fined the conter, fuci,vedices and ecentrici ty for fhe folowing equetins! I x+uy-4x -8y +4=0 E42-5y-16x +1ay +31=0

Q: Evaluate the moment Mx and My of the region bounded by x + 2y = 6, x = 0 and y = 0.

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Q: Vx - 2 dx 5 x + 1)

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Q: 12 If SU = 37, find the length of SUR. S. %3D 151° R. T.

A: Given: SU=37(Note this represents diameter of given circle) And measure of angle SOR is 151°, where ...

Q: Exercise 4. Let F and G be homothetic functions in two variables. Is their sum homothetic? [Hint, st...

A: We will use the fact that the MRS of a homothetic function is always homogeneous of degree 0.

Q: Find Ix, Iy and Io for the first quadrant area outside the circle r= 2a and inside the circle r = 4a...

A: Moment of inertia of a region A  about x-axis Ix=∫∫Ax2dA about y axis Iy=∫∫Ay2dA about origin Io=∫∫A...

Q: Consider the points A(3,-3,3), B(4, –5, 1), C(-2, –4, 1), and D(6,3,-5). (a) Find the volume of the ...

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Q: 1 Let f(2) 2- 9 Part (a) Integrate the function f(2)along the curve C in the complex plane given by ...

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Q: Binomial Distribution: (n = 6, p = .2) Find (Use these data in Prob. 1-3) 1) Pr (r 1) 3) Pr (r < 3)

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Q: A tank contains 7070 kg of salt and 10001000 L of water. A solution of a concentration 0.035 kg of s...

A: Given: The concentration of salt in 1000 L water is 70 Kg. The rate at which the 0.035 Kg of saltwat...

Q: Let -2 V2 = iz = w = If possible, express w as a linear combination of the vectors v1, v2 and v3. Ot...

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Q: Find real numbers x and y such that iy 2 - i i + 3 1 + i ||

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Q: Problem 9. Let V1 = , V2 > V3 = 2 V4 = be vectors in R³. (i) Explain whyY you can deduce from Proble...

A: As per the question we are given four vectors v1 , v2 , v3 , v4 and we have to show that the subsets...

Q: solve for the function, x^3- 0.03x^2+2.4x10^-6=0, assuming stopping criterion of es=0.1

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Q: Let f(2) = : Part (a) Find the integral of the function f(2)on the circle of radius 8 centered aroun...

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Q: 3-x Evaluate I = [, x-2 (ii)

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Q: Question 18 T/2 Evaluate using Wallis' Formula: sin7 x cos5 x dx X CO

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Q: From the premise that a linear operator is diagonalizable with respect to a given base, it cannot be...

A: (1). Consider the given statement. "From the premise that a linear operator is diagonalizable with r...

Q: Instruction: Solve the following system of homogeneous linear differential equations. Present your s...

A: Given that  x'=3x+5yy'=-x-yx0=5,y0=-3 We have to solve the system.

Q: Q1 Solve the following differential equations dy X-y+3 2x -- 2y + 5 dx 1)

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Q: 2. A number U is selected at random between 0 and 1. Let the events A and B be "U differs from 1/2 b...

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Q: Determine the complex number z that solve the problem 1-18i 4z - 3z %3D 2-i

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Q: Determine if the series is absolutely convergent, conditionally convergent, or divergent. 2n +1 Σ -1...

A: We have to find if the given series is absolutely convergent, conditionally convergent or divergent....

Q: Let p and q be propositions. Construct the truth table for the compound proposition (p→q) ^ (p → q).

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Q: Given the series: 3 k=1 does this series converge or diverge? O converges O diverges If the series c...

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Q: Evaluate L-1 [6s-5' s²+95

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Q: Express the complex number equation below into polar form. 2i (3 + i) (1 + i3) = -8 %3D (2e) (2c분) (...

A: We need to convert given complex number into polar form, We know that polar form of an complex numbe...

Q: Express the given complex number in exponential form into a + bi form. 157 2e 6 1 + i3 - \3 + i 1 - ...

A: The given complex number is ;                                     z = 2e5πi6 We have to find this co...

Q: 2. Find the distance between the pairs of points using the distance formula. b. (4,8), (8,0) c. (0,5...

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Q: Find the volume generated by revolving bout the line y = -1 the area bounded by (x – 2)² = 4(y + 2) ...

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Q: 11011two − 10101two

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Q: Evaluate the moment Mx and My of the region bounded by x = 2y – y? and the y=axis.

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Q: (i) Find the Laplace transform of e" sin 21 dt (ii) Form the PDE by eliminating arbitrary constants ...

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Q: Use the laplace tranform to solve the following initial value problem (e) y" - v = -205(t – 3), (0) ...

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Q: Calculate the definite integral by referring to the figure with the indicated areas. Area A = 1.425 ...

A: Given figure is   where  Area A=1.425Area B=2.56Area C=5.843Area D=1.764

Q: x* + ах + 2bx + 2ab + 2x3 — ах* + 6bx? dx x* + ах3 + 2bxа+ 2abx*

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Q: Problem 3. Please provide a typewritten solution! I will be very grateful!.  Please Solve only (a) a...

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Q: Show that t (T (n)) = 2 if and only if n = p9-1 for some primes p, q. %3D

A: T(n) is the divisor function which counts the number of divisors of a number. 

Q: 2 + 2 + 2 = 6 . 3 3 = 6 4 4 4 = 6 5 = 6 6 = 6 7 = 6 8 = 6 6 6 7 7 8 8.

A: Use  BODMAS while evaluating2+2+2= 63×3-3= 64+4+4 = 65÷ 5+5 = 6

Q: 16 8 Find the value of x. SU (2x+21) 54° (5x+61 10 Find the length of KNJ. 48 J M

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Q: Find the selling price of a DVD set which costs Rs. 2039 and the markup is 30% on cost. What is the ...

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Q: Consider the series In(k) k2 k=1 a) Enter an integral whose convergence or divergence is equivalent ...

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Q: 13 () 9. If A is a 3 x 3 matrix such that A 1 and A 4 1 then the product A 7 is %3D %3D 8

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Q: Let V denote a vector space over F. Suppose {B1, B2,..., B1, B41} is linearly independent in V and {...

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Q: A solution of the differential equation 2 y"

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Q: Find the volume of the solid generated by revolving the area bounded by x? – 2kx – 2ky + k² = 0 and ...

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Q: PLEASE SOLVE THIS NEATLY AND COMPLETELY.  Solve this differential equation using two types of first...

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Q: 4. S dx 9-x x2-1 dx 5.

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Q: Find AB if A = 2 1 -2 -1 1 1 B = 2 -2 -2 -1. 2 1 12 8 4 2 1 12 8 0 4 0 1 12 6 12 6. 4.

A: We have to find product matrix AB

Q: 1. Express the following proposition in a symbolic form by defining atomic propositions and construc...

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Q: 21 z, Z

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