Convert the following percents to decimal numbers: a. 10% 11 b. 10% 11 c. 100% 11 0.00 0.00 Question 1 of 6 0.00

Q: How many seconds are there in 7 weeks

A: We have to find how many seconds are there in 7 weeks.

Q: Prove that for any odd prime p and a, b = Z, ap+bP = 0 (mod p) ⇒ ap+bP = 0 (mod p²).

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Q: Prove the following statements by contradiction. Theorem. (a) There do not exist integers x and y…

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Q: Use variation of parameters to solve y" + y = tan(t). (Note: you might need to use the identity sin²…

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Q: Exercise 5. a) Suppose X is a Hausdorff space, and let Cn+1 C Cn CX be a non-increasing sequence of…

A: a) Given that X is a Hausdorff's space and Cn+1⊂Cn⊂X is a non increasing (constant or decreasing)…

Q: Evaluate the double integral D is bounded by y = x, y = x³, and x ≥ 0. J (x² + 8y) dA, where Answer:

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Q: sing forward low accuracy formula , find the second derivative of the function at x = 5 Using a step…

A: Equation is f(x)=- 4/10x4 - 99/100x3 - 661/1000x2 - 0.25x + 6h=0.25

Q: Give a proof for the statement. (h) For all integers x and y, x² – 4y ‡ 2. You can use the following…

A: It is given that x2-4y≠2 for all integers x and y. It can be written as, x2≠4y+2   ∀x,y∈I So, it…

Q: Consider the following premises: A killer is on the loose or vampires are real. Vampires are not…

A: Disjunction syllogism used

Q: Jsing only definition of divisibility, definition of modulo, substitution, and arithmetic, prove for…

A: a ≡ b (mod m), c ≡ d (mod m) ⇒ m | a – b and m | c – d ⇒ m | ((a – b) + (c – d)) ⇒ m | ((a + c) – (b…

Q: (c) Use vector methods to find the point P on the circle (x - 5)² + (y-4)² = 4 which is closest to…

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Q: Give the Dedekind cuts in ℝ ≥0 corresponding to the following. Your definition should not refer to…

A: We have to find Dedekind cuts in ℝ ≥0 for the following: (i) 6. (ii) 53. (iii) 2+5. As per policy,…

Q: Find the payment necessary to amortize a 4% loan of $1800 compounded quarterly, with 19 quarterly…

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Q: For the weighted voting system, {160: 100, 90, 60, 50, 10), D is a critical voter for {ABCD}…

A: A weighted voting system contains three things, the players, weights and the quota. Players are the…

Q: For the following matrix: a) find the eigenvalues and the eigenvectors b) check the answer by…

A: A=126-66122-6216∴A-λI=0⇒12-λ6-6612-λ2-6216-λ=0⇒…

Q: Use the Laplace Transform to solve the given initial value problem. y(4) - 4y = 0; y(0) = 1, y'(O) =…

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Q: The following "Theorem" is obviously not true. Explain what's wrong with the proof. Theorem: 1 is…

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Q: The number of foxes , in thousands, living within an urban area  t years after a given instant, can…

A: For a differential equation of the form: y'=f(x, y), the Runge-Kutta 4 method uses the following…

Q: Let A = {z € Z\z ≤ 2}, B = {z € Z]z ≥ 0}, and C = {−3,−1, 0, 3, 4}.

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Q: Find a basis for the given image of the linear transformation matrix, use the vectors from the set…

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Q: Question 4 In this problem we consider f(x)=√ near r= 16. (a) Find L(x), the linear approximation of…

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Q: The characteristic equation of a linear homogeneous recurrence relation of degree 7 with constant…

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Q: you make and explain how do you know tha is a

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Q: Let A= 3010 0401 000 0 100 - a) find det (A) b) find the inverse c) solve the system Ax= of (A) ONT

A: We know that,  A-1=adjAdetA

Q: The credit card with the transactions described on the right uses the average daily balance method…

A: Given data is

Q: Prove that F2 is a field.

A: Given: F2=0, 1 To prove: F2 is a field.

