For which p= 3 mod 4 is i a square in F»[i]? For which p = 3 mod 4 is i the square of an element in T(p)?

Q: a bc a Jalue of b ac is: 1 c ab (a) 0 (b) 1 (c) -1 (d) none of these Select the correct response: d ...

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Q: 9) Generate equations that represent the pollution levels P(t) as a function of time, t in years, su...

A: Given,when t=0,P(t)=150 (a). P (t) triples every year  P (1)=150*3 P (2)= 150*3*3 Thus P(t)= 150*3^t...

Q: [1 0 If A 2 -21 , then the matrix X for which 2X + 3A = 0 holds true is -3 4 -3 -올 3 3 6. -6 Select ...

A: Find the matrix X for which 2X+3A=0.

Q: Given y-5y" – 25y" + 125y' = t² +9+ t sint, determine a suitable form for Y (t) if the method of und...

A: To determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. 

Q: NUMERICAL ANALYSIS

A: Based on image we shall solve all the questions, When n=2, the problem becomes: Given: X0X1 fo f1 Fi...

Q: Match the theorem or rule for what it justi 25 One pair of consecutive sides are congruent It has be...

A: Given: One pair of consecutive sides are congruent:  It has been proven to be a mombus and a rectang...

Q: Given [1 4 1 -3 -1 A = 3 4 -6 8 0 -1 3 Find a basis of the range of A.

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Q: Jse Gauss-Jordan Elimination to solve the following system. Identify the Gaussian Matrix and the Gau...

A: Convert the given system of equation in the matrix form. 3-0.1-0.20.17-0.30.3-0.210xyz=7.85-19.371.4...

Q: 3. Determine which of the following sets of functions are subspaces of F[a, b]. a) All functions f i...

A: NOTE: According to guideline answer of first three subpart can be given, for other please ask in a d...

Q: Name: Date: Per: Exit Quiz: a. Create an arithmetic sequence and explain why it is arithmetic. (at l...

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Q: Use the equation giving the flux of the vector field across the curve to calculate the flux of F(x, ...

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Q: Suppose that the marginal propensity to save is ds = 0.3 – dy (in billions of dollars) V 9y + 6 and ...

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Q: Suppose there are balls of 6 different colors, i.e., Red, Blue, Green, Yellow, Black, and Brown, in ...

A: given total number of color of balls =6 also, there are exactly 25 indistinguishable balls of each c...

Q: Given the following matrices, perform the indicated matrix operation. 8 1 [5 1 -2 -3 -4 0 -9 3 1 7 2...

A: We can solve this question using given information , first we multiply 4 into matrix B next we trans...

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Q: Find the directional derivative of V.U at the point (4, 4, 2) in the direction of the corresponding ...

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Q: 1 1 1 1 1 2. -1 2. 1. A = -1 2 1 3. 3 2 0-10 0 -10 -5 0. 2. B = -2 10 4 -5 -4 -2 From the given of P...

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Q: To accommodate more depositors, new investment products were made available to the small businesses ...

A: 1st we will form system of linear equation using three variable and then solve it by using inverse m...

Q: For integers æ, y, notation æ|y means that x is a divisor of y. (For example 5|30, but it is not tru...

A: After the assumption that 3| (22k - 1), we need to mathematically formulate this.  i.e., from the in...

Q: 46. Evaluate I = ye²y dy dx You will need Integration by Parts and the formula |e (x-1 – 2-2) dæ = x...

A: Evaluation of double integral in rectangular coordinates, using Fubinis theorem

Q: Could you summarize the pointwise convergence of the full Fourier series expansion of f(x) = x + 1 o...

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Q: [1 -1 A = 3 2 and B = 3, find (AB)T -1 5 1. 2. [-2 4] 3. 4. [-2 -4] Select the correct response: 1 4...

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Q: = The value X3 .3 -2 x1 + 6 x2 + X3 – X1 +x2 + 7 x3 = -6 4x1 – x2 – X3 = 3

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Q: Match each of the following with the correct statement. A. The series is absolutely convergent. C. T...

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Q: Solve the following homogeneous problems 3 u(1,t) — и (2, t) —0 u(x 0) =x- 1

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Q: 8) Use the Gauss-Jordan method to find the inverse of the matrix A %3D 23

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Q: 7. Solve the given differential equation. * SHOW YOUR COMPLETE AND CLEAN SOLUTIONS. 2r² (x² – x) (y'...

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Q: Find the general solution of the differential equation y" +36y = 17 sec (6t), 0 <t < 12 %3D NOTE: Us...

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Q: . Is sin y x² dx + ydy = 0 a linear?  2. Is y' = y+x / x a homogeneous Equation?

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Q: Find the Inverse Laplace Transform of 2+4s +4 B -21 te -12 2.

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Q: Find the solution. dy x3- 2y dx xy= 3x3 2y2 +

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Q: Determine whether each of the following statements is true or false. You do NOT need to explain. If ...

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Q: Prove the following are valid (theorems) using resolution: (You must negate!) 1) (~Q->~P)--> ( (~Q->...

A: As per norms, we will be answering only the first question. If you need an answer to others then kin...

Q: Find (A, B), ||A||, ||B||, and d(A, B) for the matrices in M2,2 usir (A, B) = 2a11b11 + a21b21 + a12...

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Q: Using the theorem on determinants, show that |1 a2 a A 1 (ь — а) (с — а)(с — b) b b2 | - c²

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Q: Prove that if a is an even integer that

A: To prove that if a is an even integer that is not a multiple of 4, then 4|(a2-a-2).

Q: Consider the following maximization problem. Maximize P = 12x + y – 13z subject to the constraints 1...

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Q: 5. In previous problems dealing with two species, one of the animals was the predator and the other ...

A: (b) we have given the system A dxdt =-5x+2xydydt =-4y+3xy we have to determine all the equilibrium s...

Q: Problems for Banach spaces 1. Check that the following functions on R are norms: 1/p a) | (1, 12) ||...

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Q: Use the functions f and g in C[-1, 1] to find (f, g), ||f||, ||g||, and d(f, g) for the inner produc...

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Q: Find ProjS(u) where S is the space spanned by v1= (1/3)(2,1,2) and v2= (1/3)(-2,2,1). Find the ortho...

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Q: On July 3, the ABC corporation closed at $43.67. This was a $0.47 increase from the close the day be...

A: Given on July 3 the ABC corporation closed at $43.67. this was a $0.47 increase from the close the d...

Q: Provide an appropriate response. How do you 13) Let f have a derivative on an interval I. f has succ...

A: Given : f have a derivative on an interval I. And f' has a successive distinct zeros at x = 1 and  x...

Q: If the order of A is 4x 3, the order of B is 4 x 5 and the order of C is 7 x 3, then the order of (A...

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Q: Find the Jacobian of the transformation x 2u, y = 2uv and sketch the reg

A: (a) Given,             x=2u, y=2uv  

Q: if f(z) = (ax – x³ + 3xy²)+ (by – 3x² y + y) is analytic, then the value of a and is

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Q: 6. Find the Inverse Transform of F(s) S-8 3 A f(1) =6+e¬8 – 4e B f(1) =6-e"+ 4e* © s(1) = - 6+ e + 4...

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Q: x+ 2 2x – 3 x+1 4 If A = is symmetric, then what is x equal to? | 1. 2 2. 3 3. -1 4. 5 Select the co...

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Q: Tx/2+sin(ix) f(x) = V2r then = (x).

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Q: Vy E R Ja E R [ (x² + y² + 1)ª+y+1 = 1] O True O False

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