B.Sc. (Computer Science) Sem 2 Calculus Oct 2018 ATKT Question Paper - Mumbai University | munotes

Questions asked in this paper

• 2) Figures to the right indicate marks

1. Q3 in-depth vers and di
2. Q3 in-depth answers and diagrams wij] 53 marks
3. Q4 Mixing of sub-questions is not allowed
4. Q1 All (Each of 5Marks)
   • (a) Select correct answer from the ( )
5. Q1 In which of the following method, we the ofSoluition by ihe tangent in each interval
   • b) Euler’s method &
   • c) method J f(x) dx f(x) dx as
   • a) Even function
   • c) constant
   • d) none of the
6. Q4 lim curves crosses each other is called
   • A) Point of Point of inflexion is the of writing a differential equati i
   • (c) Answer the following in one line ORS
7. Q1 State definition of limit
8. Q2 Define Concavity +
9. Q3 Evaluate gy 4, Define the term Definite Integral
10. Q5 Define Absolute Extreme values OSS
11. Q2 Attempt the following (Any THREE)
    • (a) Show that lim = 16
    • (b) Show that |x| is continuous
    • (c) the intervals on which is
    • (d) the relative extrema of 3x? using both first
    • (e) Using method the approximate root for the
    • (f) A garden is to be laid area and protected: by wire fence. What is thelargest the garden if Turning feet of chicken the
12. Q3 Attempt the (5M)
    • (a) Evaluate
    • (b) Evaluate SES the (Any THREE) Ws SERS y = a sint. Use chain rule to find derivative of 23 42 *t the point in the vector of Evaluate it at (3,4 quation for the tangent pia and parametric normal line to the surface z=x?y at the point (2, 1, 4) for
13. Q5 Attempt the following (Any THREE)
    • (a) Locate all relative extrema and saddle points of
    • (b) the differential equation
    • (c) the graph of the equation y= unction y is increasing and decreasing (draw.the graph ere

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