SET2 CW 2022

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Across
  1. 1. A triangular array of binomial coefficients is also known as ______’s Triangle
  2. 3. A circular wire of radius 70cm is cut and bent into the form of a rectangle whose sides are in the ratio 6:5. The smaller side of the rectangle is _______.
  3. 7. A ____ series represents an expansion of a function into a sum of terms that is infinite
  4. 8. |log|x|| is not _________ at -1 and 1
  5. 13. Curvature of a straight line
  6. 14. ____ can be vertical, horizontal, or slanted lines that graphs can approach, but can never touch
  7. 17. _____ Spheroid is a flattened sphere. In fact, this is the shape of the Earth!
  8. 20. _____ is a line which is used in mathematics above a group of numbers or symbols to show that they should be grouped together
  9. 21. Birthplace of Sir Ramanujan
  10. 22. (3tanx-tan^3x)/(1-3tan^2x) is the _______ angle formula of tan.
  11. 24. The concept of __________ has applications in logic, computer science, and math. It deals with infinite functions coming closer to a limit as a variable—or an argument when dealing with logic—that increases or decreases along with the number of terms in the series.
  12. 26. ____ refers to a condition in which the variance of the residual term, or error term, in a regression model varies widely
  13. 29. Euler's ____ function counts the number of positive integers less than n that are coprime to n
Down
  1. 2. Type of matrix where |A|=0 is __________ matrix.
  2. 4. The _____ function is one commonly used extension of the factorial function to complex numbers
  3. 5. An expression containing one or more irrational roots of numbers, such as 2√3 + 3√2 + 6
  4. 6. Diagrams used to depict the logical relations between sets
  5. 9. A sequence beginning with a 0 and 1 whereby each number is the sum of the two numbers preceding it. "0, 1, 1, 2, 3, 5, 8, 13, 21, 34..." is a
  6. 10. Square root of -1 is
  7. 11. They are not usually deemed to be important in their own right, they are smaller results which enable the proof of bigger results.
  8. 12. A mathematical operation on two functions (f and g) that produces a third function that expresses how the shape of one is modified by the other.
  9. 13. limit (x tends to 0) ((sinx + cos x)/x)-2=
  10. 15. In a tournament 55 matches are played. If each team plays one match with every other team, the total number of teams is?
  11. 16. ln (2.718)^7 is
  12. 18. ____ is the line segment which goes from the centre of a regular polygon to the midpoint of one of its sides.
  13. 19. The act of establishing a mathematical result using indisputable logic, rather than informal descriptive argument
  14. 23. The curved surface area of a right circular cone is 160% more than the area of its base. If the total surface area of the cone is 13860 sq cm. What is the height(in cm ) of the cone?
  15. 25. In how many ways can the letter of the word “SUCCESS” be arranged in such a way that the vowels always come together.
  16. 27. Sum of the dots on opposite faces of a dice is always
  17. 28. An obsolescent term which is used to announce to the reader an alternative method, or proof of a result