the Buying a Car information above to answ stion. 5:11+--- ----1-

Q: (d) Let F be a subfield of a field E. Define what it means by an evaluation homomorphism. (e) Let F…

A: (d.) Given: F is a subfield of a field E. To define: An evaluation homomorphism.   (e.) Given: F=ℤ7…

Q: 3. For each of the following statements BY NG SA Write the statement as an English sentence that…

A: Here , we have to solve sub-part (f) of question 3.

Q: VEX2 9

A: Use the substitution and solve the integral easily.

Q: f(z) = Im z is continuous

A: Let us use the convergence criterion to prove that Im z is continuous. Let us assume that  znn=1∞ be…

Q: Let f(x, y) = g(x) + h(y) where g(x) and h(y) are positive. If g(xo) > g(x)and h(yo) > h(y) then…

A:

Q: Select the true statement about the equation's graph. 2. y = r+ 6x + 8 %3D O The vertex is at…

A: Given equation is y=x2+6x+8 So the vertex is: x =-b/(2a)= -6/(2×1)= -3   At x=-3, y= (-3)2+6(-3)+8 =…

Q: The amount of pollutants that are found in waterways near large cities is normally distributed with…

A: GivenMean(μ)=9.1standard deviation(σ)=1.7sample size(n)=35

Q: Verify the final value theorem of f(t) =1+et[sint + cost]. O- 1 1

A:

Q: Find the point of intersection of the lines given below. y = 3t-1, z = 5t-1, y = 4s + 2, Z = -2s +4,…

A:

Q: regional automobile dealership sent out fliers to prospective customers indicating that they had…

A: From the part b and c we get.

Q: If R is a closed region on the xy-plane andf is a continuous function on R, then f has a relative…

A: The given statement is True.

Q: Two similar-looking series are given. Test each one for convergence or divergence. 3" (a) E ω Σ (b)…

A: Two series are given as, ∑n=1∞1n+n! and ∑n=1∞1n+1n!. The objective is to check for the convergence…

Q: Consider the following functions. f₁(x) = x, f₂(x) = x², f3(x) = 6x - 2x² g(x) = C₁f₁(x) + C₂f₂(x) +…

A: Please refer to the solution in next step.

Q: = ( The U 3 is a unit vector in V13' V13 .(2, 3) the direction of

A: We know a unit vector in the direction of vector U→ is given by : U→=U^U^

Q: Suppose the age that children learn to walk is normally distributed with mean 11 months and standard…

A: As per the compony rule, We can answer only three subparts in a single question. Here, mention that…

Q: The population of bacteria in a culture grows at a rate proportional to the number of bacteria…

A: Let, be the population size of bacteria at time t.Then according to given information, ,where  is…

Q: Find a vector equation of the line through (3,4,6) that is perpendicular to the lines r₁ (t)=…

A:

Q: The director of student services at Oxnard College is interested in whether women are more likely to…

A: From the provided information,

Q: Given: " if n is an integer and 3n + 2 is even, then n is even" can be proven by both direct proof…

A: Given: " if n is an integer and 3n + 2 is even, then n is even" can be proven by both direct proof…

Q: Identify the type of sampling used (random, systematic, convenience, stratified, or cluster…

A:

Q: If u = and Vf (-2, 5) = 3u, then the minimum value of the directional derivative Dy f (-2, 5) is…

A: We will use concept of minimum value of Directional Derivative and its direction

Q: K has equation G(x, y) = 0, and G is differentiable and G and G,y are bo e point P (a, b) on K, then…

A: In this question we will use basic of calculus i.e concept of vector calculus. We will use concept…

Q: Fill in the P (X=x) values to give a legitimate probability distribution for the discrete random…

A: XP(X)-60.15-20.2800.261a3b

Q: he probability of getting food that is not from Restaurant A is

A: Since , the total number of orders are =340+39+261+52+235+40+127+15=1109 Also , the total number of…