Find the cardinal number for the following sets. A = {113, 114, 115, 116,..., 147} B = {113, 115, 117, ..., 363} n(A) = n(B) =

Q: determine the inverse Laplace transform of F.

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Q: 10. Determine whether the graphs G₁ and G₂ are isomorphic. (a) (b) d C G₁₂ d G₁₁ b b C 6€ 5 G₂ 2 4 2…

A: Answer :- A)Answer : Two graph are said to be isomorphic to each other  1. If they have the same no…

Q: Consider the differential equation y = y(3-y)(5 - y)². dentify all equilibrium solutions. Sketch the…

A: Given: Differential equation y'=y3-y5-y2. To Find : a) Identify the equilibrium solution. b) Sketch…

Q: (0,0) 20 15 -10 (2.20) (4,0) 10 a) State the x-intercept(s) b) State the y-intercept c) State the…

A: We have to find the answers from the given diagram.

Q: discrete math

A: We are given the logical expression       (p ∨ (q ∨ r)) ∨ s        ≡  (p ∨ t) ∨ s   [ by…

Q: Let F and G be vector fields such that F(0, 0, 0) = (1, 2, -1), F is irrotational, V x G (0,0,0) =…

A: Given that  F(0,0,0) = 1,2,-1 and F is irrotational.…

Q: Is the following statement true or false? When x is a real number, one way to prove that a ≤ 5 is to…

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Q: Give a two column proof of the deduction: ¬B, (¬A)⇒B, ∴A that does not use the contradiction rule.

A: We are given the premises are: B, (¬A)⇒B We have to prove that conclusion is A.

Q: Just make the linear programming model of the next exercise: A company manufactures and sells two…

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Q: The graph below is the function f(x) 5+ 4 3 2 01 -5 -4 -3 -2 -1 -1 -2 3 -4 -5+ 1 2 4 5 Determine…

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Q: A rectangular prism has a length of 10m, a height of 2m, and a width of 5m. What is its volume, in…

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Q: Consider the ODE: y'-x²y = x² a. Solve the ODE as a linear equation in y (Section 2.3). Answer in…

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Q: -12 12 2.0 -12 2,0 Find the formula for g in terms of f. g(x) = 12 -12 12 2,0 -12 2,0 12

A: We have given the graph of f(x) and h(x) . To find what transformation are needed to get g(x) from…

Q: Ans: Σ 1 sinh na Uxx + Uyy = 0, u(x,0) = 0, 0 < x < 1 u(x, 1) = 0, 0 < x < 1 u(0, y) = 0, 0 < y < 1…

A: This a   Dirichlet  problem for Laplace's equation  uxx+uyy=0 , 0&lt;x&lt;a , 0&lt;y&lt;b  comparing…

Q: P T T of q ? (q₁~p~ pV (g^~p) F ET F E Complete the truth tABLE

A: The aim is to complete the table for the given statement  p q ~p q∧~p ~p∨(q∧~p) T T…

Q: Solve the following initial value problem. -3²-6y +5, (0) = 3 €1

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Q: Find the critical point or points for the autonomous system x' = x - 2y, y' = 4x - x³. (Enter only…

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Q: Determine if the equation Ax=b is consistent for all possible b₁,b₂, and b3. If the equation is not…

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Q: orthogonal decomposition of the vector a = (5, 1, -3) with respect to b =(4, 4, 2) : Start by…

A: Projection of a onto b is  p=Projba=a.bb.bb we have a=5,1,-3b=4,4,2

Q: ==== 3y' - y + 6ety3/2 = 0, y(0) = 1/4.

A:

Q: Prove that if gcd(a , b)=1, then gcd(a+ b, a*b)=1.

