In the complex number 3 + 4i, the absolute value is: А. 3 В. 4 С.5 D. 6

Q: A mass of 1 kg is attached to a spring and a damper, set in motion, and observed to move as x(t) = 3...

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Q: If x is even and y is odd, show that (x + y)? is odd.

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Q: A contractor buys 14 yd of nylon carpet and 18 yd of wool carpet for $1662. A second purchase, at th...

A: We have to find the cost per yard of the wool carpet. 

Q: (Б) Show that 1 11 %D k(k + 2)(k +4) k=1 4 96*

A: We have to show ∑k=1∞1kk+2k+4 = 1196

Q: offered cooking classes 24 of the 30 days in November. What decimal is equivalent to the fraction of...

A: Introduction: The division is a basic arithmetic operation in which a larger number is divided into ...

Q: Decide whether the argument is valid or a fallacy, and give the form that applies. You'll love it, o...

A: Given  p-you 'll love it q-you 'll hate it  

Q: Suppose a box contains 4 red and 4 blue balls. A ball is selected at random and removed, without obs...

A: We have to use Bayes theorem  In Bayes Theorem we find the posterior probability using the condition...

Q: 8.) On a baseball diamond with 90-foot sides, the pitcher's mound is 60 feet 6 inches from home plat...

A: Given: Baseball diamond with 90 foot sides.

Q: Glven 2 state the con cauity and verify by analy 2ing the signs of the Eリ1] = 3-2.e secand denivativ...

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Q: OOO0 Question 2 Calculate: 1101o+1001te (Express your answer in base 2) Question 3 Calculate:

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Q: the general solution of the differential equation 2xy dx + (x^2 + 2) dy = 0

A: Given Differential equation is 2xydx + (x2 + 2)dy = 0

Q: 1.1. Compute the Fourier series for f(x): f(x) = {, - 2 <x<0 0<x<2

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Q: (x+ yel) dx – xe dy = 0, y(1) = 0

A: By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all ...

Q: Question 2. Prove that if AUB= A is true, then AN B = B is also true, AND CONVERSELY. Caution. There...

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Q: 5. For n E N, let fn:X → R such that o # X c R. If each fn is continuous on X but f:X → R is not, th...

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Q: Check the DE if it is exact or not. Solve it (if it is not exact use the method by using the integra...

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Q: . Express the following English sentence with predicate logic using Existential and/or Universal qua...

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Q: x2 + 4x + 4 x 1

A: We know the following facts, (1) A rational function P(x)Q(x) is discontinuous where denominator Q(x...

Q: Find the Laplace Transform of the following: 1. f(t) = 3u(t) + 8(t – 2) + 8(t – 5) – u(t – 7)

A: Given f(t) = 3u(t) + δ(t-2) + δ(t-5) - u(t-7) As we know L{δ(t-a)} = e-as  for  a &gt; 0L{u(t)} = 1s...

Q: Graph |x – 3| > 2 on the number line.

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Q: 4. Evaluate the determinant of the matrix by using a convenient column or row. (a) -1 3 0 0 1 0 3 1 ...

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Q: 8. Suppose that S = {v1,02, 03} is a set of linearly independent vectors in Rª. Answer the following...

A: NOTE: Since we are currently not providing any handwritten solution, the answer is given in computer...

Q: Let p: s is an integer, q: s² > s³. a) Write the following proposition in terms of p, q and logical ...

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Q: Let A be Sxó matrix. Knowing that Nullity (A) = 2. Then Rank(A) is equal to: * Non

A: Introduction: According to the rank-nullity theorem, Rank(A)+nullity(A)=number of columns in A Where...

Q: A company sells square carpets for $7 per square foot. It has a simplified manufacturing process for...

A: Given In a company Selling price of the square carpet per square foot = $7 it has simplified manufac...

Q: -2z 20 = i 20 = 2 - i 22 20 = 0 21

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Q: (-1)" (n + 1) Deteremine if the series is absolutely convergent or conditionaly convergent.. n3 +1

A: Given series is ∑n=1∞-1nn+1n3 + 1

Q: asider the following problem: Maximize Z = 4.x1 + 5x2 3.x3 (1) (2) subject to -xị X2 + 2х3 0, æ3 < ...

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Q: Eliminate all the constant in the equation and simplify your final answer. 1. Cx² + x + y = 0 2. y =...

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Q: -41 Find the adjoint matrix of ": A. -2 C. 4 21 -2 В. 4 B.) [2 4 D. 01 -1

A: Given matrix is 1-402

Q: ues of p will 3x(4x+3)=-p have non-real root

A: Given Equation 3x4x+3=-p The value of p is found such that the equation has a non-real root.    

Q: 1. FILL IN THE BLANKS Given 7 6 8 7 2 0 4 A = B 05 -3 determine whether ABBT + 2A is defined and com...

A: If A be a m×p matrix and B be a q×n matrix. Then the matrix product C=AB is defined if the number of...

Q: f(t) = t(VE³ + 1)²

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Q: P(A) = sup(P(F): FCA, F closed.) P is regular if all Borel sets are regular. Define C to be the coll...

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Q: Consider the functions f : A → B, g : B → A and h : B → A such that if gf =14 and fh = 1B. Prove (a)...

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Q: 13. Let F (x, y) = (1(²y²)x, af(x²y? , a(y²) Y) and suppose that C is a smooth curve parametrized a(...

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Q: Theorem 11. Let f be a continuous function on R such that f(x+y)-f(x)+fv) vx, yER. Show that f(x)3cx...

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Q: The following force of mortality is given: Hy = 0.02 + for 0 sys 100. 100-y' 200-y Find 10910.

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Q: 5. Consider the matrix -1 3 0 0 1 0 3 A = 1 (a) Find A-1, the inverse matrix of A by using your favo...

A: (a)       So substituting in equation (1), we get A-1=130310-631-51Therefore    A-1=0100-2113-5313

Q: b) Given a directed graph as follows. d b (i) Find the in-degree and out degree for all vertices. (i...

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Q: Solve the system -22 9. dx dt -54 23 with the initial value æ(0) = 5 -e^(-4t)-7e^(5t) æ(t) -2e^(-4t)...

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Q: B. Determine if the following mappings are linear transformations. Explain your answer.

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Q: Given the points T (5, 20°, 120°) to P (2, 80°, 30°): find the unit vector in cartesian coordinates ...

A: The relation between the Cartesian point (x,y,z) and spherical point (r,θ,ϕ) is x=rsinϕcosθ, y=rsinϕ...

Q: Use Meithemeıtical Incluctionn to prove that for ail W with nz 2 イナ·ナ 1 1t 2-3 1 t 3-4 0-1 1 2 (n-1)...

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

Q: p(1) 3. Let T : P3 → R³ be defined by T (p(x)) = p(2) p(3) Show that T is a linear transfor- mation,...

A:  First we show that T is a linear transformation. We know that  if U and V are vector spaces over th...

Q: If X is normal random variable with mean 3 and variance 5, then find the probability P(2 < X <6).

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Q: Dtind the area of the region between the curre y= 9+15X –6x? and the siraRes

A: The given curve is: y=9+15x-6x2    ............(1)We have to find the area bounded by the region bet...

Q: 3D- %3D(3,1,5) and v=(2,-3,1).

A: Given,        u=(3, 1, 5), and v=(2, -3, 1)  

Q: class ify the PDE byperbolicelliphic of pau(aloolice

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Q: If F is a function and dom(F) is a set, then F is a set. Hint. Prove first that ran(F) is a set.

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