25 Math 271 Test Form Name Mahbubur Khan Date 05 04 2622 Final Exam Class Beb Cplinski Section Math271 Chapters 10 14 S 1 (49.54 KiB) Viewed 39 times
25 MATH 271 Test Form Name Mahbubur khan Date 05-04-2622 FINAL EXAM Class Beb Cplinski Section Math271. Chapters 10-14 Show your work No with score. 1. If the point (3. - 5) is the initial point of v 21-4).find the termini 2. Determine if the vectors Y = 31 - 7 and w-2 + anterhp..ce neither du.. Fw 3. Find + sin(e) = 0 Fx 4. Find two unit vectors orthogonal to both u = 1+2 and 31- 5. Find the directional derivative of $(x,y) = 3ry at the point (1.2) in the direction of 7 = 31+4j. 6. For the function(ex. - find the maximum value of the directional derivative at the point (1,2,3). 7. Evaluate the integrat (sin tl + Raj + k)dt. & Find F() given that a(t) = 1 + e, 710) 2) and r(0) = 21 9. Letr() - 4 cos ti + 4 sin tj + 212. Find the unit tangent vestee 10. Find the length of the space curve represented by the vector r() - 11 + tj + p, 2 7. " 11. Find the first partial derivative with respect to y, Flx.x.-) -aren 12. Use the appropriate Chain Rule to find my when r = -1 forw=--2-1-1. y = 2+3.2+ Houghton Millin Company. All rights reserved. 13. Find the domain of the vector-valued function r(t) = 241 +243 + Intk. Find the limit: lim 14. sint 1-1 COSTI {ahܗ ܘܤ +3++ AS 15. Let r(t) = r sin ti + cos tij + tk. Find r(u). 16. Calculate the speed of the object having the position vector r(t) = sin ti + ces tj – 16Ft CS Scanned with CamScanner at the point where - 1.
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- find the maximum value of the directional derivative at the point (1,2,3). 7. Evaluate the integrat (sin tl + Raj + k)dt. & Find F() given that a(t) = 1 + e, 710) 2) and r(0) = 21 9. Letr() - 4 cos ti + 4 sin tj + 212. Find the unit tangent vestee 10. Find the length of the space curve represented by the vector r() - 11 + tj + p, 2 7. " 11. Find the first partial derivative with respect to y, Flx.x.-) -aren 12. Use the appropriate Chain Rule to find my when r = -1 forw=--2-1-1. y = 2+3.2+ Houghton Millin Company. All rights reserved. 13. Find the domain of the vector-valued function r(t) = 241 +243 + Intk. Find the limit: lim 14. sint 1-1 COSTI {ahܗ ܘܤ +3++ AS 15. Let r(t) = r sin ti + cos tij + tk. Find r(u). 16. Calculate the speed of the object having the position vector r(t) = sin ti + ces tj – 16Ft CS Scanned with CamScanner at the point where - 1.