J-J, f(x)--3, g : S → J, g(s) = nuniber of elements in the string 's', if is even. h : J-J, h(1)- r r if is odd - . where J denotes the set of integers and S denotes the set of all character strings. Calculate each of the following if they exist (if they do not exist explain why they do not exkt): (i) fo r (i) ho f(x), 8 marks) (ii) hofo g(test) J-J, f(x)--3, g :...
Let R be the relation defined on Z (integers): a R b iff a + b is even. Then the distinct equivalence classes are: Group of answer choices [1] = multiples of 3 [2] = multiples of 4 [0] = even integers and [1] = the odd integers all the integers None of the above
please answer all parts CORRECTLY. this is 1 complete problem w/ multiple parts. please do all . thank u for your help. For the quadratic function f(x) = 2x2 - x +5, answer parts (a) through (1) (a) Find the vertex and the axis of symmetry of the quadratic function, and determine whether the graph is concave up or concave down. The vertex is 0 (Simplify your answer. Type an ordered pair, using integers or fractions.) What is the equation...
Consider the set of integers Z with the metric da.y)-2supm e Nu (o): 2" divides (r-y) (a) Describe the open balls of radius 1 around the centres 0 and 1 (b) Let f : Z -R be defined as f()0 if is even and (x)1 f r is odd. Is f a continuous function from (Z, d) to R equipped with the standard metric? Himt: Use the criterion of continuity in terms of open sets
Please show all work and answer all parts of the question. Please do not repost the question and if you do please at least include the actual code and not the written answer that is incorrect to other posts. Consider the initial boundary value problem (IBVP) for the 1-D wave equation on a finite domain: y(0,t) 0, t > 0 t > 0 y(1,0) f(x) where f(x) =-sin ( 2 π-π (a) Plot the initial condition f(x) on the given...
Question 2 Determine if f(x) = 4x3 – 2x is even, odd, or neither? Insufficient Information O Neither Even Odd Question 3 Given that f(x) is one-to-one, and f(1) = 2. f(2)=5. f(5) = 0, and f(0) = 1. Determine (-10f-1)0). 5 2. O 1
Question 1 and 2 correspond. Please do question 1h and 2h only. Please show work. I. For each of the following mappings f: z →z, exhibit a right inv to mapping composition whenever one exists. a,f(x) = 2x c, f(x) = x + 2 b. f(x) 3x d. f(x)1 -x if x is even 1 if x is odd x if x is even if x is odd g, f(x) = 2x h. f(x) = x _ 1 j. f(x)...
please answer to all parts 4. In each case, determine whether W is a subspace of the F-vector space V. (a) F=Q, V =R2, and W = Z?. (b) F=R, V = RP, and W = {(x,y) ER?:zy >0}. (c) F=R, V = R', and W = {(x,y,z) € R3: x > 0, y > 0, 2 >0}. (d) F=R, V = C, and W = {(x, y, z) ECS:x + 2y + iz=0}. (e) F = Q, V =...
Let A = { n ∈ Z ∣ n ≡ 1 ( mod 2 ), then A is the set of Group of answer choices even integers odd integers Z∖{0} Z None of the above Q2 If A = { 1 } and B = { 2 }, then the power set, P ( A × B ) is Group of answer choices {ϕ,{A×B}} {ϕ,{1×2}} {ϕ,{(1,2)}} {ϕ,{A}×{B}} None of the above
true or false is zero. F 9. The plane tangent to the surface za the point (0,0, 3) is given by the equation 2x - 12y -z+3-0. 10. If f is a differentiable function and zf(x -y), then z +. T 11. If a unit vector u makes the angle of π/4 with the gradient ▽f(P), the directional derivative Duf(P) is equal to |Vf(P)I/2. F 12. There is a point on the hyperboloid 2 -y is parallel to the plane...