Consider the equation z13 = (-1+ i). Find the value of z which satisfies this equation and which has th 0,0 < 0 < 2x. Express your answer as z = re" where r = and 0 =

Q: Let A = {1,2, 3, 6}. Define a relation R on A as follows: x Ry if y – x > 0 Write out the relation R…

A: We have to find the relation and write as set notation.

Q: 6 5- 4 y 3- 2- 1 3 4 5 2.

A: Given is a figure showing the region which is to be revolved about the y-axis and then we need to…

Q: dy 3. x. e*y. + y. e*y - 4x3 = 0 dx -

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Q: Question no. 3 Use the inversion algorithm to find the inverse of the matrix (if the inverse…

A: Q3 asked and answered.

Q: 1, if a is rational; 9. Consider the Dirichlet function f (x) = %3D 0, if r is irrational. TRUE or…

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Q: +o0 Σ (-1)"(3n + 4) 23n+3 (n + 1) d. Differentiate f to determine the sum of the series n=0

A: Given, for all x∈-1,1 ln1+x=∑n=0∞-1nn+1xn+1 Given, function fx=xln1+x3 Replace x by x3 in the given…

Q: A space has the line element, ds? = v*du? +u*dv² . Determine whether this space is flat or curved.

A: It is given that the line element ds2=v2du2+u2dv2. it is required to determine that whether this…

Q: Evaluate: C(25, 4) + C(30, 3) + C(35, 2).

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Q: Calculate: P(20, 5) O 15 504 6 840 116 280 1860 480

A: Permutation value calculated using permutation formula

Q: (3a) What is Jack's short-run marginal product of labor? What is Jack's short-run marginal revenue?…

A: (a) given  Q=4KL-L2 K=5 P=5 marginal product of labour is ∂Q∂L=4K-2L substitute the values…

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: 'apply Gauss Elimination method to solve the equation? x + 4y - z = -5 x + y - 6z = -12 3x - y-z = 4

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Q: Which of the following is the correct representation of A = (2,4.8.16,32. in set puilder notation?"…

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Q: )² - x² (4x+y'+ 13x'

A: Given differential equation is y'2 -x2 4x+3 y' +12 x5 =0 This is first order homogeneous…

Q: 10. Let {xn} be a sequence of real numbers. What does the limsup of this sequence mean?

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Q: If C = {x: x? + 11x + 30 = 0,x € N), then C is a/an? Finite set None of these Empty set Infinite set

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Q: 5. State the Sequential Definition for continuity of a function ƒ :R → R at x e R.

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Q: In each part, find 121. 12. Z = -3 – 4i 13. z = -7i V3. 1 = Z 14.

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Q: Find C(18, 4). 73 440 4 896 3 060 2 400

A: Combination using formula

Q: -4x1 +5x3 = -3 %3D -3x1 +3x2 + 5x3 3 2x2 + 2xa = -1

A: Write the equations in matrix form as follows -405-335-122x1x2x3=-33-1 (A) Find the inverse as…

Q: b) x?y" + (cosx)y' + xy = 0

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Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

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Q: g statements are helpful- prem 3.59

A: Yes

Q: (f) Find the average value of f(z) = 1 - z| on the interval [–1, 1). f(3x +2) + f(2 – 5z) (g)…

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Q: Solve the following by Laplace Transform y' – yf – 6y = 0, y (0) = 11, y' (0) = 28

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Q: Show that the column vectors (1,1,2,4), (2,-1.-5.2), (1.-1,-4,0) and (2,1.1,6) vectors in R are…

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Q: What would be the element 22? * [i 4] ‚B= -3 27 ,C= 0 2 i 0] find A? + BC. If A = 2 4 O 8 O 9 O 17 O…

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Q: xct) = 3(t/4) e 6.

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Q: Given the z value, find the are under the normal curve for the given parameter: To the left ofz =…

A: from the table values of standard normal variable Z the table value of Z = 2.91 is 0.4982 the area…

Q: Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. 5, t…

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Q: There are. Polynomials of degree atmost n in the polynomial ring Z-[x). O 7+ 7^n 7^(n+1) O none O…

A: We are given the polynomial ring , ℤ7x. We are asked to determine how many polynomials of degree at…

Q: Question 2: Find the inverse Laplace transform of 10 a) F(s)= s(s+2)(s+3)? b) F(s): s? +4s+5 1 -2s…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Question 5 Write down the quadratic form corresponding to the matrix. [1 2 -31 A = 0 3 lo o -2] 2

A: Given A = 12-303200-2

Q: Each student in an international study group speaks English,Japanese, or Spanish. Of these students,…

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Q: Determine which (if any) of the following series are conditionally convergent. А. (-2)+1

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Q: (dy The order and degree of differential equation J2 +4 = () is _ and _respectively. а. 2, 6 b. 2,3…

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Q: 1. Let r be pasitine ou a N_alg m measure * A, A, A3EM aud mirwire dijoint The (A3)

A: I have used the definition of measure to show this.

Q: Solve the following LP using Simplex Method. Max z = 1500x1 + 2000x2 + 2400x3 Subject to 3x1 + x2 +…

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Q: So I need to keep the 4 and the cubed in the integral??

A: Yes, you have missed the "4" and the cube.

Q: A college foundation raises funds by selling raffle tickets for a new car worth $45,0 tickets are…

A: This is a problem of expectation, and theoretical distribution.

Q: 2. In the differential equation 4(3x+ y- 2kdx-(3x+ykdy=0, we let the substitution dw=. 3. In the…

A: 2) We have given a differential equation ,  43x + y - 2dx - 3x + ydy = 0 Here , we need to use…

Q: Let f(x) = x ln(1+x*). For allx € (-1,1), it is known that +oo (-1)" -7n+1 n +1 In(1+x) = > n=0 1.…

A: The given problem is to find the Maclaurin series of given function and also find the 1804th…

Q: Find the solutions of the system of inequalities by graphing: x + y 1

A: A mathematical statement, which states that two expressions are not equal is called an inequation…

Q: Dairy cows at large commercial farms often receive injections of bST (Bovine Somatotropin), a…

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Q: 29. Find the adjacency matrix for the graph below. * A (D го 1 1 1 01 го 1 1 1 01 1 1 1 1 1 1 1 1 1…

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Q: Here is the region of integration of the integral dz dy dx. Top: y + z 1 Side: y = x2 (-1, 1, 0) (1,…

A: Please post the multiple parts separately. Here I answered 1st three sub parts as per our policy.

Q: Solve the following equation byCramer's rule and find the value ofx, y, z. 3x + y + z = 3, 2x + 2y +…

A: The given equations can be expressed as ,  3x + y + z - 3= 02x+2y + 5z + 1 = 0x - 3y - 4z - 2 = 0 We…

Q: A company produces regular and deluxe ice cream at three plants. Per hour of operation, Plant A…

A: This is the problem of LPP.

Q: - 2t 1 y Ct) = 5e COS 67 CoS

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Q: The angle 6n/5 is drawn in standard position. In what quadrant will the terminal side of the angle…

A: Given that The angle 6n/5 is drawn in standard position To find In what quadrant will the terminal…