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Q: Prove that if p> 3 is a prime number, then 24 | (p2 - 1).

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Q: 2. xy' + (1 + x)y = e* sin 2x %3D

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Q: P = (A, 0, 0) P2 = (0, B,0) P3 = (0,0, C') a) Find the equation of the plane formed by the three poi...

A: a)  The general equation of the plane through the points  (x1,y1,z1), (x2,y2,z2) and (x3,y3,z3)is gi...

Q: Evaluate the following complex numbers. Express your answers in rectangular form and Euler form. Sho...

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Q: Find the values of the variables. Then find the lengths of the sides of each quadrilateral. 5. rhomb...

A: For a rhombus, the length of the sides are equal. For a parallelogram, the length of the sides are e...

Q: b) Discuss the continuity conditions of the function- f(x) which shown in figure at x= 0,x = 1,x= 2 ...

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Q: to the surface x 2 ^ 2A k. = i+

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Q: Find a continuous solution satisfying the given differential equation and the indicated initial cond...

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Q: PROPOSITION 3.2. A sequence (an) converges to a if and only if every subsequence of (an) also conver...

A: A sequence an converges to a if and only if every sub-sequence of an converges to a.

Q: Find the Fourier series of f (t) = t³ where t e [-4,4] and f(t + 8) = f(t).

A: Given function, f(t) = t3 where t∈-4,4 we have f(-t) = (-t)3 = -t3 = -f(t)So f(t) is an odd function...

Q: 1. Find the adjacency matrix of the graph below. a) 5. 3. 7

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Q: Some amount out of ₱7000.00 was lent at 6% per annum and the remaining at 4% per annum. If the total...

A: Some amount out of ₱7000.00 was lent at 6% per annum and the remaining at 4% per annum. If the total...

Q: f(x) = cos (7x) for –1/2 < x < 1/2. Let the function be defined by (a) Sketch f (x) on the interval ...

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Q: 4) Consider the following sequence: 1,5, 9, 13, 17,** a) Find a rule an for the sequence.

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Q: What is the general solution to the differential equation d/dx [dy/dx] =6x+3 ?

A: We have ,  ddxdydx = 6x + 3 d2ydx2  = 6x + 3 Let , dydx = y' d2ydx2 = y'' Therefore , given differen...

Q: Let l be an integer greater than 1, and let G be a finite group with no element of order l. Can ther...

A: Find the attachment for the solution.

Q: If matrix E and matrix A are shown as in the figure, then |EA| is  ... ?

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Q: Classify the tessellation as regular or irregular. Describe why it is regular or irregular. Identify...

A: A tessellation is a pattern in which geometric figures repeat without any gaps between them.

Q: Let fn be a sequence of functions that are uniformly continuous on a set S. Suppose that (fn) conver...

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Q: 1. If AABC = ADEF, for which value(s) of x will make the triangles congruent if AB = 2x- 3 and DE = ...

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Q: Determine the REF and RREF of the given matrix. pls show complete solutions

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Q: 1.0 -5 1,0 (Click on graph to enlarge) Increasing: help (intervals) Decreasing: help (intervals) Abs...

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Q: )= x' tan" -1 y X X

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Q: If 2 is one of the eigen vector of a matrix A = |1 ] A3x3 has three distinct eigen values then which...

A: INTRODUCTION: In linear algebra, eigenvalues are related to eigenvectors. In the analysis of linear ...

Q: A= 1 B = 1 C = 5 f (x) = cos (Tx) for -1/2 < x < 1/2. Let the function be defined by (a) Sketch f (x...

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Q: siny dx + (x - sin? y)dy=0

A: Here, we will differentiate  siny dx+x-sin2ydy=0....(1)

Q: Plot 1 Plot 2 2. y2=xsin(x) 2.

A: To sketch the graph of a function using MATLAB, "plot" command is used. To arrange the figures side ...

Q: Solve the following initial value problem over the interval from t 0 to t 2 where y(0) = 1. Display ...

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Q: y'-5y = xe" – xe*

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Q: Find the volume of the shaded region. When appropriate, use the T key on your calculator and round y...

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Q: 4:49 .ul 5G A docs.google.com 1. Find the area of the composite figure. Round to the nearest tenth. ...

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Q: Question 2. Consider the formulas (i) ((A→ B) → A) → A (ii) A → (B → (A – A)) where A and B are atom...

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Q: P = (A,0, 0) P2 = (0, B,0) P3 = (0,0, C) a) Find the equation of the plane formed by the three point...

A: The equation of a plane that passes through the points (p, 0, 0), 0, q, 0, 0, 0, r is defined as xp+...

Q: Math Expression (arithmetic) My Write commands to evaluate the following three mathematical expressi...

A: We will write each expression as a MATLAB command to get the required result.

Q: (b) Prove that the multiplicative inverse law is false for S. [That is, don't just write down a coun...

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Q: -) THREE VECTORS A, B, AND C ARE RELATED AS FOLLOWS ! A AT 180°, A +C =-5+j15, 2 C = CONJU GATE OF B...

A: Solution :-

Q: 26 5 X1 24 13 2 X2 25 11 7 32 X3 19 The value of a32 of the coefficient matrix A at the end of the f...

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Q: A cypress beam found in the tomb of Sneferu in Egypt contained 55% of the radioactive carbon-14 (C-1...

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Q: Complete the p+ (r- q) F (~b+ c) → (av ~ c) a C -bc av- c F

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Q: Find and evaluate an integral whose value is the volume of the solid inside a cylinder of radius 5 a...

A: Solution

Q: EXAMPLE 3 If f(x, y) = 3x2 + y does lim (x, y) - (0, 0) f(x, y) exist? SOLUTION Let's try to save so...

A: Introduction:   Assume f is a function of two variables, x and y, and that (a,b) is on the domain bo...

Q: Evaluate -p v (p v ~q) using the table below: p F F FFTT O FTFT Tautology Self-contradiction O TTTF ...

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Q: To submit Let S be the set S = {a+ bk :a,b € R}. where k is a formal symbol. Define addition and mul...

A: Given: S=a+bk : a, b∈ℝ addition and multiplication operations on S are defined as, For x, y∈S, x+y=(...

Q: Locate the critical points of the following function. Then use the Second Derivative Test to determi...

A: We have , f(x) = -2x3 - 6x2 + 9 We know critical points are points where function is defined and it'...

Q: (1) Let G be a group of order 94 = 2 x 47. Let Z(G), as usual, denote the center of G. (a) For each ...

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Q: d²y dy *+y=t?-2t +3 4. dt dt?

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Q: Find the Laplace transform of the following function. That is, determine coefficient F f (t) = 6e 5t...

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Q: 1. Show that if u = x – y, v = y, then for any continuous function f, -" f(r – y, y)dydæ e=s(u+v) f(...

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Q: Find the Laplace transform of the following function. That is, determine coefficient A f (t) = 6e-5t...

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Q: A rectangular plate 0.6 m wide and 1.2 m deep lies within a water body such that its plane is inclin...

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