How do you know if a number is divisible by the following numbers? Write the rule and give an example. Number 2 3 5 9 10 Rule

Q: Solve the given differential equation. xy(4) + 7y¹ = 0 7y"" y(x) = || X

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Q: het V= Spain gaib, eg a s 2 ty + b b) 75 V whole space a O H n a) write down a matrix A such that…

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Q: Utt-c²Uzz = 0 (d)u(0, t) = 0, u₂(1, t) = cos(t) (u(r,0) = u₂(x,0) = 0 if 0≤x≤ 1,t> 0

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Q: 3. Prove that if fog is injective, then g is injective.

A: Injective Function:          A function f : X →Y is said to be injective ( or one-to-one) if, for…

Q: Compute Legendre Symbol ( 357 ) 151

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Q: If G is a commutative group having a composition series then G is finite.

A: Let G is a commutative group having a composition series. We need to show that G is finite. Abelian…

Q: Suzette ran and biked for a total of 34 mi in 3.5 h. Her average running speed was 6 mph and her…

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Q: : Let X and Y be independent exponential random variables with the same parameter 1. Define: min…

A: It is given that X and Y be independent exponential random variables with the same parameter λ. Let…

Q: Discuss the existence and uniqueness of a solution to the differential equation (3+1²) y' +ty' - y =…

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Q: determine which of the following formulae are true (in your answer include an expres- sion of the…

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Q: How many grams of sodium fluoride should be added to 100,000 liters of drinking water containing 0.6…

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Q: Given F(r, s, t) = r (4t² - 2s¹), compute: Frst =

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Q: What is the first (rightmost) digit in the base 7 expansion of the base 10 number74?

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Q: Let A = 2 1 7 0 16 11 1 1 4 1 7 0 11 8 41 4 85 3 6 4 22 2 46 0 Two common online systems give…

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Q: 2. Construct (with arrows) a bijective function f from {1, 2, 3, 4, 5} to 1, 2, 3, 4, 5} satisfying…

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Q: Which of the following subsets of R 3 are actually subspaces?(a) The plane of vectors (b1, b2, b3 )…

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for…

Q: 3. Prove that (B\A) U (C\A) = (BUC)\A using: (a) a containment proof. (b) using set builder notation…

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Q: on 14.6 4 K Find parametric equations for the line tangent to the curve of intersection of the…

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Q: Example. Solve the system by Gauss (No solution) X y + 2z -3x 2y 2x + 3y Z Z 4 -7 4

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Q: A map of a park is shown with bridges connecting islands in a river to the banks. d. Represent the…

A: Refer to the figure of park in the textbook for the problem 23. a. Let each land area be represented…

Q: Use a truth table to determine whether the two statements are equivalent. (r^ q) v p and r ^ (q V p)

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Q: 3 2. Determine the values of x for which the following function is continuous: y=- x² + 4x Find its…

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Q: 7. Let A be a square matrix of order 4 and det A = 8. Let A be a square matrix of order 7 and 8.…

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Q: Use linear approximation, i.e. the tangent line, to approximate Let f(x) = X 1 0.501 and find the…

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Q: 2) The graph of the function y = f(x) is shown below. Use the facts that F' = f and F(0) = 1 answer…

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Q: H.W: Solve the following equations... 5 3. Begynn **********

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Q: Evaluate the factorial expression. 11! (11-3)! 11! (11-3)!

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Q: A particle moves along the x-axis so that its velocity at time 0 < t < 18 is given by v(t), whose…

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Q: Consider the polynomial P(x) = 4x6 - 4x5 + 11x¹ - 7x³ +5x² + 2x (a) Use the Rational Root Theorem to…

A: Rational Root Theorem:- A rational root of a polynomial  Px = an xn + an-1 xn-1+……+a0 is of the form…

Q: Consider the polynomial P(x) = 4x² + 5x³ − 2x² + 5x – 6. 5 (c) Show that if z is a complex number…

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Q: The fictional map below shows the boundaries of countries on a rectangular continent. a. Represent…

A: Consider the following fictional map of the countries of a continent First draw a vertex in each…

Q: Algebra 2/Precalc W4DI: Homework Period: Drug Filtering Directions: As always show all your work.…

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Q: Let A = 1 -1 -S 1 -S 1 S 1 Study how the nullspace of A, denoted Nul A depends on the parameter s.…

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Q: Explain how to find n!, where n is a positive integer. Choose the correct answer below. C O A. n!…

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Q: A. Using the definition of limit, show that limn→∞ 1 / n5 = 0 and that limn→∞ 1 / n1/5 = 0.

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

Q: Exercise. Solve the system by Gauss 2x + 5y + 4z = 4, x + 4y + 3z = 1, x - 3y - 2z = 5,

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Q: One copying machine produces copies at twice the constant rate of another machine. If the more…

A: It is given that one copying machine produces copies at twice the constant rate of another machine…

Q: A homogeneous function is one such that f(tx, ty) = tª f(x, y) for some a. Differential equations…

A: The separable form of a differential equation is fx dx + gy dy = 0 We know that a function f(x,y) is…

Q: Show that Q(√2, √3) = Q(√2 + √3).

A: We have to prove that Q(√2, √3) = Q(√2 + √3).

Q: The graph shows the level curves of a function f(x, y) = 6x² + 6y² and a constraint function g(x,…

A: Given: The above graph shows the level curves of a function f(x, y)=6x2+6y2. And the constraint…

Q: T: R³ R³ be the linear transformation that projects u onto v=(2,-1,1). Find T(x, y, z) Find A, the…

A: Linear transformation and associated matrix

Q: Given u(x, t) = teu, compute: UII

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Q: The following is a table showing the results of a poll taken on campus.  Will You Vote in the…

A: If the student is randomly selected, then the sample space contains (19+27+20+18+24+30) = 128…

Q: Is there any other method you can use besides this one ?

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Q: QUESTION 1 Let P(n) be the statement 1³ +2³ +3³ +...+n³ n² (n+1)² +4 4 (a) Use P(k) to show P(x +…

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Q: THe instantaneous rate of change of the value of a certain investment (P）is proportional to its…

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Q: A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles…

A: Given a trough is 12 feet long and 3 feet across the top (see figure of the question). Its ends are…

Q: Consider solving Ax = b. we have two approximate solutions computed solution (x).. and error vector…

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Q: By about how much will f(x,y,z) = In √√x² + y² +z² change if the point P(x,y,z) moves from Po(4,1,3)…

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Q: Show that for any nontrivial ideal I of Z[i], Z[i]/I is finite.

A: We know that ℤi is a ring of Gaussian integers which is given as follows. ℤi=a+bi/a, b∈ℤ Suppose I…