Q: Suppose that you borrow $13,000 for four years at 6% toward the purchase of a car. Find the monthly…

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Q: 5. Give the geometric interpretation of the rigid body motion represented by the matrix 0.449 -0.604…

A: Given: Rotational matrix-R=0.449-0.604-0.658-1.660.1640.78-0.6041.620.8780.1640.449-2.60001To find:…

Q: M-Method. Consider the following set of constraints. Develop the z-row after substituting out the…

A: Max Z =   2 x1 - 7 x2 subject to - 2 x1 + 3 x2 = 3   4 x1 + 5 x2 ≥ 10   6 x1 + 7 x2…

Q: solve CA of this separable differential equation: dCA/dt = (1/τ)(CAf−CA)−kCA

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Q: we have the following WFF of the quantificational calculus: ƎxƎy∀z (p(z) ∧ q(x,y) (r(w) ∧ ∀w…

A: Given: The following WFF of the quantificational calculus: ∃x∃y∀zpz∧qx,y↔rw∧∀wSw,y   To determine:…

Q: 2. Find the centroid of the area bounded by y = x³, x = 2 and the x- axis.

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Q: Express the given percentage as a reduced fraction and a decimal. 340% What is the reduced fraction…

A: Here we have to express the given percentage as a reduced fraction and a decimal .              340%

Q: b) Find U[-], በ +∞ +∞ (1-1), 1-7,1], and (i,∞). በ[1

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Q: The extremes of the diameter of a circumference are the points indicated below determine the…

A: The circle is the locus of the points such that the distance from a fixed point is constant. The…

Q: Use matrix inversion to solve the collection of systems of linear equations. (a) -x - 4y + 2z = -18…

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Q: Exercise 15. Let (f₁) be a sequence of function defined on R+by fo(x) = x X 2+ f(x) Study pointwise…

A: It is given that,  fn be a sequence of functions defined on ℝ+ by ;      f0(x) = x  and  fn+1(x) =…

Q: Det A= -3 and B= 2 determine the following a) det (AB) b) det (3B) c) det [(AB)^T] d) det (B^-1) e)…

A: We assume A and B are matrices of order n.  Now, Det(A) = -3           Det(B) = 2. (a) Det(AB) =…

Q: Convert the conic r = 1 5- 5 sin 0 to rectangular form. Hint: r=√√x² + y² and y=r sin

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Q: If every row of a 4 by 4 matrix contains the numbers 0, 1, 2, 3 in some order, can the matrix be…

A: We can try to construct that. If every row of a 4 by 4 matrix contains the numbers 0, 1, 2, 3 in…

Q: 1. Consider R³ with the dot product. Use the Gram-Schmidt process to transform the basis {(1,-1,-1),…

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Q: 1. Consider the production model x = Cx+d for an economy with two sectors, where =[0.6 and C = 0.5]…

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Q: onsider the following statements: P(x, y) = "³x = R such that Vy € R, x+y = 0” Q(x, y) = "Vx ≤R ³y =…

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Q: What is w3 in the sixth roots of (717.925 + 126.589i) O 3/301.67° 03/181.67° O 3/241.67° O 3/121.67°

A: The given complex number is 717.925+126.589i We have to find the ω3 in the sixth root of the complex…

Q: (1) Show that the function f(2)=z|z], where z=z+jy, is not analytic anywhere in the complex plane.

A: 1. The given function is fz=zz, where z=x+jy We have to show that fz is not analytic anywhere in the…

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT The extremes of the diameter of a circumference are the points…

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Q: 9. Let n be a positive integer. The coefficient of x³y5 in the expansion of (1 + xy + y²)n equals A.…

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Q: Given the parametric equations below, eliminate the parameter t to obtain a Cartesian equation. 0 <…

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Q: Prove that the set of numbers ℚ(√3) = { a + b√3 : a, b ∈ ℚ } is a field.

A: We have Q3=a+b3 : a, b∈Q. We have to show that Q3 is a field. A field is a commutative ring with…

Q: [8](6) Given @[ 0}{k find formulas for X, Y, Z in terms of A, B, C. You may make assumption about…

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