Q6/ Find the moment of inertia and radius of gyration about the x-axis of a thin plate bounded by the parabola x = y - y and the line x +y = 0 if 8(x,y) = x +y.

Q: Please explain your answer in detail. Use Cramer's rule to solve the system. 2x, + X2 = 12 - 3x1 + X...

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Q: The Voronoi diagram below shows three identical cellular phone towers, TI, T2 and T3. A fourth cellu...

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Q: Assume that all the given functions have continuous second-order partial derivatives. If z = f(x, y)...

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Q: a) Use the bisector method to guarantee a solution for the equation 8x³ -16x = -7 in the interval [0...

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Q: 00 20 00 02 C = 2000 0001 0 010 0100 y D = 0 200 1000

A: let λ be an eigenvalue of C.

Q: Solve the initial value problem: y' 0.05y + 20 y(0) = 40 y(t) =

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Q: a. Find the open interval(s) on which the function is increasing and decreasing. b. Identify the fun...

A: Interval of increasing and decreasing

Q: Given this periodic function: f(t) =1 from 0<t<a and f(t) = 0 from a <t< 2a Solve for the Laplace tr...

A: Please find attachment for the details solution 

Q: Let a be a real number. Consider the series where a, = cos(nx); 2n + 1° n=0 (a) Is it possible to fi...

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Q: The sum of nine times a number and 2 more than the number is the same as the difference between - 10...

A: Suppose that the number is x,  Now sum of 9 times that number and 2 more that number = 9x+x+2 Again ...

Q: Make a concretr example of secant method then show your solution with explanation.

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Q: 2 0 1 8] 5 6 0.5 3 [20 A = |-5 [24 12 -36] 10 -30] 5 [2] B = |1 C = [0 8 4] D 2 1 2 4 Lo] -3 7 –1 0]...

A: Please find attachment for the details solution 

Q: Determine the particular solution that satisfies the differential equation and initial condition bel...

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Q: 3. Convert each of the following to exponential form and solve. a. n = log,16384 b. 6 = log,46656 %3...

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Q: II Solve the differential equations x (x- y²- x) dx =y(x²-y 2) dy when x=2, 1. y=0

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Q: Obtain the solution of this set of simultaneous equations: 3x1 - x2 - 2x3 = 1 -x, + 6x2 – 3x3 = 0 -2...

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Q: Qs ckeck the symmeleg ond skekh thegroph f at incromeate of (45) -2

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Q: (R) → M2 (R) defined by adA (B) = AB − BA is a linear transformation. Find bases for the kernel and ...

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Q: Q4sKetch thegaph of ra 4Sin

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Q: Prove. Power set of a null set is empty.

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Q: Consider the hyperbola of equation: (y – k)2 (x - h)2 1 a? 62 whose foci are (3, -1) and (3, 17), an...

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Q: Let h, k, r, m, n be constant and m, n> 0. A possible graphical representation for the surface of (y...

A: Given Equation:      r-z -y-k2n2 = x-h2m2

Q: Laplace Transform. Please show your complete solution

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Q: Solve the differential equation by using integrating factors. xy' = 3y − 8x2 y(x) =

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Q: Q7

A: We use theorem of linearly independent and linearly dependent vectors.

Q: Draw a line to show how the white king can move out check. Remember two kings can never move next to...

A: To draw a line where white king can move out of a check in the given situation.

Q: 4.) A 10-ft-long ladder leans against the side of a wall. The top of the ladder is sliding down the ...

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Q: For each of the following series, determine whether it is convergent or divergent. Justify your answ...

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Q: Find a vector equation of the line passing through the points P(-2, 1, 3) and Q(3, 0, -2). 1+t ,te R...

A: The vector equation of the line passing through the points A(x1,y1,z1) and B(x2,y2,z2)  is given by;...

Q: 7. The specifications for a storage container state that the length is 1 metre more than triple the ...

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Q: Determine whether the following sequence is convergent or divergent. Justify your answer. {Vñ - Vn+1...

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Q: 2) dy : %D

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Q: 2) Given the following information about a function f, sketch a possible graph of the function: f'(5...

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Q: The augmented matrix is given for a system of equations. If the system is consistent, find the gener...

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Q: 7. Check if the following graphs G and H are isomorphic. G: H:

A: Given the graphs G and H below.

Q: 8. Describe the transformations on the given logarithmic function. g(x) =-{log 1,[- ¿(x- 7)]– 85

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Q: 4. f(t) = e^(5t)(t^3) A. 6/ (s-5)^4 B. 6/ (s+5)^4 C. 6/ (s-5)^3 D. 6/ (s+5)^3 %3D

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Q: Find the derivative of the function by quotient rule. f(x) = 3x+7 5х-2

A: Use the quotient rule to differentiate the given function as in next step.

Q: Given a universal set U for a set X , if AC X , then (U – X) n A = Ø

A: Given a universal set U for a set X and A⊆X We shall prove it by contradiction method. Let us assume...

Q: Proposition 7. Let a, b, c, d E Z and n be a positive integer. If a = b (mod n) andc = d (mod n), th...

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Q: Sæ' = (2 – x)(y – x) y' = y – 2x – 2 - The system can be linearized at the critical point (-2,-2) to...

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Q: Determine the laplace of the following functions. 1. f(t)=[sin(2t)]^2 2. f(t)=e^(5t)(t^3) 3. f(t)...

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Q: Find the area inside the larger loop and outside the smaller loop of the curve + sin(0) 2

A: To find the area inside the larger loop and outside the smaller loop of the below curve. r=12+sinθ

Q: hether the following proposition is a tautology, contradiction, or cont

A: Make the truth table as follows p q r p∨q p→r q→r p∨q∧p→r p∨q∧p→r∧q→r p∨q∧p→r∧q→r→r T T T T T T...

Q: alue of 'A' the g has a non-trivia

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Q: U = 4u,, 0 0, u(0, t) = 1, u(T.t) = 1. t > 0, u(z,0) = 0, 0<r<7.

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Q: 3. The fractal C is constructed as follows. (i) Begin with the line segment Io = [0, 1]. (ii) Remove...

A: a) Find the length of the intervals removed from 0, 1 after three iterations. The length of an inter...

Q: • Use sequential continuity to show that any polynomial P(x) = x" +an-1x"-+...+ ao is continuous fro...

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Q: "a shark is spotted near to Brighton beach, a lifequard will activate a siren to wa Siren The sound ...

A: A  quantity is said to be inversely proportional to an another quantity when the value of one quanti...