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Answer ALL questions. SHOW ALL WORKING BRFORE PICKING THE OPTIONS QI: Evaluate I = [x* In xdx (A) - In x-+c (B) 25 In x- 5 5 +с (С) In x-+c (D) +C 5x d Q2: If ff(x)dx= h, then h+cosx+ [f(x)dx (A) sin x (B) cos x (C) 0 (D) –h. d Q3: Find the differential coefficient of y=(x² -1)sin 2x at x=0. (A) –1 (B) 1 (C) – 2 (D) 0 Q4:Find the volume of solid generated when y= /x+1_is completely rotated about the x -axis 157 - unit (B) 2 57 - unit (C) Зл - unit (D) 5 57 - unit³ 7 with x=0 & x=3. (A) 1 dx is: (A) In(1)+k (B) In k +x (С) In x+1, kx (D) none of the above Q5: 1= *(x+1), x+1 (dy if y = xen2x* . (A) 0 (B) 1 (C) 2 (D) 3 40 dx Q6: Evaluate lim dy Q7: The gradient of a curve at any point is given by = 2(x-1) such that the point (4,5) lies on dx the curve. Find the area (in unit² ), bounded by the curve & the x-axis. (A) 3 (B) 4(C) 5 (D) 6 2y(x+1) 2x- y² y(x+1) (B) (C) x-y x-y² (D) 2.x - y? 2y(x+1) dy Q8: Find if (x+1)y² =x². (A) dx y(x+1) Q9: Find the equation of tangent to the curve y=x' at x=2. (A) 12y+x-98=0 (B) 12y+x+98=0 (C) y=12x-16 (D) y =12x+16 Q10: Find the equation of normal to the curve y=x' at x=2. (A) y=12x-16 (B) 12y+x+98=0 (C) 12y+x-98=0 (D) y =12x+16

Answer ALL questions. SHOW ALL WORKING BRFORE PICKING THE OPTIONS QI: Evaluate I = [x* In xdx (A) - In x-+c (B) 25 In x- 5 5 +с (С) In x-+c (D) +C 5x d Q2: If ff(x)dx= h, then h+cosx+ [f(x)dx (A) sin x (B) cos x (C) 0 (D) –h. d Q3: Find the differential coefficient of y=(x² -1)sin 2x at x=0. (A) –1 (B) 1 (C) – 2 (D) 0 Q4:Find the volume of solid generated when y= /x+1_is completely rotated about the x -axis 157 - unit (B) 2 57 - unit (C) Зл - unit (D) 5 57 - unit³ 7 with x=0 & x=3. (A) 1 dx is: (A) In(1)+k (B) In k +x (С) In x+1, kx (D) none of the above Q5: 1= *(x+1), x+1 (dy if y = xen2x* . (A) 0 (B) 1 (C) 2 (D) 3 40 dx Q6: Evaluate lim dy Q7: The gradient of a curve at any point is given by = 2(x-1) such that the point (4,5) lies on dx the curve. Find the area (in unit² ), bounded by the curve & the x-axis. (A) 3 (B) 4(C) 5 (D) 6 2y(x+1) 2x- y² y(x+1) (B) (C) x-y x-y² (D) 2.x - y? 2y(x+1) dy Q8: Find if (x+1)y² =x². (A) dx y(x+1) Q9: Find the equation of tangent to the curve y=x' at x=2. (A) 12y+x-98=0 (B) 12y+x+98=0 (C) y=12x-16 (D) y =12x+16 Q10: Find the equation of normal to the curve y=x' at x=2. (A) y=12x-16 (B) 12y+x+98=0 (C) 12y+x-98=0 (D) y =12x+16

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.3: Change Of Basis
Problem 12EQ
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Answer ALL questions. SHOW ALL WORKING BRFORE PICKING THE OPTIONS QI: Evaluate I = [x* In xdx (A) - In x-+c (B) 25 In x- 5 5 +с (С) In x-+c (D) +C 5x d Q2: If ff(x)dx= h, then h+cosx+ [f(x)dx (A) sin x (B) cos x (C) 0 (D) –h. d Q3: Find the differential coefficient of y=(x² -1)sin 2x at x=0. (A) –1 (B) 1 (C) – 2 (D) 0 Q4:Find the volume of solid generated when y= /x+1_is completely rotated about the x -axis 157 - unit (B) 2 57 - unit (C) Зл - unit (D) 5 57 - unit³ 7 with x=0 & x=3. (A) 1 dx is: (A) In(1)+k (B) In k +x (С) In x+1, kx (D) none of the above Q5: 1= *(x+1), x+1 (dy if y = xen2x* . (A) 0 (B) 1 (C) 2 (D) 3 40 dx Q6: Evaluate lim dy Q7: The gradient of a curve at any point is given by = 2(x-1) such that the point (4,5) lies on dx the curve. Find the area (in unit² ), bounded by the curve & the x-axis. (A) 3 (B) 4(C) 5 (D) 6 2y(x+1) 2x- y² y(x+1) (B) (C) x-y x-y² (D) 2.x - y? 2y(x+1) dy Q8: Find if (x+1)y² =x². (A) dx y(x+1) Q9: Find the equation of tangent to the curve y=x' at x=2. (A) 12y+x-98=0 (B) 12y+x+98=0 (C) y=12x-16 (D) y =12x+16 Q10: Find the equation of normal to the curve y=x' at x=2. (A) y=12x-16 (B) 12y+x+98=0 (C) 12y+x-98=0 (D) y =12x+16
Transcribed Image Text:Answer ALL questions. SHOW ALL WORKING BRFORE PICKING THE OPTIONS QI: Evaluate I = [x* In xdx (A) - In x-+c (B) 25 In x- 5 5 +с (С) In x-+c (D) +C 5x d Q2: If ff(x)dx= h, then h+cosx+ [f(x)dx (A) sin x (B) cos x (C) 0 (D) –h. d Q3: Find the differential coefficient of y=(x² -1)sin 2x at x=0. (A) –1 (B) 1 (C) – 2 (D) 0 Q4:Find the volume of solid generated when y= /x+1_is completely rotated about the x -axis 157 - unit (B) 2 57 - unit (C) Зл - unit (D) 5 57 - unit³ 7 with x=0 & x=3. (A) 1 dx is: (A) In(1)+k (B) In k +x (С) In x+1, kx (D) none of the above Q5: 1= *(x+1), x+1 (dy if y = xen2x* . (A) 0 (B) 1 (C) 2 (D) 3 40 dx Q6: Evaluate lim dy Q7: The gradient of a curve at any point is given by = 2(x-1) such that the point (4,5) lies on dx the curve. Find the area (in unit² ), bounded by the curve & the x-axis. (A) 3 (B) 4(C) 5 (D) 6 2y(x+1) 2x- y² y(x+1) (B) (C) x-y x-y² (D) 2.x - y? 2y(x+1) dy Q8: Find if (x+1)y² =x². (A) dx y(x+1) Q9: Find the equation of tangent to the curve y=x' at x=2. (A) 12y+x-98=0 (B) 12y+x+98=0 (C) y=12x-16 (D) y =12x+16 Q10: Find the equation of normal to the curve y=x' at x=2. (A) y=12x-16 (B) 12y+x+98=0 (C) 12y+x-98=0 (D) y =12x+16
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