A. Directions: Determine whether the objects represent point, line or plane. 1. edge of beam of a building 2. surface of the page of a notebook 3. string on a guitar 4. ceiling of a room 5. ray of light

Q: (a) log, 10 - log, 7 = log, (b) log, 11 + log,U- log, 77 (c) log, 25 2 logs

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Q: A) Write the negation of the statement: " If 2 is prime then 2 + 4 > 10 B) Determine the type of the…

A: The negation of the statement “if 2 is prime then 2+4>10” is “if 2 is prime then 2+4≤10.

Q: Most of the exercises are to provide proofs and illustrations in Euclidean Geometry. Most of these…

A: It is given that Given a triangle with midpoint

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Q: 27. Payton ran l miles on Monday, 2 miles on 7. miles on Wednesday. What is the 8. Tuesday, and 1-…

A: topic -median of distance median is the value in the middle when data is arranged in ascending or…

Q: The percentage of titanium in an alloy used in aerospace castings is measured in 51 randomly…

A: given data   sample size(n) = 51 sample standard deviation(s)  =0.43construct 95 % ci for σ.

Q: 5. Use polar coordinates to find each limit : x³ + y³ lim (x,y) →(0,0) x² + y² (a) (b) lim (x,y) →…

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Q: Use the formula In(1+x)= Error = r- |1n 2²/7 - n=1 (-1)^-1x n -*2²2 +²³-*+ =X- and your knowledge of…

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Q: reason. This one is actually just an algebraic manipulation. Proposition 94: Proportion Lemma AD AE…

A: We prove it by  using the fact that AB=AD+DB and AC= AE+EC

Q: Using the Poisson formula, find the following probability. A P(x 1) for λ = 3 Round your answer to…

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Q: Srj(Φ)\ 'A, B, C S U vO € Fnc(A,B)| vý € Fnc(B,C)| v5 € Fnc(C, A)|A Srj()) → (A = B = C) \Srj(})/

A: Given: ∀A,B,C⊆u∀ϕ∈FncA,B∀ϕ∈FncB,C∀ϕ∈FncC,ASrjϕ∧Srjψ∧Srjξ→A≃B≃C

Q: = Let fn be the nth Fibonacci number (so fo = 0, fi 1, and fn fn-1 + fn-2 for n ≥ 2). Find (with…

A: Let be the -th Fibonacci number where  and  for .To find an upper and lower bound for the sequence…

Q: Question 6 tan What is the exact value of 12 Show your work

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Q: 2. Consider the plane determined by the three points (3,−1, 2), (8, 2, 4) and (−1, −2, —3). (a) Find…

A: Given: Three Points P=(3,-1,2),Q=(8,2,4) and R=(-1,-2,-3) PQ = <5, 3, 2> PR = <-4, -1,…

Q: Find recursive definitions and closed formulas for the arithmetic sequences below. Assume the first…

A: Given,2,5,8,11,14Here a0=2d=a1-a0d=5-2d=3we know that ,an=a0+(n-1)dan=2+(n-1)3an=2+3n-3an=3n-1

Q: Problem 2: Find an ODE of the form + P(x)y = Q(x); y(0) = a (i.e., find P(x), Q(x) and a) whose dx…

A: The solution to the ODE is: y=2sinx-cosx+2e-x......(1) At x = 0, y = a, so…

Q: Match the homeomorphic figures. ....F Prove or disprove the following: FA and R are pathwise…

A: Given:- (a)Homeomorphic figures     △.................. F  T.................. 0∞...................…

Q: Given the description, write the quadratic FUNction. 3) The graph of x shifted to the left 11 and up…

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Q: Service time for a customer coming through a checkout counter in a retail store is a random variable…

A: Solution σ1=σ2=0.5μ1=μ2=3.5n1=21n2=28

Q: Use the appropriate three-point formula, to estimate f'(1.3) for the following table. 1.1 1.2 1.3…

A: Given,

Q: Consider a function 9 q (x) = (x – 3) 2 defined for x > 3. Find the expression for the remainder…

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Q: Solve the following autonomous differential equation with the given initial condition. dy dx - 0.4y,…

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Q: Find f, and f, and evaluate each at the given point. y' f(x, y) ), (8, -8) = arctan fx(x, y) = f,(x,…

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Q: Which ordered pairs should be removed to make the graph a function?

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Q: 3. What is the similarity ratio from figure A to B? simplify your answer. 10 B 18 7.2 15

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Q: Let (rn) be a bounded sequence of real numbers from [1/10, ∞) (that is, each entry rn is ≥ 1/10),…

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Q: ost function is given. C(q) - 3900 + 69 -0.01q2 +0.0003q³ (a) Find the average cost and marginal…

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Q: 7. Give two reasonable estimates (within an error of 10) for 1270 ÷3.

A: The given expression is: 1270÷3 Since, 1270 is not divisible by 3. Thus using reasonable estimates.

Q: Find a fundamental matrix of the following system, and then apply x(t)=(1)(0) ¹x, to find a solution…

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Q: Proilem 2 Let V,w E R' be any two veitors. Write aut. I ūxW ľ in component form, assuming and show…

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Q: Most of the exercises are to provide proofs and illustrations in Euclidean Geometry. Most of these…

A: A relation is equivalence if it is reflexive , symmetric and transitive. here, we have to show that…

Q: 7х + 9

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Q: Consider a sequence so that an = the entries a₁, a2,..., a1000 are exactly 1 1 1 (-1)" n 1 1000…

A: As per the question we are given a sequence {an} such that : an  = (-1)n/n  for  n ≥ 1000 And a1 ,…