Konsider function f definad by the condition X> X-1 la)What is fundiion f domain? 1)/sit possible to define f so that it becomes a continoos function in the whole set of neal numbers ? sets C) Define initial image

Q: 2.2.8 Show that if a matrix is positive definite then it is invertible, and its inverse is also posi...

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Q: relation R on Z defined

A: Given, a relation R on Z defined by mRn ⇔ 7|(m − n) for all m, n ∈ Z.

Q: 2. The table below shows the number of pounds of each snack food eaten during the during NBA Finals....

A: Given table showing the number of pounds of snacks eaten is:

Q: Salvador's lunch cost $9.85, and he left a $2.00 tip. About how much more tha 15% of the bill did Sa...

A: Given that Salvador's lunch cost = $9.85 Tip amount = $2.00 To determine how much the amount more ...

Q: Nam Easy: 51 (Subtracting Mixed Numbers » 8 - 3 2) 5 - 1 %3D 3) 4윽- 2곡 유 - 6유 4) s 6를-1층 = 이 7층-3등 %...

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Q: The number of pages (p) that Ethan reads varies directly as the number of hours (t) he is reading. A...

A: Given: The number of pages (p) varies directly as the number of hours (t). Also, Ethan can read 21 p...

Q: -4 5 3 5 Find the product of -3 4 1 5 0 3 -5 -14 -3 -19 22 -15 18 -6 -10 -20 10 -16 18 -24 ] -5 -10 ...

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Q: y (x°y³ + 2x² – y) dæ + x³ (wy³ – 2) dy = 0| -

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Q: Find the coefficient of x' in the expansion of: (а) (1 — г) -4г3 (c) x (1+ x* (b) (1 — г)-2т8 (d) (1...

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Q: Solve the given differential equation by separation of variables. xy + 6y-x6 dy xy - 7y + x - 7

A: Given dydx = xy + 6y - x - 6xy - 7y + x - 7

Q: 1) Let B = be an orthogonal basis, y= and let W = span(B). %3D A) Calculate the orthogonal projectio...

A: The complete solutions are given below

Q: Which of the following function is harmonic in the C- (0}: Re (z²) None of them cOS Z Re ( ez

A: We have to find harmonic function from given functions.

Q: 4. Solve the initial value problem. a) y" + y = cos(x); y(0) = 1, y'(0) = -1 p) y" – 2y' + 2y = x + ...

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Q: 1. Convert from a rectangular equation to a polar equation. X-y= 10

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Q: What is the type of the following function: f(x) = x+5 where the domain is Z and the codomain is R O...

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Q: Determine the function f(t) whose graph is as follows, where u(t) is the unit step function Caka Hea...

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Q: 2.를 x2를

A: 2. To solve 13×235 first change the mixed fraction to improper fraction 13×235=13×135

Q: he solution of + 4y = 0

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Q: (a) Write out the the general expression for the Taylor series expansion of f(x) about the point x =...

A: Since there are multiple question, we will answer the first two. Post the question again and mention...

Q: 3) If dla + b, then dla or d\b. a) True b) False D a) True O b) False

A: 3 We have to check whether the given statement, "If d|a+b then d|a or d|b" is true or false. Counter...

Q: 3 Let matrix A = 1 12 (a) Find elementary matrices E,,.., E, such that E,E, A= 1. Write your answer ...

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Q: 1. Find the magnitude and direction of the resultant. y 200 KN 40 30° 150 kN USING: a.) Analytical M...

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Q: Given y = 3x + 7, what is f(-2)

A: The given function is y=3x+7 it can be written as f(x)=3x+7 to find the value of f(-2) substitute x=...

Q: Q2. Consider the function xy+ x'y-xy a. Find the critical points of f(x,y) b. Write the Hessian matr...

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Q: The perimeter of a square field is the same as that of a rectangular field. If the length of the rec...

A: First we have to find the side of the square. The we can find the area of the square. Let the side o...

Q: In a mechanical system, acceleration a , velocity v, and distance S, are related by the simultaneous...

A: Given equations are 3.4a - 13.2s + 7v = -11.39   →(1)-6a + 3.5s + 4v = 4.98        →(2)2.7a + 7.1s +...

