Compute the value of representation ³√√√3-i in exponential representation and polar

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A: Here we have to find the limit of the function.

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A: To evaluate the following.1 ddxx2+1x4-12 ddxx2+150

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A: Explanation of the answer is as follows

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A: Here is the solution of the given problem:  Complex Number and it's conjugate:

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A: This question can be solved using the concept of limits.

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A: To find the number of apartments for which the cost is minimum and also find the minimum cost.

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Q: 13. Write the parametric equations of the line through the point P(-6, 4, 3), that is perpendicular…

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A: Given

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Q: Show that the solution y(t) of the initial value problem has the Laplace Transform y" + 2y' - 3y = 6…

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Q: - Find the inverse of the following matrix by using Gauss-Jordan eliminations 0 21 -1 2 3 12₂₁ +1 2…

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Q: The radius of a right circular cylinder is given by √t+ 9 and its height is √t, where t is time in…

A: Given: radius of the cylinder, r=t+9height of the cylinder, h=19t

Q: Q1. Find the inverse of the following matrix by using Gauss-Jordan eliminations 1 21 2 3 12₁₂ +1 -1…

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Q: 1. Iim (10) A. 11 B. 10 2. lim (x²-3x-1) A. 11 B. 10 3. (x²-25x - 5) A. 18 B. 17 4. lim [(x-4)(x+6)]…

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Q: Q5. Given two vectors a = and b = . Find (i) (a + b). (axb) (ii)the angle between a+b and axb.

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Q: Name the quadrant in which the angle 0 lies sin 0>0, cos 0 >0 The angle 0 lies in which quadrant?

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Q: 3. Which vector is not normal to the plane x+2y-3z-4=0? a) [2,-3,4] b) [-1,-2,3] c) [2,4,-6] d)…

A: which vector is not normal to the plane

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Q: 2. y' y' = y+x²y , y(0) = −2

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Q: 3. Does the parametric equation r = (2,-5,2) + s(1,4,2)+(-2,-3,1), s,/€ R, and the vector equation…

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Q: 2-x x+²√√x+2-√√3x-2 c) lim-

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A: Differentiate

Q: An area is bounded by x^2 = 8y, y = 3, and the y-axis. This area is located in the first quadrant.…

A: An area is bounded by x2=8y, y=3, and the y‐axis. This area is located in the first quadrant.To…

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A: In given graph period of function is pi. Stretching factor is 1

Q: b. |ā + (bx c)|

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Q: A. Find the determonant of the matrix A 2 1 -21 -1 -2 -1 4 3 132 2 1 1 2 2-31 ܝܪ ܠܕ ܬ ܨܐ 1

A: To find the determinant of the matrix A=121-2-1-2-142132-212-3.

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A: Given vectors a=-2i-j+3k b=2i+j-3k

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Q: Find the integration by using substitution method 2 dx x² - 6x + 10

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Q: 5.Express this model of an electric circuit d² y dy +6¹ +5y=sin10t, y(0)= 0, y'(0) = 1 dt² dt As a…

A: First I have introduced two functions and then find pair of first order differential to the given…

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Q: Q4. Let R be the region shown in the accompanying figure. Evaluate the following integral by…

A: Explanation of the answer is as follows

Q: 1. Evaluate the lim [In (x)] using table of values. Table A (for x values that approaches 1 from the…

A: SOLUTION-

Q: Use synthetic division to find the quotient and the remainder. (x5 + x³ -x)+(x-2) Q(x) = R(x) =

A: Here we have to use synthethic devision.

Q: Simplify 2cos^2(1/2x) -1 = ?

A: We will find the value of x in this question.

Q: Use long division to find the quotient Q(x) and the remainder R(x) when P(x) is divided by d(x) and…

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