density in the zone is denoted by ρ(z, t), where z is…

Q: QUESTION 3 Determine if the following logical expression is a tautology or contradiction. (p^¬q) v…

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Q: .2 .4 A B C diagram to find the probabilities below. a) P(A) 5 .5 3 .7 A .6 E E ES ES

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Q: Solve the given system algebraically. { 6x-4y-2=5x-9y x+6y-2=y+5 www Select the correct choice below…

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Q: Make a circle graph for each set of data. Top Fitness Activities in America Activity Fitness Walking…

A: Activity Participants( million) Fitness Walker 81.3 Swimmer 59.3 Exercising with equipment…

Q: 3. Let T: R² R2 be a linear transformation such that T H]-[ = -5x1 + 9x2 4x17x2 Find T-¹.

A: T:ℝ2→ℝ2 is a linear transformation  Tx1x2=-5x1+9x24x1-7x2

Q: i am stuck with a question where I need to prove the following: (1+||x+y||)≤(1+||x||)(1+||y||) I…

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Q: Find the marginal revenue function. R(x) = x(13-0.04x)

A: Here we have to calculate marginal revenue function of the given R(x).

Q: Let X = X(t) be a stochastic process with SDE: dx = atX dt + BX² d X(0) = 1 (a and ß are constants)…

A: To use Ito's formula to derive the SDE for Y(t), we need to first find the differential of Y(t)…

Q: The motion of a mass-spring system with damping is governed by y''(t) + by' (t) +9y(t) = 0; y(0) =…

A: Given that the motion of a mass-spring system with damping is governed by y''(t) + by' (t) + 9y(t) =…

Q: Let A= -8 -21 -21] 1 2 1 3 D=X-¹AX. X = 32 ,D= Find an invertible matrix X and a diagonal matrix D…

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Q: 6. Use Newton's method to find solutions accurate to within 10-5 for the following problems. a. et +…

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Q: The vector a solution , where 3 -7 -10 is a linear combination of the vectors A= || 3 and 8 if and…

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Q: 7 - cos4y cos2y - sin2y dy

A: