Question 1 Use the modulus-argument form re® to find the cube roots of -8 and sketch them on the complex plane.

Q: 10. For the following pair of functions, i) functions intersect (by calculating and stating the poin...

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Q: 3. Determine the following for the matrix A. (a) Find the eigenvalues. (b) Find the bases of corresp...

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Q: Show that p(t)dt p(t)dt q(s)ds + c y(x) = exp exp is a solution of dy +p(x)y(x) = q(x). dx

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Q: sin (z. + za) g.= = [cos (z, – z)] (/Zn + z,) + z.) h.== tan i. 2= csc (za - za)

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Q: Find the center of mass of a thin plate of constant density ô covering the given region. The region ...

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Q: System of Linear Equation No. 1 Given: More equations than variables X - y + 2z = 4 + 3z = 6 2x - 3y...

A: Since  you have posted a multiple questions according to guildlines I will solve first question for ...

Q: Radioactive nuclei decay according to the law: dN -AN. dt N is the concentration of a given nuclide ...

A: Solution

Q: Find the moving tri hedral of f R CE) = t, 2E> at %3D

A: This is a problem of differential Geometry.

Q: Given the following points: P(5,7,8), Q(-1,4,2) and R(2,5,-1) forms a triangle. Find the unit vector...

A: This is a problem of vector algebra.

Q: dx り= Ans-(1.564)

A: As per our guidelines we need to solve only one question. Please, repost the remaining questions as ...

Q: Determine whether xT= (0, ) is an optimal solution to the following linear program. maximise ,n + E2...

A: We will use the basic knowledge of linear programming and optimization to answer this question prope...

Q: PLS HELP ME SOLVE THIS: Given vectors: A(6,3,3), B(0,4,6) and C(7,3,0) forms a triangle. Find the ...

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Q: Linearize: around %3D

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Q: Choose the Laplace transform of the given function. 8 (t – T) t cos (t) e-TS + T -TS e TS -Te те

A: Laplace of δ(t-a)=e-as We also know x(t)δ(t-a)=x(a)δ(t-a) so t cos(t) δ(t-π)=π cos(π) δ(t-π) = -πδ(t...

Q: Determine the roots of the complex numbers studied in class. 28. z5 = 4i 29. z5 = 6i

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Q: 2. Use the Binomial Theorem to expand (3x – 2)6

A: We have to expand the given problem by binomial theorem.

Q: Choose the Laplace transform of the given function. 6 (t — п) t cos (t) e-TS + T ITS e -Te TS Te T S

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Q: 4- find the absolute max.and min. o f the function f = x² +y? Plate boun ded by = x +y? on the close...

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Q: tu(s) = cos(4 - sin(3s)) and the mesh s= so+ ih, where so= determine the central finite difference f...

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question...

Q: C = In(sec[=10 – 16i])

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Q: 12. For what values of k, will the equation 3x? +4x + k = 0 have two equal roots?

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Q: Cholesky's Method • Check if symmetric • A = AT 1 1 1 1 2 2 1 2 3 11 1 Given: AT = 1 2 2 1 2 3 A = X...

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Q: Bessel equation d²y dy +2x- + (x² – 4)y = 0. dx? dx

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Q: п a ) Σ x n=0

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Q: 2- Pind fxx , fr and fxy for the following: f = tan'i x +y) f = e coS(X-y)

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Q: Find an algebraic integer a in a Trace(a) = 17. quadratic field with N(a) 31 and

A: To find: An algebraic integer α in a quadratic field with Nα=31 and Traceα=17.  

Q: Direction Analyze the indicated figure in each item. Show the complete proof of each of the followin...

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Q: 2. The set of real numbers 1 for which the d²y boundary value problem + Ay = 0, dx y(0) = 0, y(r) = ...

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Q: *A. Here is a solıd V: Z = 20-y-y* (V has are full Circles + does not lie z CHss sectuns which In ju...

A: We have to use relation between cylindrical and cartesian co ordinate  From above figure we can con...

Q: 1. Calculate the Laplace transform L {(t² – 4) sin(t)}.

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Q: Find the Inverse Laplace Transform of

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Q: O Find a root of the equation tan x = 4x correct to 3 decimal places, xo = 1.5 %3D

A: Newton Raphson Method:- for a function f(x) the root is xi+1 =xi - fxif'xi; i=0, 1, 2, ....   Given ...

Q: o. Arctan (z, +z,) p. Arcsinh (za - z,)

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Q: Let S be a simple closed surface in R' that encloses a solid region with volume equal to 5. Find the...

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Q: 1z 2x² + y%, (1) z = 2 y;

A: Solution:-

Q: A large part of a business's operating expenses is made up of salaries and wages. Greg is planning t...

A: It is given that there are 4 groomers and they work part time. 

Q: - dz, C: |--2|=1 2-2

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Q: Given vectors: A(7,4,2), B(2,4,6) and C(6,1,2) forms a triangle. Find the unit vector in the plane ...

A: Cross product of two vector gives a vector perpendicular to both of them i.e. perpendicular to the p...

Q: Q5. If the area of the below region (R) equals to (6.25 m2) and if you know that the height of the t...

A: Consider the following figure. According to the given information Z=2W Now, equation of the line OB...

Q: f F = 2ui – (-u³ + 4)j – u²k and G = t²i – 3tj + tk at u = 1, t = –-1. Calc a) F×G a2 d) :(FxG) дидt...

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Q: What type of roots are shown in the following diagrams? i) to this ii) IIIJ

A: This is a problem of nature of roots, application of differential Calculus.

Q: Kindly answer Question #3 only, disregard the other items. Please show the complete solution, and ma...

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Q: Q1: Find the area of the region between the curve y x-3x and the line y = x.

A: Given: Equation of curve y=x3-3x Equation of line y=x

Q: 6. An insurance company has an obligation to pay the medical costs for a claimant. Average annual cl...

A: Solution:-

Q: $102 is invested in an annuity at the end of every month at 8.5%.  Find the value of the annuity at ...

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Q: a) Find the Taylor series representation for f about x=1.5 that is valid for all x € (1,2) -Use the ...

A: This is a Taylor theorem approximation.

Q: 4. Show that the collection C = {[a, b) | a < b, a and b rational} is a basis that generates a topol...

A:   Given:         l = {[a,b]} | a&lt;b , a and b rational}

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A: Parametric equation of the line

Q: A professional basketball team plays in an arena that holds 20000 spectators. Average 2) attendance ...

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Q: If M and N be the subspaces of V that contains the set of symmetric and skew- symmetric matrices, re...

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