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Q: 1. Identify a function that would have this domain and range D: {XER} R: {YER, y≤ 2} Equation:…

A: To identify the function which has  Domain in set of real numbers(x in R) and Range in R s.t Y is…

Q: Given the data points (2, 29.5), (5, 523), (7, 1807), and (11, 9853), find the value of f(x) if x =…

A: Given the data points is x y 2 29.5 5 523 7 1807 11 9853 To find the value of f(x) at…

Q: Evaluate. Write your answers as fractions. (-3) - 0 2 010 X Ś

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Q: Complete the description of the piecewise function graphed below. Use interval notation to indicate…

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Q: Proove the properties of the matrix exponential. Please be as clear as possible and use definitions…

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Q: 3. Luca and Maria are debating about how to evaluate the integral (tan (x))³ (sec (x))4 dx. • Luca…

A: Let the given integral is  I = ∫tanx3secx4dx    LUCA calculation :…

Q: -1 -1 -2 i). a. Describe how you can tell whether a given graph is the graph of a function. b.…

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Q: 1. Determine whether or not the expressions below are wff (well-formed formulae). Explain your…

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Q: a. Draw the Venn diagram for 4₁. Express in "expanded format": AU (B₁) = n(AUB₁).

A: We draw Venn diagram.

Q: To determine the effect their salespersons have on purchases, a department store polled 700 shoppers…

A: Solution:- A probability is the number of desired outcomes divided by the number of total outcomes.…

Q: Use seperation of variables to solve dy dr 2 3+y+y 9(1)=-3 at the first step, the solution is given…

A: The differential equation is defined as the equation which contains the dependent variable, the…

Q: Let E denote a bounded, nonvoid set of real numbers. Is the following characterization of inf E…

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Q: dx Create a slope field at the indicated points. 4

A: Given differential equation dydx=y-1

Q: (a) The following data represent the number of salespeople for a certain company for 6 consecutive…

A: Answer :- The given data here is arranged in a scatterplot in EXCEL. Using the TRENDLINE function,…

Q: determine the total area using A = L*W, what is the uncertainty on this ar Provide your answer with…

A: We know if z=xy then ∆zz=∆xx+∆yy We have A=LW L+∆L=5.60±0.38 mW+∆W=5.65±0.46 m

Q: 1. JoAnn Brandt decided to use an expensive, but effective, herbicide to kill weeds and brush on a…

A: 1. JoAnn Brandt decided to use an expensive, but effective, herbicide to kill weeds and brush on a…

Q: L-¹ { 2s²-5s+30 -s3-6s2 +11s-6-

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Q: Problem #3 - Show the following by use of a truth table. a) p AND q-> p is a tautology. b) p AND p'…

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Q: 1+3 over 5?

A: Answer: Giventhat:-  Findout  1+3 over 5 = ?

Q: (-9,-4) y= a Given the line and point above, state the equation of the line in the form y = mx +b.…

A: Answer:

Q: As the balloon inflates at 20 cubic inches per second, the diameter and radius are changing. Let's…

A: Given that a spherical balloon is being inflated at a constant rate of 20 cubic inches per second.…

Q: aphs 1. Describe each graph below. Explain how many vertices and how many edges it has, and if it is…

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Q: :Write a MATLAB script to the following instructions read a number n if n>0…

A: Answer :- n= input('Enter numbers: '); if n&gt;0   sum_1n=0; for i=1:1:n sum_1n=sum_1n+(1/i); end…

Q: Find f(g(z)), g(f(z)), and f(f(x)) and their domains for the given / and 9. f(z)-62-5. g(z).

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Q: Consider the function f(x) = (x + 5)² a. Find the domain and range of the function. b. Find the…

A: Given, function f(x) =  (x+5)2  (a) Definition of domain : The domain of a function is the set of…

Q: 591: 59 100: 0.0591: 5.91 x 10⁰ 5.91 x 104 5.91 x 102 5.91 x 10-4 5.91 x 10-2

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Q: Suppose E = { € R: x² + x ≤ 1}. Select the best answer. The supremum of E is a rational number but…

A: The given set E=x∈ℝ: x2+x≤1. We have to find the supremum of the set.

Q: 20. Use the definition of the derivative to find the derivative of the function f(x) =

A: We have to find the derivative of the function f(x)=20 by definition.

Q: X -1 0 1 2 Write the exponential equation that represents the situation Y 625 125 25 5 Scrooge…

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