Let I be the moment of inertia of the plate with density p = 1 bounded by y = ez, y = e, x = 0 about the r-axis.

Q: 2. Using the identity -4 %3D 5 compute -6 -5 Hint: = I2 2

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Q: estion 3. Suppose G is a group with order 99. Prove that G must have an element of order 3.

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Q: Q5) Find the Fourier transform of: SCos(nt/t) for lel < x(t)=D .elsewhere) Sketch X(f) versus f.On t...

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Q: Obtain the solution using Integrating Factors Found by Inspection Please don't use other methods. U...

A: To find- Obtain the solution using Integrating Factors Found by Inspection yx3y3 + 2x2 - ydx + x3xy3...

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Q: Topic 2. Differentiability. (a) Describe the basic theory of differentiability for functions R2 → R,...

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Q: r number 6 and 7

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Q: 1 -) --() u2 1 2 Given are the vectors and Span{v1, v2} a) Determine if these vectors are in the lin...

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Q: Evaluate SS 5ex+y+" dV over B where B = {(x, y, z) : x² + + z² < 1}. Take = 3.

A: The integrals in the form ∭f(x,y,z)dV is called a triple integral. In this problem, we have to evalu...

Q: (d) How many pairs (f, g) E F x F are there so that go f(1) #1 or go f(2) + 2? Explain.

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Q: Find the solution of the initial value problem substitution y-erX in to given defind

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Q: 10. sin-'x dx 12. p° In p dp 14. s2' ds

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Q: use method of frobenius to obtain series solution of the equation; xy''+(4-x)y'+y=0

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Q: Consider the following event: Rolling a twelve-sided die and getting a number smaller than 6. What i...

A: Since you have asked multiple questions here, we will solve the first question for you. To get the s...

Q: Find the local extreme values and saddle point of the function f(x, y) = 2x3 + 2y3 – 9x? + 3y? – 12y

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Q: R.4. Prove that for every integer n, n³ is even if and only if n is even.

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Q: 9 and 10

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Q: Which of the following functions are solutions of the differential equation y' + 2xy = 14x? 7x2+4 O ...

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = - 6x2 - 3xy - 8...

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Q: Find the perimeter of the loop of the curve 9y² = x² (2x + 3). O 3/2 units O None of the choices. Pl...

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Q: Question 6 The following function is homogenous of degree what? Vx++x²+y? x+y other/not possible 2 4...

A: For the detailed solution of the problem follow the next step.

Q: 5 -3. u2 -7. and uz 20 elect all of the vectors that are in the span of {u1,u2, U3}. (Check every st...

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Q: Q2/ If y.- 3, yl= 12, y2- 81, y3- 2000, y4= 100 calculate A'y

A: Disclaimer: Since you have asked multiple question, we will solve the first question (Q2) for you. I...

Q: 8 If A is then the value of |A121 - A120 1 7 6

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Q: Find the formula of the Sequence. 1.) 2,1,3,4/3,15/4..., or 2, 2/2, 3/1, 4/3, 5(3)/4,...-

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Q: Q6. Assume the cost of each basic operation is 2 millisecond. Then, the estimated running time of th...

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Q: 4. Let V be a vector space of dim 3 over R let T : V → V be a Linear Transformation 1. -1 given by t...

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Q: 1. Show that the scalar multiple of a diagonal matrix is also a diagonal matrix.

A: Since multiple questions are asked we are answering the first question. 

Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

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Q: Question 2. Let G be a finite group, H 3 G, N 4G, and gcd(|H|, |G/N|) = 1. Prove that H 3N.

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Q: The plane that contains the points (-2,1,0), (1, 0, –1) and (0, –1, 1) is orthogonal to which vector...

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Q: 2. For the graph below determine the equation of the graph. 10 undefined 20 -18 -16 -14 -12 -10 -8 1...

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Q: find the radian measure of the central angle pls

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Q: Question 1. Let G is a finite group and ø : G → G' be a surjective homomorphism (that is, ø is a hom...

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Q: 1. Solve the maximization problem using the simplex method: S + 2r subject to: Gr+ 12 < 45 HAximixe:...

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Q: q.Evaluate. He. following.integuals.by.changing. the.arder.of.. integrahan.s. a... In3 +e simril dxd...

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Q: PROBLEM 2. Let U = {a, b, c, d, e}, A = {a, b, c}, B = {b, c, d} and C = {d, e} Find each of the fol...

A: Given set is U=a,b,c,d,e, A=a,b,c, B=b,c,d and C=d,e. a We have to find the A'∪B. First find the A',...

Q: Question 5 The following function is homogenous of degree what? Vx?y²+x²+y² f(x,y) = х, у ху 1 3 4 o...

A: We have to find the degree of function.

Q: Let U1, U2, U3 be three vectors in RT and let Aij = U¡ • Uj. The values of aij 25 17 28 are given in...

A: ||-7u2|| = 7 ||u2|| Now, ||u2|| = √(u2 . u2)                     = √a2,2  [as in the given definitio...

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Q: Question 4 (Round to 2 decimals when needed) Solve for the optimal x*, y*, z*, and 1* of the followi...

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Q: 1- find m n x., min. and saddle points for the following functions : * f = 4x - 6 xy +5y" -20x +26y ...

A: We shall find the maximum, minimum, saddle points for the given functions Consider f=4x2-6xy+5y2-20x...

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