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6201/MAT291/MAT%20291%202016.pdf 3/4 100% + MAT 291 2018pdr Question 4 (a) Apply the Maclaurin's series to establish a series upto the term of a for (i) cos and (ii) and hence show that [3] 131 222 [2] COS 134 + 2 2 24 (b) The deflection y at the centre of the rod is known to be given by kwt d where k is a constant. If we decreases by 1%, 1 by 3% and d increases by 2%, find the percentage decrease in y (c) The total surface area S of a cone of base radius r and perpendicular height is given by If r and h are each increasing at the rate of 0.25 cm/s. find the rate at which S is increasing at the instant when 6 cm and h 8 cm. Q Search L hp e 181 101 ENG LIS 24 100% SECTION A Answer All Questions: Each Question carries 25 Marks Question 1 (a) Find the values of r which satisfy the equation: -5 -6 I 2 =0. B 2 (b) Find the range of r for which the following series Search absolutely convergent. n n1 (c) A tank on the wing of a jet aircraft is formed by revolving the region bounded by the graph of y = √2-r and the r-axis and the lines x=0 and r = 2 about the r-axis, where r and y are measured in meters Find the volume of the tank. Question 2 (a) Compute all eigen values and find an eigen vector corresponding to the largest eigen value for the symmetric matrix hp

6201/MAT291/MAT%20291%202016.pdf 3/4 100% + MAT 291 2018pdr Question 4 (a) Apply the Maclaurin's series to establish a series upto the term of a for (i) cos and (ii) and hence show that [3] 131 222 [2] COS 134 + 2 2 24 (b) The deflection y at the centre of the rod is known to be given by kwt d where k is a constant. If we decreases by 1%, 1 by 3% and d increases by 2%, find the percentage decrease in y (c) The total surface area S of a cone of base radius r and perpendicular height is given by If r and h are each increasing at the rate of 0.25 cm/s. find the rate at which S is increasing at the instant when 6 cm and h 8 cm. Q Search L hp e 181 101 ENG LIS 24 100% SECTION A Answer All Questions: Each Question carries 25 Marks Question 1 (a) Find the values of r which satisfy the equation: -5 -6 I 2 =0. B 2 (b) Find the range of r for which the following series Search absolutely convergent. n n1 (c) A tank on the wing of a jet aircraft is formed by revolving the region bounded by the graph of y = √2-r and the r-axis and the lines x=0 and r = 2 about the r-axis, where r and y are measured in meters Find the volume of the tank. Question 2 (a) Compute all eigen values and find an eigen vector corresponding to the largest eigen value for the symmetric matrix hp

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.5: Trigonometric Graphs
Problem 67E
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6201/MAT291/MAT%20291%202016.pdf 3/4 100% + MAT 291 2018pdr Question 4 (a) Apply the Maclaurin's series to establish a series upto the term of a for (i) cos and (ii) and hence show that [3] 131 222 [2] COS 134 + 2 2 24 (b) The deflection y at the centre of the rod is known to be given by kwt d where k is a constant. If we decreases by 1%, 1 by 3% and d increases by 2%, find the percentage decrease in y (c) The total surface area S of a cone of base radius r and perpendicular height is given by If r and h are each increasing at the rate of 0.25 cm/s. find the rate at which S is increasing at the instant when 6 cm and h 8 cm. Q Search L hp e 181 101 ENG LIS
Transcribed Image Text:6201/MAT291/MAT%20291%202016.pdf 3/4 100% + MAT 291 2018pdr Question 4 (a) Apply the Maclaurin's series to establish a series upto the term of a for (i) cos and (ii) and hence show that [3] 131 222 [2] COS 134 + 2 2 24 (b) The deflection y at the centre of the rod is known to be given by kwt d where k is a constant. If we decreases by 1%, 1 by 3% and d increases by 2%, find the percentage decrease in y (c) The total surface area S of a cone of base radius r and perpendicular height is given by If r and h are each increasing at the rate of 0.25 cm/s. find the rate at which S is increasing at the instant when 6 cm and h 8 cm. Q Search L hp e 181 101 ENG LIS
24 100% SECTION A Answer All Questions: Each Question carries 25 Marks Question 1 (a) Find the values of r which satisfy the equation: -5 -6 I 2 =0. B 2 (b) Find the range of r for which the following series Search absolutely convergent. n n1 (c) A tank on the wing of a jet aircraft is formed by revolving the region bounded by the graph of y = √2-r and the r-axis and the lines x=0 and r = 2 about the r-axis, where r and y are measured in meters Find the volume of the tank. Question 2 (a) Compute all eigen values and find an eigen vector corresponding to the largest eigen value for the symmetric matrix hp
Transcribed Image Text:24 100% SECTION A Answer All Questions: Each Question carries 25 Marks Question 1 (a) Find the values of r which satisfy the equation: -5 -6 I 2 =0. B 2 (b) Find the range of r for which the following series Search absolutely convergent. n n1 (c) A tank on the wing of a jet aircraft is formed by revolving the region bounded by the graph of y = √2-r and the r-axis and the lines x=0 and r = 2 about the r-axis, where r and y are measured in meters Find the volume of the tank. Question 2 (a) Compute all eigen values and find an eigen vector corresponding to the largest eigen value for the symmetric matrix hp
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