Find the center of mass of a thin plate of constant density ô covering the given region. The region bounded by the parabola y = 6x - 4x and the line y = - 6x The center of mass is (Type an ordered pair.)

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A: This is a problem of vector algebra.

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

Q: Evaluate Le sin at 2)

A: In the given problem we have to evaluate                                                        Le-k...

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A: For the solution of the problem follow the next steps.

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A: We have to find vector R(t).

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A: as per our company guideline we are supposed to answer only one qs kindly post remaining qs in next ...

Q: Consider the following planes. -бх + у + z %3 б 12x – 2y + 6z = 36 (a) Find the angle between the tw...

A: Given planes are  -6x+y+z=6 12x-2y+6z=36 (a) We find the angle between the two given planes.

Q: • Exercise 2 Assuming that i) the sequence of functions {f„(x), x € [0, 2)} converges to f(x) in L2[...

A: We will use the basic knowledge of analysis to answer this question properly, in detail. Here, I am ...

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize...

A: We can solve using lagranges multiplier 

Q: 3. Calculate the Laplace transform L{(t+ V5)(2t³3 – V3)}.

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Q: B. Mrs. Cachia gave the following question on a test: Simplify 5 + 7.

A: clear explanation is given below

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A: For a quadratic equation: ax2+bx+c=0, the roots are calculated using the formula: x1, 2=-b±b2-4ac2a....

Q: Question 1. Identify the correct description for the formula y'(x) -ky(x - k) + k-?y(x) from the fol...

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Q: a) If A belongs to B and B belongs to C, then A belongs to C. b) If A belongs to B and B belongs to ...

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A: Answer for your mentioned question is below

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A: Fourier transform, of even function

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Q: 2. X + 5y + 15 z + 35 w + 70t = 0 x + y + z + w + t = 1 X + 2y + 3z + 4w + 5t = 0 2x + 6y + 12z + 20...

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Q: Consider the ODE /(t) = 2t - 2y(t) +1 (i) Find the general solution of the differential equation (ii...

A: Given DE is  y'(t)=2t-2y(t)+1......(1) (i) We find general solution of DE (1).

Q: plot some indifference curves for the utility function u(x,y)= x^2 + y with some calculations

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A: This is the question from linear equation formation, real-valued function.

Q: Selve y?r-ays 7t= Puby uiry morge pleare do et fast

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A: Introduction: When we determine the limit of a function whose base and exponents both contains a fun...

Q: (D) Drawing Slope Fields - Examples Draw the slope field for =y-1 dx

A: This is a problem of the autonomous differential equations.

Q: al) Consider the following differential equation, with time domain t e (0, 1): Sy' = (t2 – 1)y, Tu(0...

A: We are given the following differential equation with time domain t∈(0, 1) is the following.        ...

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Q: 1Fin a normed space X, the a bsolute convergence of everyseries al ways implies convergence of the s...

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Q: cercise 1.10. (a). Let V = R² = {(x,y)| x, y 2 0} with usual addition and scalar multiplication. Is ...

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Q: Drawing Slope Fields - Examples Draw the slope field for .Y dx

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