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Q: Use Divergence Theorem to find the

A: Given, a quadratic surface                          z2+3y+4x2=3 with the solid region bounded by the...

Q: Problem 1. Let w =7+4i and z = 11 + 2i be Gaussian integers. 1. Find the gcd d e Z[i] of w and z suc...

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Q: 3. Consider the matrix B = a. Find its eigenvalues and the corresponding eigenvectors. b. Orthonorma...

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Q: Use cylindrical coordinates. Evaluate (x - y) dV, where E is the solid that lies between the cylinde...

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Q: For what values of h are the given vectors linearly independent? -10 3 h Vectors are linearly depend...

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Q: how detailed solution for all. Provide the Maclaurin series expansion of f (x) In(3 – 2.r) Find its ...

A: Macluarin series expansion

Q: V Sove using variaton of parameters recuction of order or (D² - 2D+1) y = e*(e*+)*

A: Please find attachment for the details solution 

Q: Using vector Calculus, Parametrize the circle of radius 5 having centre (8; -3) and hence and a tang...

A: Solution:-

Q: 3. 4. a bcdefgh f gh a bcdefgh 8. 8. 8 8 7 7 7 7 6. 4 4 4 4 3 2 a b cde f gh a b c d gh 40 Copyright...

A: We have to give the position of white king for check .

Q: Let V be the vector space of polynomials of degree < 2 with real coefficients, endowed with the stru...

A: Given that V be the vector space of polynomials of degree ≤2 with real coefficient, endowed with the...

Q: +0o In n E(-1)" n2 n=2

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Q: Write the general form of the partial fraction decomposition of the following integral but do not so...

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Q: It is given that the Roll's theorem holds for the function f(z) = + ar + bar, 15 52 at a point c . T...

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Q: 3. Solve the riddle below. R¬RP= Q¬R^ (P= Q) PQ T F U TT T В U TF FT T T T F Y Y FF FT T T TF F D K ...

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Q: True of False Choose True if the statement is correct, otherwise False. 1. Suppose a matrix A has th...

A: 1.Let us consider a matrix:A=123111001Now,detA=123111001=1[1-2]=-1

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

A: This is the problem of LP. finite math.

Q: Find the absolute extrema of the function f(x, y) = 3x2 – ay – y? – x – 3y + 5 on the domain defined...

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Q: Let G be a bipartite graph.(Give a sketch on each) a) Is the complement of G also bipartite? Explain...

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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: 1. Defective DVDS From past experience, a company found that in cartons of DVDS, 90% contain no defe...

A: Solution:-

Q: 4. Use Laplace transforms to solve the following initial value problems. d?x "+2+4x = 0, x(0)=0 , x'...

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Q: Approximation Theory Q1\ Define the strictly convex norm. Let F [0, 7] and let fi (x) = sin(x), f2(x...

A: Given: F = [0,1] and let fi(x) = sin(x), f2(x) = cos(x) and || || = || | . Is || ll strictly convex ...

Q: etermine whether the given series is convergent or divergent. Justify your answers. (2n)! 2n 1 a) 2 ...

A: We use convergence test for series.

Q: Solve using variaton of parameters or recuction of order (D²-2D+1)y = e" (e*+)²

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Q: Question 6 For what values of h are the given vectors linearly independent? 6. 5 -10 Vectors are lin...

A: We have to find the value of h such that the given set of vector is linearly independent.

Q: Find the area of the finite part of the paraboloid y = x² + z? cut off by the plane y = 16. [Hint: P...

A: Surface area in xy-plane

Q: Which vectors are in the span of B = w = w and x v and x II O in II

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Q: 4 1 5. X 14 4b +5 6 6. 5b -11 9 %3D

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Q: The curve C is the circle of radius 5 contained in the plane z 5 and centered around the z-axis, ori...

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Q: Solve y' 12ry – 2.x, y(0) = 15

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Q: 6. Use the shortest path algorithm to find the shortest path from A to G in the weighted graph below...

A: We will choose shortest path from starting point to reach the next point. 

Q: 1.identify the fixed points, cobweb the diagram, and assess whether the fixed point is an attractor ...

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Q: MY NOTES ASK YOUR TE triangles to solve. es a mirror on the ground and sees the reflection of the to...

A: Solution:-

Q: 5a+2b 3. Decide whether the set of all vectors of the form is a subspace of R³ or

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Q: -6 5 4 The plot above is created with the paramet S«(t) = a cos(bt) ly(t) = c sin(dt) To acheive thi...

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Q: -5t Find the general solution of the differential equation: y' 4y e Use lower case c for the constan...

A: Linear differential equation

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

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Q: Using or is conicrgent or thorem test. Justfy whether a duvergent given oeries t. s Un where sn= U,t...

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Q: Given the side lengths, determine whether the triangle is acute, right, obtuse, or not a triangle. Y...

A: Given, the side lengths                                  11, 13, 25        

Q: Exercise 9.3.11. Let n= ab be an odd composite number where a, b e N. Prove that n can be written as...

A: We are given that n=ab be an odd integer , We have to show that n=x2-y2 , where both x and y are int...

Q: The path of a particle's motion is defined by y = x2 + 3x, where the dimensions are measured in cm. ...

A: The radius of curvature of the curve y=f(x) is expressed as ROC=1+dydx232d2ydx2 Differentiate both s...

Q: Assume that x x(t) and y y(t). Let yx +1 and dx 2 when x 3 dt dy when x 3. dt Find

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Q: nav's school is selling tickets to the annual dance competition. On the first day of ticket sales th...

A: Given: On first day 1 senior citizen ticket and 4 student tickets for rs $23. On second day 12 senio...

Q: 2. Assume that x > -1. Prove that (1+ x)" >1+ nx for n = 0, 1, 2, ....

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Q: The maximum directional derivative of f (x, y, z) =r sin(zy)-yz + 10 %3D at (1, -1, 0) is O v3 O 2 V...

A: For the scalar function f(x,y,z), gradient is the maximum rate of change.  So, first we will find gr...

Q: Describe the conditions that would create an ambiguous case with two possible solutions.

A: Ambiguious case of law of sines. Now lets take an example. Now let angle A be 45 degrees, side a =9 ...

Q: Find f, (x.y) and f, (x,y). Then, find f, (1,-3) and f,(-1,- 2). f(x,y) = - 5xy + 2y +6

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

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Q: The simple solid Q, drawn in the first octant and generated by the surfaces I = (y – 3)2 +1 42 + 3r ...

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Q: 8) Find the parametricequation of the Line passes through p(2, 13to 3x+y-22 =5 and perpendicularof 4...

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