Write a in the form a = a T+an N at the given value of t without finding T and N. r(t) = (bet cos t) i + (6 et sin t)j + (6 et 13)k, t=0 a(0) = ( 1+ (ON (Type exact answers, using radicals as needed.)
Write a in the form a-ayT.aNN atthe given value of t without finding T and N (Type exact answers, using radicals as needed.) Write a in the form a-ayT.aNN atthe given value of t without finding T and N (Type exact answers, using radicals as needed.)
Write a in the form a - aTT+ ayN at the given value of t without finding T and N r(t) (2t+2)ji (3)j (t2)k, t3 (Type exact answers, using radicals as needed.)
Find the arc length parameter along the curve from the point where t=0 by evaluating the integral s | |vIdT. Then find the length of 0 the indicated portion of the curve. The arc length parameter is s(t) (Type an exact answer, using radicals as needed.) Find T, N, and k for the plane curve r(t) (2t+9) i+ (5-t2) j T(t)= (Type exact answers, using radicals as needed.) (Type exact answers, using radicals as needed.) Find the arc length parameter...
The position of a particle in space at time is r(t) as shown below. Find the particle's velocity and acceleration vectors. Then find the particle's speed and direction of motion alt=1 (0 (4 in (t+1) The particle's velocity is 1.3k Clype exact answers, using radicals as needed.) The particle's acceleration is +3.0k (Type exact answers, using radicals as needed) The particle's speed at t=1s (Type an exact answer, using radicals as needed) The particle's direction at t=1s (+0+* (Type exact...
Write the complex number in trigonometric form (cos 0 + i sin ), with in the interval [0°,360°). - 8 -8= = cos ]° + i sin º) (Type the value for r as an exact answer, using radicals as needed. Type the value for as an integer or decimal rounded to the nearest tenth as needed.)
This exercise refers to P, with the inner product given by evaluation at - 1,0, and 1. Compute || || and || 9 || for p(t) = 3 +t and g(t) = 3 - 2 IPL = (Simplify your answer. Type an exact answer, using radicals as needed.) 19 = (Simplify your answer. Type an exact answer, using radicals as needed.)
Write down the exact value of each of the six trigonometric functions of 60° sin 60º = (Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.) cos 60° = 0 (Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.) tan 60º = (Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.) CSC 60°...
Solve the given initial value problem. | | - = 4x + y; | (0) = 3 2 = -2x+y, y(0)=0 | The solution is x(t) = I and y(t) = D. Find the critical point set for the given system. | = y +5 = x + y - 2 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The set of critical points is { }. (Use a...
This Question: 1 pt 10 of 18 (17 complete) Find the directions in which the function increases and decreases most rapidly at Po. Then find the derivatives of the function in those directions f(x,y,z) - In (xy) + 2 In (yz) + 3 In (xz). Po(1,1,1) In which direction does the function increase most rapidly? u=() i+ 1+ k (Type exact answers, using radicals as needed.) In which direction does the function decrease most rapidly? -u= (1 + ( 1+...