Read the problem carefully: Before attempting to solve the problem, make sure you have read the problem thoroughly and understand what is being asked of you. Take note of the numbers and operations involved, and make sure you understand any terms or concepts used in the problem.

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Read the problem carefully: Before attempting to solve the problem, make sure you have read the problem thoroughly and understand what is being asked of you. Take note of the numbers and operations involved, and make sure you understand any terms or concepts used in the problem.

Identify what is being asked: After reading the problem, identify what is being asked of you. Look for key phrases or words that indicate what the problem is asking, such as "find the value of x" or "calculate the area of the rectangle."

Plan your approach: Once you have a clear understanding of what the problem is asking, plan how you will solve it. Decide on the appropriate formula or method you will use to solve the problem. If necessary, sketch a diagram or visualize the problem to help you better understand it.

Show your work: As you solve the problem, show your work. Write down each step you take and the calculation you make. This not only helps you keep track of your progress, but also makes it easier to check your work and identify any mistakes you may have made.

Use appropriate units: Make sure to use appropriate units when answering the problem. If the problem involves measurements, use the appropriate units of measurement, such as meters or centimeters, when providing your answer.

Check your answer: After you have solved the problem, double-check your work to make sure you have arrived at the correct answer. This can be done by plugging your answer back into the original problem or by using a calculator to verify your answer.

Look for alternative solutions: Sometimes there may be more than one way to solve a problem. If you arrive at an answer using one method, try to look for alternative solutions to see if you can arrive at the same answer using a different method.

Identify and correct mistakes: If you find that your answer is incorrect, identify where you made a mistake and correct it. Go back through your work to see where you may have made an error in calculation or misunderstood the problem.

Practice regularly: The more you practice solving math problems, the better you will become at it. Make a habit of practicing math problems regularly, whether it's by doing exercises in a textbook or using online resources.

Seek help if needed: If you are struggling to solve a math problem, don't be afraid to seek help. Talk to your teacher or a tutor, or join a study group to get help from your peers. There are also many online resources and forums where you can ask questions and get help from experts in the field.

2. Question Relations R1, R2, R3 and R4 are defined on a set A = {a, b, c} as follows : R1 = {(a, a) (a. b) (a. C) (b. b) (b, C). (c. a) (C. b) (c, 0)} R2 = {(a. 8)} R3 = {(b. a)} R4 = {(a. b) (b, C) (c, 6|)} Find whether or not each of the relations RIl, R2, R3, R4 on A is (i) reflexive (iii) symmetric (iii) transitive. 3 A. Question Test whether the following relations R1, R2 and R3 are (i) reexive (ii) symmetric and (iii) transitive: R1 on Q0 defined by (a, b) E RM: a = 1fb 3 B. Question Test whether the following relations R1, R2 and R3 are (i) reexive (ii) symmetric and (iii) transitive: R2 on Z defined by (a, b) E R2 |a b| S 5 3 C. Question Test whether the following relations R1, R2 and R3 are (i) reflexive (ii) symmetric and (iii) transitive: R3 on R dened by (a. b) e R3 a2 4 ab + 3b2 = U. \fQ16 : Prove that the function fgiven by ((x) = log sin x is strictly increasing on 0, and strictly decreasing on\f\fQ11 : Prove that the function fgiven by {{x) = x2 - x+ 1 is neither strictly increasing nor strictly decreasing on (-1, 1).\f\fQuestion 14: Express the following expression in the form of a + ib. (3+iv/5 3-iV5 V3+ 2i -(V3-1V/2Q2: The 1irtmlume cf a cube is increasing at the rate cf 3 cm3rs. How fast is the surface area increasing when the length of an edge is 12 cm? \fidea is to use the graph) and invite others in your group to solve f(;l':) g 0. Respond to one or two other posts with clear solutions. Include information about key characteristics that you observe about x}. Use appropriate interval and set notation. Question 16: Find the position vector of the mid point of the vectorjoining the points P (2, 3, 4) and Q (4-, 1, - 2). \f\f\fQuestion 9: For given vectors, 5 = 2'13\" 2k and b = 4 +jk , find the unit vector in the direction of the vector E \"J