Suppose f(x) is a degree-2 polynomial. How many solutions x are there to f(x) = 0 (mod 31 - 89) such that 0 < x < 31 · 89?

Q: A18.1 (a) What is the inverse of M = (6)? Explain. 5. (b) What is the inverse of N = ( )? Explain. 0...

A: Introduction: The triangular matrix is a square matrix. There are two different kinds of triangular ...

Q: Problem 65 Let Z be a subspace of a normed space X, and y E X. Let d = d(y, Z). Prove that there exi...

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Q: Using Euclid's Algorithm, what is a multiplicative inverse of 23 mod 75 and then solve 23x is congru...

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Q: Let Bn := [n, 00) CR for n = 1, 2, ... Let m be the Lebesgue measure on R. Then (Bn)n is a descendin...

A: The set Bn is defined as follows: Bn=[n, ∞)⊂ℝ, where n=1, 2, ⋯ Show that ∩n=1∞ Bn=∅.

Q: 1. Which of the following equations represents a quadratic function? A. y 3+2x? B. 2y2 + 3=x C. y 3x...

A: q-1 which of the following equations represents a quadratic function? A) y=3+2x2  B) 2y2+3=x C) y=3x...

Q: Solve the following initial value problems (a) +8y-9y-0 (0)-1 (b) +V-2y- 3t (0) -0 v(0) 1 %3D

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Q: x² + 10x + 10 2 on in the inter

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Q: 11. Prove metic them t of type

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Q: Consider the linear system 5x1 X2 + X3 = 2 2а1 + 822 — 2аз 8. x1 - 3x2 + 9x3 = 9 and let x0) be any ...

A: only statement 2 is correct Explanation is given below:

Q: 6. Use the most accurate three-point formula to determine each missing entry in the following tables...

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Q: Let f € L'(0,1). Assume that f(t)t2"dt = 0 for all n f = 0 a.e. 1,2,3,.... Prove that %3D

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Q: Each point on a Cartesian plane is assigned a pair of coordinates called C. origin D. ordered pair A...

A: The given question is related with cartesian plane. We have to fill the statement:                  ...

Q: Which of the following relations is a partial order relation defined on A={1,2,3} O a. R = {(1.1),(1...

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Q: evaluate x tr20 +xt/2 /x+)=3, dekimnt the vahie of d: Bocs C3 x?+ Ax † 3y 0, have a sclution if yes ...

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Q: Suppose that y1 and y2 are distinct particular solutions to y" + p(t)y' + q(t)y = – sin(t). Which of...

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Q: Let u = (-1,3)and v = (1, -1), then proj,yu is:

A: Given, u=(-1, 3), and v=(1, -1),   then, projvu =

Q: の B* UI O O

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Q: Four years ago, Romeo was 6 times as

A: Given, Four years ago, Romeo was 6 times as old as his daughter. Six years ago, his age was 2 years ...

Q: Consider a linear transformation T from R? to R? for which * () --) (H)-- and T Find the matrix A of...

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

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Q: Which of the following is a binary operation if a and b are in S? a.a*b = ab+ b², S= set of negative...

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Q: 2. Find the in-degree and out-degree of the vertex d for the given directed multigraph in Fig.3. a) ...

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Q: In exercises 19 to 20. Construct a truth table for each compound statement. 19. ~p V q 20. [~ (p V q...

A: 19) Truth tabel of ~p∧q p q ~p ~p∧q T T F T T F F F F T T T F F T T

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: Prove that every odd integer is a difference of two squares. For example, 7 42 - 32. Give a direct p...

A: Here in this given problem we have to prove that every odd integer is a difference of two squares.

Q: y 21 2 8 -1 -7 -2 -24 Using polynomial interpolation of the data above, find: a. the degree b. the p...

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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: QUESTION 9 By using the principle of mathematical induction, prove that n (3n - 1) 1+4+7+.......+ (3...

A: We are only allowed to solve one question at a time so we will answer only the first question. Pleas...

Q: A18.3 Note that if A and B are two diagonal matrices then AB = BA. Give an example of 2 x 2 matrices...

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Q: 10. It is given that AABC ~ AEDF such that AB = 5 cm, AC=7 cm, DF = 15 cm and DE = 12 cm, then the %...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: The number 73 is prime. Enter an a such that 0 <a < 73 and a = 6 (mod 73), if such an a exists. Othe...

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Q: Apply Lagrange's equations, to show that the equations of motion of the double pendulum of Fig. 28-1...

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Q: nd your answers to two decimal places ear equations you want to graph from the drop down menu at the...

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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: For following equation Ax=b and show all the steps [1 2 41

A: # we are entitled to solve one question at a time , please resubmit the other question of you wish t...

Q: The number of ways to distribute 9 toys to 4 children is that: The youngest child receives 3 toys an...

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Q: a. Simplify the expression below, where u and v denote suitable positive numbers: logu" + logo - log...

A: Introduction: Properties of the logarithmic function. loga+logb=log(ab)loga-logb=logablogab=bloga

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: 1 Show that -(pv q) and -p A-q are logically equivalent. . Show that p → q and ¬p v g are logically ...

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Q: Open with Google Docs EXERCISE SET 2.2 8. Let A = (c, d, f,8), B = (f. j) , and C = (d, g} . Answer ...

A: We are entitled to solve only one question at a time. As the question number is not mentioned, so we...

Q: B_C* UI

A: Given A = {2, 3, 4, 5, 6, 7}, B = {2, 4, 7, 8}, C = {2, 4}. Fill in the blanks by ⊆ or ⊈ to make the...

Q: A full 3-ary tree with 9 leaves has____internal vertices. Answer:

A: We can use this formula to find the answer, i = (L-1)(m-1)

Q: Find the equation of the tangent line to the graph of the function f(x) =x² - Vx at the point (1,0)....

A: We know tangent is a line and the equation of a line is given by y-y0 = m(x-x0)

Q: During this time of pandemic, many lending institutions offer a loan package to wage earners. Suppos...

A: Introduction: Suppose, an amount P is borrowed from an institution at the rate of r% annual simple i...

Q: Solve the following system of equations y + x² –x = 0 x²+ 2xy+y = 0 Initial guesses Xo = 1, yo = 1 P...

A: Use the following formulae, to find the approximate solution of the non-linear system by the modifie...

Q: a) Find the arc length function s(t) for the line segment given by r(t) = (3 – 3t) i +4t j, Ost<1 b)...

A: Given that rt=3−3ti+4tj

Q: 9. Suppose that N(h) is an approximation to M for every h > 0 and that M = N (h) + K,h+ K,h? + K3h +...

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Q: Craig, Daniel and Edward shared an amount of money. Craig took 1/3 of the total amount of money. Dan...

A: Here total money they have is $ 360Since Craig took 13 of the total money so Craig has 13 × $360 = $...

Q: Which of the following sets is a universal set for the other four sets? O The set of even natural nu...

A: .

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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