BASIC CALCULUS

PLEASE KINDLY HELP ME WITH MY HOMEWORK

*I'll rate the tutor as helpful only if he/she has clear and good formatting

*I promise to provide a positive feedback

\fD. No answer 21. Which of the following does NOT define the slope of the tangent line to the curve? A. It is constant. B. It is not constant and must be determined by a point. C. It is equal the derivative of the function. D. It is derived from the concept of the slope of a second line. 22. On which of the following conditions will a tangent line exist? 9: navig A. Function continuous at P. E 8 B. Function discontinuous at P. 10 svuaviish art bong C. Curve with cusp at P. D. Curve with corner at P. A 23. Which of the following describes a line tangent to a given curve drawn at its maximum or minimum point? ab ent staulava e A. has a positive slope C. horizontal a B. has a negative slope D. vertical 24. Which is the line perpendicular to the tangent line at the point of tangency? " = x8 -Va to evilsvish and'sfoulsva .0 A. secant B. skew C. parallel D. normal .8 25. Which of the following is equal to the slope of the tangent line? A. Average rate of change C. Slope of the secant line bear B. Instantaneous rate of change D, Slope of the line perpendicular to the given tangent line. 26. Which of the following statements is CORRECT?\f40. Look for two positive numbers whose sum is 80 and whose product is a maximum. 0 . A. 40 and 40 B. 20 and 60 C. 45 and 35 D. 30 and 50 For item number 41-45 Match Column A with Column B, where A is the collection of functions and B is the collection of derivatives. Write the letter of the correct answer on a separate sheet of paper. (Use calculator whenever necessary). Column A Column B 41. y = (x2 - 5x - 2)2 now206 0 A. 1 2(x+8) 1/2 42. y = sin(2x - 5) B. 12x2 - 32x + 16 43. y = Vx + 8 C. --10x sin(5x2 - 3) 44. y = 4x(x*2-2)2 D. 2cos(2x - 5) evoundao0 45. y = cos (5x2 - 3) E. (4x - 10) (x2 - 5x - 2) 46. Given x + 3y = 1, use implicit differentiation to find - dx B. - C. - D. 47. Solve for -, given the function 2x -y =4 A. 4 B. 3 C. 2 D. 1 48. Find the derivative of x + 3y = 2 A. - NI W WIN A I W D. - 49. Evaluate the derivative of 4y -5x = 3 mixsin att 's twolb svivo mavis s of magnet shil s zednoesb envrollof and! A. - - B. - C. -: A I W D. Isthoshort 50. Evaluate the derivative of 6y - 8x = 7 sysle svisasn fonegrist to inlog ant is sail inagaist sill of shoaibneg tog anil she al A. - WIN lallersq S