PROVE THE FOLLOWING 1- FOR a COMPLEX NumBER 2, PROVE THAT 1712 = 2 . %3D

Q: E = 115,000ejo M = cosh (0.05 + j0.5) A = 400[cos(5) - jsin(5)] T = VM² –1 200,000,000ej0.241 H = ЗЕ...

A: Given that E=115,000ej0, M=cosh0.05+j0.5, A=400cos5-jsin5T=M2-1 and H=200,000,000ej0.2413E We have t...

Q: Proof by Contradiction to prove that for all a,b∈R, if a is irrational and b is rational, then a+b i...

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Q: os - and b, = cos 1 for all n eN such thatn > 2. п-1 Let an = COS п = COS Determine whether the give...

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Q: e lim Secx-1 Sinx (-esux) 3}r® २5 ९६० 5x 2 lim ーD6 Sin5x of Sin4x. e lim メーD6 よ + tan 38

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Q: 3メ-y+2w-4 X+y +2-2w =-4 the solution of nonsingular system 6=モ-K+Xと Sy+2-w=3 %D ンニ Z=? nononon o

A: To find- Find the solution of the non-singular system x + y + z - 2w = -42x + y - z = 93y + z - w = ...

Q: a) (x² + y² + z²)² = xyz %3D

A: see the attachments below

Q: Let B= {b1,b2} and C= be bases for a vector space V, and suppose b, = 8c, - 2c2 and b2 = 9c, - 3c2. ...

A: a. Given B and C are two basis. We have to find change of basis matrix from B to C As we know change...

Q: absolute percer evaluation with the endpoints, is

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Q: 3 -1 0 2 subspace of R³. Which subspace can you obtain by the column space of this matrix. Q.3) Cons...

A: Given: A=13-1024. To show: The null space of A is a subspace of ℝ3. To find: Which subspace can be o...

Q: (1 – 2² + y²) dx + (1+x² – y³) dy.

A: Here we combine C1 and C2 and then Apply Green's Theorem.

Q: Use Lagrange multipliers to find the maximum and minimum values of the function f (x, y, z) = x² + y...

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Q: Why does the graph above represent a logarithmic function

A: To explain why the given graph represents a logarithmic function.

Q: Find a particular solution of the differential equation using the method of undetermined coefficient...

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Q: Let y : 7(t) = (ť² , t° tangent line to Y at ī(t) is parallel to the vector (1, 3, 8) ,t² ). Select ...

A: Given that                       γ : r¯(t)=t2, t3, t4.

Q: An edge is called a bridge if the removal of the edge increases the number of connected components i...

A: We draw a graph without loop, find number of bridges by removing edges.

Q: sqrt(i^sqrt(i)) = 0.48761947 + 0.302570281 i

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Q: Determine if this graph is - Planer - Connected - Simple

A: 1)A simple graph , is an unweighted, undirected graph containing no graph loops or multiple edges 2)...

Q: s have repeated, real, characteristic roots. Find the general solution in each case. a.y'' − 6y' + ...

A: Given differential equation is y'' − 6y' + 9y = 0

Q: An unforced, undamped Duffing equation (see web and Kreyszig §4.6 for applications) can be modelled ...

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Q: The graph of a function is shown together with the tangent line at a point P. The x y-coordinate pla...

A: Slope of f indicates the derivative of f

Q: Part 3). Consider the right triangle shown below. Verify that y =h by using calculus principles to s...

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Q: Let z = cos(xy) + ycos(x), where x=s^2+t and y=s-t^2 . Find the partial derivatives (derivative z)/(...

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Q: Let A be the matrir A = -6 2 Find the characteristic polynomial and eigenvalues of A.

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Q: Question 3 Solve for x: 32+104 x(mod5) 04 O 2 MAR 21 MacBook Air

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Q: Solve for w where u (1, 1, –1, 0) and v = (2, 3, 0, –1). 5w = u – 4v w =

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Q: Let C be the boundary curve counterclockwise of the semidisk æ? + y? 0. Then fc(-2ydx + 3xdy) 5dydx...

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Q: The hour hand on my antique Seth Thomas schoolhouse clock is 4.1 inches long and the minute hand is ...

A: Given- The hour hand on my antique Seth Thomas schoolhouse clock is 4.1 inches long and the minute h...

Q: 2. CILO 2, 3, 4) Given the following: (CILO 2, 3, 4) E = 115,000ejo M = cosh (0.05 + j0.5) = 400[cos...

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Q: Solve the linear system using Gauss-Jordan Method 2y + 5z - 3w = 16 2x + 3y + 3z + 4w = 110 2x + 5y ...

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Q: Given the function: f(x)= (x + 5)2(x - 3)3, which finite differences will be equal (or constant)? En...

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Q: Find the matrix of the quadratic form 2x1? + 3x2² – x3² + 4x1x2 – 2 x1X3 + 6x2x3 - x3? 2 2 -1] 2 -2 ...

A: Given quadratic form 2x12+3x22−x32+4x1x2−2x1x3+6x2x3. We have to write the matrix of the given quadr...

Q: Let n be a real number and let e be a positive real number. Determine whether there exists a real nu...

A: see the attachments 

Q: Solve for w where u = (1, 1, –1, 0) and v = (2, 3, 0, –1). 5w = u - 4v W =

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Q: Write the interpolating polynomial f(x) that passes through the points: x0 |y | 3 6 4 4 2 10 1 (a) W...

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Q: Suppose {an}∞n=0 is a convergent sequence with limit L and an ≥ 0 for all n. Prove L ≥ 0

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Q: Willow carries 6 notebooks and 2 textbooks in her backpack. Each notebook weighs 110 grams and each ...

A: Given Willow carries 6 notebooks and 2 textbooks in her backpack.

Q: Find the general solution to the differential equation x²y" – 3xy' + 13y = 4 + 3x 2. (where y' = ) d...

A: Given differential equation x2y''−3xy'+13y=4+3x......1. We have to find the general solution of the ...

Q: (a)

A: Given,           jj

Q: Solve for w where u (1, 1, –1, 0) and v = (2, 3, 0, –1). %D 5w u - 4v %3D W = Submit Answer

A: Solution:-

Q: (t+ 9) y" + 2t y = 0 y(3) = 2n У 13) 2/3

A: We solve the given IVP  (t2+9)y"+2ty'=0.....(1) y(3)=2π,y'(3)=2/3

Q: (b) Find all the critical points of the function: f(r, y) = +y- 3ry+7, and identify their nature as ...

A: We have to find the extreme value of f(x,y).

Q: E Quation: 13-0.2x+0.0015x2 Compare C'(400) with the cost of manufacturing the 401st yard of fabric....

A: We will calculate C'(x) from the given equation and then compare it with C(401)-C(400)  

Q: If HoK suchthat ate Nolmal Subgrowßsofthe grouf G G-=H0K.thanG ~H and Ç ak K

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Q: How many rows appear in a truth table for this compound propositions? (p → r) V (¬8 → ¬t) V (¬u → v)...

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Q: A linear transformation T is said to be nilpotent if T" = 0 for some n. Show that a nilpotent transf...

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Q: ers such that p2 e matrix

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Q: Evaluate the contour integral. (complex analysis) a) 1 dz where C is the semicircle |z – 1| = 1, Im ...

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Q: Solve the following initial value problem y''+25y=5x,  y(0)=1 , y'(0)=5

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Q: L2 0001-(3 1- (p 32 1001 (3 8 001- (a Lて a) 22 6. Find the least nonnegative residue modulo 13 of ea...

A: We find the least nonnegative residue modulo 13 of each of the given integers.