Q: Find the area of the region enclosed by the curves: y = e2", y = et", æ = 1

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Q: et l2 be the same region as in part (2). Write this region in the form 12 = {(z, y) : e<ysd: a(y) SI...

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Q: Use Euler diagram to determine whether the conclusion is valid or not based on the given assumptions...

A: First to understand the problem we will draw the Euler diagram: Now we have two options to visualiz...

Q: If U = {1, 3, 5, 7, 9, 11, 13}, then which of the following are subsets of U. * B = {2, 4} A = {0} C...

A: Given are some sets. We have to check if those are subsets of the Set U.

Q: Prove: If ū and v are linearly independent, also au + bü = cũ + dủ, then a=c and b=d. %3D

A: Introduction: Two vectors u and v are linearly independent, if there exist two scalars such that, au...

Q: In a mechanical system, acceleration a, velocity v, and distance S, are related by the simultaneous ...

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Q: Consider the linear system 5¤1 X2 + x3 = 2 221 + 8г2 — 2аз = 8 T1 — З22 + 9хҙ — 9 and let x0) be any...

A: The given system of linear equations are as follow: 5x1-x2+x3=22x1+8x2-2x3=8x1-3x2+9x3=9 Now, we can...

Q: Using modular arithmetic and Fermats Little Theorem, what is the remainder of (x-1)! when divided by...

A: Let ,  x  be prime. We need to find remainder of  x - 1! when divided by x. Since we know ,   x - 1!...

Q: Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate int...

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Q: Question X: The expression 2x2 + 11 is prime for all integers x with 1) 0 < x < 10 2) 0<x< 11 3) 0<x...

A: Given expression is 2x2+11. We have to find the all integers for which expression 2x2+11 is prime. A...

Q: Q.2) Find the orthogonal trajectories of the family of curves e*(x sin y– y cos y) = c

A: 2 Given family of curves is e−xxsiny−ycosy=c. We have to find the orthogonal trajectories of the giv...

Q: The sum of three numbers is 87 , third numbers 9 more than the first . Second number 4 times as many...

A: Given- The sum of three numbers is 87, third numbers 9 more than the first. Second number 4 times as...

Q: 1. Determine the maximum value for the objective function, Z = 5r+2y, subject to the following const...

A: q-1 find the maximum value of objective function Z=5x+2y subject to 2x+y≤50x+2y≥405x-y≤0y&gt;0

Q: craig earns the same amount of money each month. his telephone bill is 1/20 of his monthly earnings,...

A: Let us take the amount Craig earns each month as x. 

Q: Find the Laplace Transform 1.f(t)=(sint-cost)?

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Q: Simplify (-V3+ i)*. 8e2i 5e-0.7i Determine the quotient of in polar form. O-8 – 12. 856 i 1. 6838e О...

A: (1) -3 + i4 = (-32 + i2 - 23i )2                   = 2 - 23i2                  = 4 - 12 - 83i      ...

Q: 5. Find the eigenvalues of the matrix A 4 A = -5 2 -3

A: Disclaimer: As the handwritten solution is not currently provided on this platform, the answer is gi...

Q: Multiple Choice O (XEZIX<3=[xeZIx#1) O KEZIX<x3=(XEZIX#0) (XEZIX<x=(XEZIX#0^x#1) (XEZIX<=(XEZIX#0v x...

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Q: Taneen has a savings account with a balance of $50,000. Find the balance after 10 years with a simpl...

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Q: Determine a region of the xy-plane for which the given differential equation would have a unique sol...

A: We will use the given differential equation to give the region in which the given ODE has a unique s...

Q: Obtain a directional field for the given differential equation. Sketch an approximate solution curve...

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Q: Given f(x) = 2x – 5 & g(x) = 3x + 4. solve for fea(r) - %3D

A: if f : A → B and g : C → Dthen f∘g(x) is defined if D ⊆ A and f ∘ g : C  → B 

Q: Solve for a root/roots of the functions 2. x2 – 3 sin x + 2 In(x + 1) = 3. 5 Applying both a. Bisect...

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Q: Let T : R? → R² be the linear transformation that first reflects points through the x-axis and then ...

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