EXAM 1 REVIEW 𝑥 𝑦 1 5 3 5 6 7 11 17 20 23 Could the above data be linear? If so, what’s the slope? If not, explain why. 𝑥 𝑦 1 5 3 5 6 7 20 11 17 20 23 ? If the above relationship is linear, what should correspond to 𝑥 = 20? 𝑥 𝑦 1 6 2 3 4 5 […]

1- TRUE OR FALSE QUESTIONS:For each of the following statements, determine whether it is TRUE or it is FALSE. Write your answer in the blank to the left of the statement. If the answer is FALSE, justify why. 4 __________ 1. 8 3 = 128 __________ 2.  1     27  __________ 3. __________ 4. 6 3 2 3 = 1 […]

1. Let G be a set along with a binary operation ◦ such that• ◦ is associative• There exists an element e in G such that e ◦ x = x for all x ∈ G• For each a ∈ G there exists an element a0in G such that a0 ◦ a = e.Show that G is a group. 2. Prove that Aut(Q) has a […]

total of 8 questions, please see the attachment 1. Let X be an octahedron, with faces colored black and white such that no twofaces which share an edge have the same color. Let G be the group of rotationalsymmetries of X.(i) Sketch X.(ii) Let v be a vertex of X. Find |Gv| and |G(v)|.(iii) Let e be an edge of X. Find |Ge| and |G(e)|.(iv) […]

Page1 > of 2 ZOOM + name date 1. Use the change of base formula to compute a. log4 11 b. 10 7 3 c. log4 11 d. log15 2. Solve for x. a. logx 343 = 3 b. logo x = 3 c. logs 625 = x d. logx 1000 = 3 3. Fill in the missing values a. log3 5 + log3 6 […]

In this discussion, forum please answer the followingquestions: 1) In the real world, functions are mathematical representations of input-output situations. Provide a real- world example of a function in your own words, then write the equation that represents that particular function? 2) Supposed that a friend of yours does not understand the idea of function and the importance of knowing how to analyze graphs of […]

Question 1 Simplify the following, using only positive exponents. Do not evaluate. QUESTION 2 For the following function, state: i. the domain and range ii. the y-intercept, and iii. the horizontal asymptote Question 3 A particular vehicle model depreciates in value by 9% every year. If the vehicle was worth $24 000 the day it was purchased, what will it be worth 5 years later? […]

Please write a report about the following: Research and report on a topic that relates to how a particular person or group of people use mathematics in their art, hobby, recreation, work or career life. Be specific. Be sure to state the person or group/ type of people you are writing about and give specific examples of how they use math. Make sure you describe […]

Consider the following.A-[-2] 1 5 8 (a) Compute the characteristic polynomial of A. det(A – 21) = x (b) Compute the eigenvalues and bases of the corresponding eigenspaces of A. (Repeated eigenvalues should be entered repeatedly with the same eigenspaces.) 11 = has eigenspace span (smallest i-value) 12 = has eigenspace span (largest 2-value) 11 (c) Compute the algebraic and geometric multiplicity of each eigenvalue. […]

Need assistance in completed this week 2 of assignments. Week 2 Algebra Talk Variation is a great example of how mathematics is used to model and solve real-world problems. Many fields of study contain examples of the three different kinds of variation:Direct variation (for example, y = kx)Inverse variation (for example, y = k/x)Joint variation (for example, z = kxy)Definition of Joint VariationJoint variation is […]