Prove the converse of the Pythagorean theorem based on this Proof of the Pythagorean Theorem. A detailed proof is much appreciated

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A: Given: Simple graph G with 20 vertices. G has two-component with distinct vertices that satisfy…

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Q: 5. What is the general solution of the following differential d²y 6+9 dx3 d³y equation 'dx+ 3,9-0)?…

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Q: how that in D4 is not a normal subgroup. Please explain in details and show all the works.

A: To Show, a subgroup in D4 is not normal.

Q: Use Gauss-Jordan Elimination to find the inverse of -1 4 2 3 2 4 2 0 2

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Q: invest interest 2100,000 Me are going Is that an at rate of account 7.5% 4or Rarns 34 S4mon ths…

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Q: Assume xo = x2 – 2h, *1 = 12 – h, a3 = x2 + h, 24 = x2 + 2h Use the undetermined coefficients method…

A: To solving the system we use the Gaussian Eliminating and back substitute method

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Q: Σ S(0.881)" n=1 8.

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Q: S() = {2 -1st<0 0st<1 f(t + 2) = f(t) for alle t.

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Q: Find the solution to the linear system of differential equations 16x + 12y —36х — 26у ly' satisfying…

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Q: Find the 9th term of the harmonic progression 3,2,3/2

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Q: Solve the following initial value problem. y(3)-2y''+y'=6+8xex; y(0)=y'(0)=0, y''(0)=1

A: We have to find the solution of given initial value problem.

Q: Let T6 (x): be the Taylor polynomial of degree 6 of the function f(x) = cos(x) at a = 0. Suppose you…

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Q: Consider the following two ordered bases of R³: {(-2, –1, 1), (2, 2, –1), (3, 3, –2)}, {(-2,1, 1),…

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Q: 1. Obtain the PCNF and PDNF of the following proposition: (p – (q ar)) ^ (~p → (~q ^ ~r)) without…

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Q: Use Disk Method only Find the volumes of the solids generated by revolving the regions bounded by…

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Q: 7. What is the value of z? 85° 64° 90°

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Q: Find the solution to the linear of differential equations 42x + 120y system satisfying the — 15х —…

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Q: The Koch snowflake fractal. Define a sequence of shapes as follows. B. K(1) is an equilateral…

A: The koch snowflake fractal. The sequence of shapes is defined as: K(1) is an equilateral triangle,…

Q: Suppose C=D0, so that 23 24y 5x3 = 0. Find all points (x,y) at which the tangent line to the…

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Q: Find the area of the shaded region shown in the graph. Ay y = 27 sin x 27 y= 27 cos x

A: Solution :-

Q: (b) Use the method of complementary functions and particular solutions, to determine the general…

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Q: Consider the following statement "There exists a fish at every pond " Which of the following…

A: We know that There exist x such that A(x) it's negation is For every x, not A(x)

Q: . For the following items, consider the function f(x, y) = 9x² + 16y² %3D А. Determine the domain…

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Q: 1. Find the Fourier Series coefficients representation of if -T < x < 0 f(x) TT – x if 0 < x< T…

A: Given data  f(x)=x           if   -π&lt;x&lt;0 π-x    if       0&lt;x&lt;π

Q: In a cubic spline approximation assume that we know that S;(x) = 4 – 5x+ 2x² + 3x³ Si+1(x) = a + bx…

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Q: Consider a sequence (x, n E N) with x 2 0 for all n EN. Prove that if lim (-1)"xn exists, then lim…

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Q: 3. Let n > 1 be an integer, and J(p) is defined by For each 0 <i <n+1, define p¡ : R → R by p:(x) =…

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Q: Jse the ratio test to determine if the series converges or diverges. E nle-4n n-1 O Diverges…

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Q: Find the payment necessary to amortize a 12% loan of $1700 compounded quarterly, with 8 quarterly…

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Q: 5 5 Interval: 0 <x<3

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Q: 1 liter of paint that costs 200.00 pesos can cover 13.33 square meters, exactly how much will be…

A: Given  1 liter paint cost 200.00 pesos  1 liter paint can cover 13.33 square meters

Q: х — у 3. fx, y, г) y? + z? а. f(3, —1, 2) b. с. d. f(2, 2, 100)

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Q: Use Lagrange Multipliers to solve the following: Maximize f(x, y, z) = 4x + 2y + z %3D subject to 2²…

A: Here the number of constraints is one that is g(x,y,z)=x^2+y+z^2-1=0, and the objective function is…

Q: 7. The cost per computer produced at a factory depends on how many computers the factory produces in…

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Q: 1 Let f(x) = (x – 1)², g(x) = 1 – x², h(x) = 2(x + 3)² – 8, find for each function a) x- and y-…

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Q: en f(x)= 3x - 7x+2. %3D

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Q: 2n j3 lim - 24n n00 j=1

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Q: 3. бу?dx — x(2х3 + у)dy %3D 0

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Q: Го 4 0. -2 3 5 1 0 1 1 1 -1 2.

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Q: 4. Arki Ramos recorded the following times assembling a watch. Determine (a) the average time, (b)…

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Q: Some people planning a party checked on wings prices. They found that the chain charged 26% less…

A: Given, Chain charge 26% less then their preferred place. Chain charge $32 for 90 wings.

Q: Determine if the following series converges or diverges 3 E (1 - n=1

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Q: Alex is planning to buy a franchise from Home Deco to sell decorations for the home. The table below…

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Q: a) Determine the intersection points. b) Draw a sketch of the graph. c) Find the volume of the solid…

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Q: QUESTION 1 If s is a dlosed, piecewise-smooth, orientable surface, which of the following…

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Q: Let T6 (x): be the Taylor polynomial of degree 6 of the function f(x) = cos(x) at a = 0. Suppose you…

A: Let   ∑n=0∞anbe an alternating Series   ,  ,  and  then we know that  for some s∈R (the series is…

Q: Approximate the area under the curve f(x) on the closed interval [1, 3] with 5 circumscribed regular…

A: Area of the graph using trepizodal rule for n=5

Q: Use the Comparison Test or Limit Comparison Test to determine whether the following series…

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