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MULTIPLE CHOICE QUESTIONS IN ENGINEERING MATHEMATICS BY BESAVILLA ( ALL ANSWERS CORRECT )

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MULTIPLE CHOICE QUESTIONS IN ENGINEERING MATHEMATICS BY BESAVILLA1. Evaluate the lim (x^2-16)/(x-4). a. 1 b. 8 c. 0 d. 16 2. Evaluate the limit (x-4)/(x^2-x-12) as x approaches 4. a. undefined b. 0 c. infinity d. 1/7 3. What is the limit of cos (1/y) as y approaches infinity? a. 0 b. -1 c. infinity d. 1 4. Evaluate the limits of lim (x^3-2x+9) /(2x^3-8). a. 0 b. -9/8 c. α d. ½ 5. Evaluate the limit of (x^3-2x^2-x+2) /(x^2-4) as x approaches 2. a. α b. ¾ c. 2/5 d. 4/7 6. Evaluate the limit of √(x-4)/√(x^2-16) as x approaches 4. a. 0.262 b. 0.354 c. 0 d. α 7. Evaluate the limit of (x^2-x-6)/(x^2-4x+3) as x approaches 3. a. 3/2 b. 3/5 c. 0 d. 5/2 8. Evaluate the limit of (4x^2-x)/ (2x^2+4) as x approaches α. a. 2 b. 4 c. αd. 0 9. Evaluate the limit of (x-2)/(x^3-8) as x approaches 2. a. α b. 1/12 c. 0 d. 2/3 10. Evaluate the limit of θ/(2 sinθ) as θ approaches 0. a. 2 b. ½ c. 0 d. α 11. Evaluate the limit of (1-sec^2 (x)/ cos (x)-1 as x approaches 0. a. -2 b. α c. 0 d. 1 12. Evaluate the limit (x^3-27)/(x-3) as x approaches to 3. a. 0 b. infinity c. 9 d. 27 13. Evaluate the limit (3x^3-4x^2-5x+2)/ (x^2-x-2) as x approaches to 2. a. α b. 5 c. 0 d. 7/3 14. Evaluate the limit of (4 tan^3 (x)/ 2sin(x)-x as x approaches 0. a. 1 b. 0 c. 2 d. α 15. Evaluate the limit of 8x/(2x-1) as x approaches α. a. 4 b. 3 c. 2 d. -1 16. Evaluate the limit of (x^2-1)/ (x^2+3x-4) as x approaches 1.a. 2/5 b. 1/5 c. 3/5 d. 4/5 17. Evaluate the limit of (x+2)/(x-2) as x approaches α. a. α b. -1 c. 1 d. 4 18. Evaluate the limit of (1-cosx)/(x^2) as x approaches 0. a. α b. ½ c. 1 d. 0 19. Find the limit of [sqrt(x+4)-2]/x as x approaches 0. a. α b. ¼ c. 0 d. ½ 20. Find the limit [sqrt(x+9)-3]/x as x approaches 0. a. α b. 1/6 c. 0 d. 1/3 21. Evaluate the limit (x^2+x-6)/(x^2-4) as x approaches to 2. a. 6/5 b. 5/4 c. 4/3 d. 3/2 22. Evaluate the limit (x^4-81)/(x-3) as x approaches to 3. a. 108 b. 110 c. 122 d. 100 23. Evaluate the limit (x+sin2x)/ (x-sin2x) as x approaches to 0. a. -5 b. -3 c. 4d. -1 24. Evaluate the limit (ln sin x)/(ln tan x) as x approaches to 0. a. 1 b. 2 c. ½ d. α 25. Compute the equation of the vertical asymptote of the curve y=(2x-1)/(x+2). a. x+2=0 b. x-3=0 c. x+3=0 d. x-2=0 26. Compute the equation of the horizontal asymptote of the curve y=(2x-1)/(x+2). a. y=2 b. y=0 c. y-1=0 d. y-3=0 27. The function y=(x-4)/(x+2) is discontinuous at x equals? a. -2 b. 0 c. 1 d. 2 28. An elliptical plot of garden has a semi-major axis of 6m and a semi-minor axis of 4.8meters. If these are increased by 0.15m each, find by differential equations the increase in area of the garden in sq.m. a. 0.62π b. 1.62π c. 2.62π d. 2.62π 29. The diameter of a circle is to be measured and its area computed. If the diameter can be measured with a maximum error of 0.001cm and the area must be accurate to within 0.10sq.cm. Find the largest diameter for which the process can be used. a. 64 b. 16 c. 32 d. 48 30. The altitude of a right circular cylinder is twice the radius of the base. The altitude is measured as 12cm. With a possible error of 0.005cm, find the approximately error in the calculated volume of the cylinder

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