Let x, y ∈ Z. Prove that x − y is even if and only x and y are of the same parity.

Q: 2 sin z = 4+51

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Q: Let S be a 2D subspace of R. Find projs if projs =

A: Let S is a 2D subspace of ℝ3 projs<2,-1,1>=<0.5,0.5,1> So consider the 2-D plane given b...

Q: 4whole1/4-2whole3/5

A: This is question of calculation on fractions. Solution is given below.

Q: P(x1, x2) = x1X2, Q(x1,x2) = –2x102; D = {(x1,x2) :1 < x1 < 2,0 < x2 < 3}. %3D

A: Since you have asked multiple question , we will solve the first question for you. If you want any s...

Q: A soccer ball manufacturer is planning to expand its workforce. It estimates that the number of socc...

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Q: dx -= In[F(x)]+C. What is F(/3) if C = 0? For (x+x³) (x Tan-lx+1) A + - B 6. + 3 D + 6 + -15 -15 -15

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Q: At 4:00 pm, cookies at a temperature of 55.8°F were placed in an oven at 321.1°F. At 4:02 pm, the co...

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Q: Associative law for multiplication of complex number ( z1 z2 ) z3 = z1 ( z2 z3 )

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Q: Find the solution of the following system of equations by inverse using Gauss-Jordan and inverse usi...

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Q: 1 Consider the series >) 2 n(1+ ln? n) n=1

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Q: 2. A steel girder 27 feet long is to be moved on rollers along a passageway 8 feet in width and into...

A: Given: A steel girder 27 feet long is to be moved on rollers along a passageway 8 feet in width and ...

Q: Problem 9. In the following linear system, determine all values of a ER for which the resulting line...

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Q: 1. Graph the following set on a number line and express the set in interval notation. {x\x s -2} -10...

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Q: dx For = In[F(x)]+C•What is f(/3) if C = 0? (x+x³) (x Tan-lx+ 1) -1 + - - 3. -1 + - + S-is-isS

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Q: 21. If f(x) = 2x - 1 an d gx) = 3x + 5, what is f(g(5))? 22. Graph the following equation. 4х - Зу -...

A: We have to find the value of f(g(x)). And sketch the graph of the equation 4x-3y=12.

Q: 3. Find the fourier series expansion of the periodic function f(r) = e", -n < r < T, 1 f (x + 27) = ...

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Q: S(2- sec2x) elmale sec³x sec(3A – x) e ln (xle) What should be the value of A for dr to be integrabl...

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Q: In a group of 500 students during vacation, 23% likes to go shopping only, 74% loves to stay at home...

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any sp...

Q: Find the vector component of y = 2i – j+ 3k along b = 2i + 3j + 6k and the vector component of v ort...

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Q: Suppose that f is a function such that f' (c) = 1 for some number c in the interval [a, b]. Is it po...

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Q: a) Find the length of the curve y(x) = x³/2 /3 – a/2, 3 sa<4.

A: Since you have posted a multiple question according to guildlines I will solve first question (a) fo...

Q: Question 33 Evaluate (~p q) -→~(rV ~q). O TTFFFFFT TTTEFFTT O TTFFFTTT O TTFFFFTT O TTTFFTTT O TTTTF...

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Q: The antiderivative of fx), denoted by Fx), exhibits an odd symmetry i.e., it satisfies the property ...

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Q: 5. Solve the following equation for x. (4x+ 18) = 3x +4 6. If f(x) = x? - 1 and gx) = 3x + 10, what ...

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Q: Ive by the method of variation of parameters (without using formulae): D°y + 2Dy + y = e* /r°.

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Q: Find (∂z)/(∂s) and (∂z)/(∂t), given: (a) z = x2 - 2y2 ; x = 3s + 2t, y = 3s - 2t

A: It is given that,            z = x2-2y2  ;  x = 3s+2t  ;   y = 3s-2t We have to find  ∂z∂s  and  ∂z∂...

Q: 1 Let an = n > 3. nInn (a) Show that the sequence {a,} is decreasing. (b) Without computing any limi...

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Q: A storage tank contains a liquid at depth y where y = 0 when the tank is half full. Liquid is withdr...

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Q: dx = In[F(x)]+C• What is f(/3) if C = 0? For (x+x³) (x Tan-!x+1) + - 3 3 -1 6.

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Q: - 5 3 tA= and B = {b1 , b2}, for b, = 1 and b2 = Define T: R?→R? by T(x) = Ax. - 3 1 Verify that b, ...

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Q: (2- sec?x) elm cale sec³x sec( 3A – x) cIn (ale) Nhat should be the value of A for -dx to be integra...

A: We will use options to find the answer .

Q: Find the local maxima, local minima, and saddle points of = f (x, y) = x² + y + 2xy Identify x,y,and...

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Q: 2y + 5z - 3w = 16 2x + 3y + 3z + 4w = 110 2x + 5y -3z + 4w = 74 -x+ 4y + 5z - 2w = 30

A: We will reduce the system in echelon form by using row operations.

Q: (xy2+x2)dy+ydx=0

A: As per the company rule, we are supposed to solve one problem. Therefore kindly repost the remaining...

Q: Which of the following is not the equivalent of the statement "All universities are institutions."? ...

A: We can solve this by using given information

Q: LOCATE THE NUMBERS 2, anD 2, VECTORIALI Y (SHOW YOUR ILLUSTRATION) AND USE THESE VECTORS TO FIND A.)...

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Q: Determine whether the given series is convergent or divergent. 5" + sin? n (a) 3n – | sin n| n=1 +oo...

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Q: Question Use a compass and stralghtedge to decide whether each set of lengths can form a triangle. 7...

A: Let us consider the sides of length a, b, c then the sides form a triangle if  a+b&gt;ca+c&gt;bb+c&g...

Q: 1. Which of the following is NOT a circuit in the graph? A B E Figure 1 А) СВЕС B) ABEA C) BCDCB D) ...

A: (1) First we have to know about a circuit in a graph. Circuit: A circuit is a path which ends at the...

Q: dy/(3x2) = (1 + y²)1.5 dx.

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Q: 2. Solve for the Fourier coefficients and determine the equivalent Fourier series expansion. The mat...

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Q: (2– sec?x) eln (xle) sec(3A – x) 'sec³x What should be the value of A for to be integrable using the...

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Q: 37. Which of the following accurately shows the constraint on the daily capacity for the third produ...

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Q: xY + x) dy + ydx = C = xy – 3y³ C = 3xy + y° О Option 1 Option 2 C = xy – 3y3 C = -3xy+ y

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Q: 1 Problem 2. For a nonsingular matrix A and nonzero scalar ß, show that (BA)- =A-. Problem 3. Prove ...

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Q: Hint: This follows easily from a certain string of inequalities; E 1-14 is relevant. *39. Suppose ƒ ...

A: We will use concepts of  Riemann integration 

Q: (+) 1. Let a, = sin- for n EN = {1, 2, 3, . }. sin n+1 (a) Determine if the sequence {an}=1 converge...

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Q: cosx - e sinx sinx +x +e The integral dr may be written as nsinx me rx +px + qe 1 C, where m, n, p, ...

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Q: (a) Lakarkan graf y = e=* dan y = x + 0.5 pada rajah yang sama. Sketch the graphs of y = e¬* and y =...

A: The equation in the form y=f(x) represents a curve in the plane. The point of intersection of the cu...

Q: 2. Let b, = cos and cn = cos for all n e N such that n > 2. Determine whether the given series conve...

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