Complex numbers (-16)+ z that satisfy

Q: The Nut Factory produces a mixture of peanuts and cashews. The company guarantees that at least 40%…

A: Given: The Nut Factory produces a mixture of peanuts and cashews. Also, 40% of the total weight is…

Q: b) Find all the analytic functions for which Rez = Im f(z)

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Q: Australia Economy Two sectors of the Australian economy are (1) textiles and (2) clothing and…

A: Given that two sectors of the Australian economy are (1) textiles and (2) clothing and footwear.…

Q: 6) You pull an Ace from the deck. What is the complement of that?

A: Probability of the deck of cards

Q: The matrix aij and vector b; are specified by [5 0 6 aij = 3 1 3 [1 4 0 Determine the following…

A: Given: The matrix aij and vector bi are given by:       aij=506313140,      b=241 To find: We have…

Q: Equipment Components (From) Equipment 5,900 500   (From) Components 24,000 29,000 Total Output…

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Q: every set is a closed set. 9. The boundary of every set has empty interior. 10. Every nonempty…

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Q: A vase as shown in the figure is to be drawn as a mural with all lengths in feet. The outline will…

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Q: Solve the equation and answer x+(x+15)+ (x+30)=195

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Q: If the lines a\index{1}x+b\index{1}y+c\index{1}=0 and a\index{2}x+b\index{2}y+c\index{2}=0 cut  the…

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Q: Triangle UVW, with vertices U(2,6), V(6,5), and W(4,8), is drawn on the coordinate grid below. 10 9…

A: We have to find the area of given triangle.

Q: -28. Find the position of the mass, in meters, after t seconds. Your answer should be a function of…

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Q: Consider two lines in space: L1: x = 1-t, y = 2+ 3t, z = t and L2:3 a) Show that the lines are…

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Q: The probability that a person has a certain disease is 0.05. Medical diagnostic tests are available…

A: Solution is given below:-

Q: Find the angle between the gradient of f(x, y, z) = ze5x + 6y and a unit vector û that will make the…

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Q: Answer the following questions. a) Show that maximizing the following problem: max T wμ-r (w²Ew)'…

A: Given: Here, the given details are, a) To show that maximizing the following problem,…

Q: For each of the following, if the statement about a topological space is always true, prove it;…

A: Hence prove that boundary of a closed set is closed in topological space.

Q: Average weight of infants (in pounds) 22.5 20 10 7.5 7.5 2 4 6 8 10 12 14 16 18 20 22 24 Months By…

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Q: Find the projection projuv, where u = (1,3,-2) and v = (2,-1,3).

A: Since we kow that the projection of v on u is given by                projuv=u.v||u||2u

Q: 1. Apply the Sieve Process from 200 to 300.

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Q: Find the greatest distance of the point P(10,7) from the circle  x\power{2}+y\power{2}-4x-2y-20=0

A: Since S1=102+72-4×10-2×7-20>0,P lies outside the circle.join P with the center C(2,1) of the…

Q: Use the formula for the sum of a geometric series to find the sum. (Use symbolic notation and…

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Q: Parametrize the curve of intersection between the cylinder x^2 + y^2 = 1, and the plane 3x + 2y + z…

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Q: Find an arc length parametrization r1(s) of r(t) = (et sin(t), et cos(t), 9e¹). Assume t(s) = 0 when…

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Q: Problem #2: Find the inverse transforms of the following functions: (a) F₁(s) = (b) F₂(s) = (²+1)…

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Q: ²1² wo distinct chords of the hyperbola 2a² 26² hrough (a, b) are bisected by the line x + y = b. L…

A: Let the line x+y=b bisects the chord at point P(α, b-α).Therefore , the equation of the chord whose…

Q: In this problem, we consider applying optimal control theory to generic linear systems and derive…

A: Optimal control theory provides a framework for finding control inputs that minimize a cost function…

Q: A person deposited an amount of A in a bank with an interest rate of 10% and after four years the…

A: Rate of interest r=10% Amount A=Rs 48,000 Time t=4 year

Q: solve the given system of differential equations. Q. x′ 1 =x2, x′ 2 =− x1.

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Q: A vacation company is donating a free trip to be auctioned off at a charity event. The board of…

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Q: 6. Show that the area of the triangle intercepted from the co ordinate axes by the tangent to the…

A: We have to show that the area of the triangle intercepted from the coordinate axes by the tangent to…

Q: Let (xn) and (yn) be bounded sequences. Show that there exists a common subsequence that each…

A: Sol:- Since both (xn) and (yn) are bounded, we know that there exist M, N > 0 such that |xn| ≤ M…

Q: Company C had a profit of $2 million last year. This company expects the profit to decrease by 0.08…

A: The initial profit of the company is $2 million, and it is expected to decrease by $0.08 million…

Q: Suppose for a particular commodity, & = 1.3 and that currently 70,000 units are selling for $16…

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Q: Compute the flux of the vector field F = 5x³y²zk through the surface S which is the cone (a)…

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Q: The monthly demand for Williams Tchotchkes (q measured in 1000s of tchotchkes) depends on the price…

A: Given the demand of Tchotchkes is q measured in 1000's of Tchotchkes, depends on p, ps, y, where p…

Q: 7x + 8y = 7y - 6 Step 2 of 2: Find the equation of the line which passes through the point (- 4, -…

A: Sol:- Given line :- 7x + 8y = 7y - 6 y = -6 -7x

Q: 3 . Find the inverse of the given matrix F= Fill in the blank box with your corresponding 0 4…

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Q: Let Suppose that A α V B B 4 C A' B' C' is a commutative diagram of groups and that the rows are…

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Q: Find the weak derivative of f(x) = |x² − x + 1/5 on the - 1) interval (0,1).

A: 1.Given: fx=x2-x+15.To Find: The weak derivative of the given function on the interval 0, 1. Note-…

Q: Show that Z,[V3] = {a + bV3| a, b E Z,} is a field. For any positive integer k and any prime p,…

A: We need to show that Z73=a+b3 a,b∈Z7 is a field. To show that Z7[3] is a field, we need to verify…

Q: Let f: R²R have the form f(x, y) = g(x), that is, f does not depend on y. If g, a function of one…

A: We know that a function f:ℝ2→ℝ is differentiable at a point x0,y0 if f has best affine approximation…

Q: Calculate the value gained from depositing 12 regular installments into a bank, as the  amount of…

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Q: 5) Compute the following limit if it exists 2 (x+y)³² - (x-g) ty lim (x,y)=(0,0) (012)

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Q: Consider the ordered bases & = {1, t, t²} and B = {1, t − 1, t² − 2t +1} in P2, the vector space of…

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Q: If N is the midpoint of MP, find P. 51. M(3, 4, 5); N(2, 1, 2)

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Q: Use the inverse of the coefficient matrix to solve the system of equations. x+2y+3z = 13 2x+3y + 2z…

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Q: A merchant bought goods worth 8,000 riyals, paid half the price in cash, and agreed to pay the rest…

A: Sol:- Let D be the correct discount rate and P be the basic value of the bill. We know that the…

Q: Create a series of 6 different functions that together form a Continuous Piece-wise function. (The…

A: As per the question, we have to create a series of 6 piece-wise defined functions f1(x), f2(x), ...,…

Q: Solve the linear programming problem. 70x₁ + 75x2 2x₁ + Maximize subject to X₂ ≤ 30 X₁ + X₂ ≤ 19 X₁…

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