Section 10.2

Section 10.2 - specified point. 12/9/08 7:41 PM Section...

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12/9/08 7:41 PM Section 10.2 Page 1 of 2 http:[email protected][email protected] Section 10.2 (Homework) MICKLES BRANDON L MA 242, section 008, Fall 2008 Instructor: April Alston Web Assign Current Score: 25 out of 25 Due: Friday, September 12, 2008 10:08 PM EDT Description Derivatives and Integrals of Vector Functions The due date for this assignment is past. Your work can be viewed below, but no changes can be made. 1. [SCalcCC2 10.2.10.] 3/3 points Find the derivative of the vector function. r ( t ) = < cos 9 t , t , sin 9 t > < -9sin(9t) -9*sin(9*t) , 1 1 , 9cos(9t) 9*cos(9*t) > 2. [SCalcCC2 10.2.18.] 8/8 points If r ( t ) = < e 2 t , e -2 t , te 2 t >, find T (0), r ''(0), and r '( t ) ·r ''( t ). T (0) = < 2/3 0.667 , -2/3 -0.667 , 1/3 0.333 > r ''(0) = < 4 4 , 4 4 , 4 4 > r '( t ) ·r ''( t ) = -8exp(-4t)+8t^2exp(4t)+12texp(4t)+12exp(4t) (8*t^2 + 12*t + 12) * exp(4*t) - 8*exp(-4*t) 3. [SCalcCC2 10.2.20.] 3/3 points Find parametric equations for the tangent line to the curve with the given parametric equations at the

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Unformatted text preview: specified point. 12/9/08 7:41 PM Section 10.2 Page 2 of 2 http:[email protected][email protected] x = t 2- 1, y = t 2 + 1, z = t + 1; (-1, 1, 1) x ( t ) = -1 -1 + 0*t y ( t ) = 1 1 + 0*t z ( t ) = 1+t 1 + 1*t 4. [SCalcCC2 10.2.22.] 3/3 points Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x = ln t , y = 2 t , z = t 2 ; (0, 2, 1) x ( t ) = t t y ( t ) = 2+t 2 + t z ( t ) = 1+2t 1 + 2*t 5. [SCalcCC2 10.2.28.] 5/5 points At what point do the curves r 1 ( t ) = < t , 1 - t , 3 + t 2 > and r 2 ( s ) = <3 - s , s- 2, s 2 > intersect? < 1 1 , , 4 4 > Find their angle of intersection correct to the nearest degree. 54.7 55 ° 6. [SCalcCC2 10.2.32.] 3/3 points Evaluate the integral. 14/3 4.67 i + .644 0.644 j + .75 0.75 k...
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This note was uploaded on 11/15/2010 for the course MA 242 taught by Professor Bliss during the Spring '08 term at N.C. State.

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Section 10.2 - specified point. 12/9/08 7:41 PM Section...

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