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Find the derivative of the following function. m(t) = - 3t (6t3 - 1)? m'(t) =
(1 point) Given R(t)=e4tcos(3t)i+e4tsin(3t)j+3e4tkR(t)=e4tcos(3t)i+e4tsin(3t)j+3e4tk Find the derivative R′(t)R′(t) and norm of the derivative. R′(t)=R′(t)= ∥R′(t)∥=‖R′(t)‖= Then find the unit tangent vector T(t)T(t) and the principal unit normal vector N(t)N(t) T(t)=T(t)= N(t)=N(t)= (1 point) Given R(t) = cos(36) i + e sin(3t) 3 + 3e"k Find the derivative R') and norm of the derivative. R'(t) = R' (t) Then find the unit tangent vector T(t) and the principal unit normal vector N() T(0) N() Note: Yn can can on the hom
Find the derivative of the following function. m(t) = - 41( 315 - 1) 8 m' (t) =
8. DETAILS SCALCET8 2.8.502.XP. Find the derivative of the function using the definition of derivative. f(t) = 3t - 862 f"(t) State the domain of the function. (Enter your answer using interval notation.) State the domain of its derivative. (Enter your answer using interval notation.)
Consider the following. 7 g(t) = 846 Find the first derivative of the function. g'(t) = Find the second derivative of the function. g"(t) = X Use the General Power Rule to find the derivative of the function. 1 y = 3 (8 - x3,8 y' = Find the derivative of the function. 3 8x 5 Y= 뉴 4-X y =
Suppose that the position of a particle is given by 8 = f(t) = 6t3 + 7t + 9. (a) Find the velocity at time t. т v(t) = S (b) Find the velocity at time t = 3 seconds. m s (c) Find the acceleration at time t. m a(t) = 82 (d) Find the acceleration at time t = 3 seconds. т 82 Question Help: Message instructor Submit Question Find the derivative of f(x) = –67 + 10...
(1 point) Find the Laplace transform of 7emt – 6t3: (1 point) Since 3temt – 7t2 sin(at) = {2 (3emt – 7 sin(at)), to find the Laplace transform of 3t2 emt – 7t+ sin(at) you take the second derivative of Therefore L{3t2 emt – 7t2 sin(at)}(s) =
(1 point) Find a vector function r(t) that satisfies the indicated conditions: (t) = (sin 3t, sin 41,5t), r(0) = (8, 8, 8) r(t) =(
Take the derivative of each of the following 3t = 1. g(x) = (3x2 – 22 )4 2. r(t) t2+1 3. f(z) = (5x+1)3 sin^2 4. f(x) = cos (ex?)
1. Find the Laplace transform of the function f(t) = 1 + 2t + 3e-3t - 5 sin(4t). Solution: 2. Find the inverse Laplace transform of F(s) = 7+ (8 + 4)(18 - 3s) (s - 3)(s – 1)(s + 4)" Solution:
Find the Laplace transform of the function f(t). f(t) = sin 3t if 0 <t< < 41; f(t) = 0 ift> 41 5) Click the icon to view a short table of Laplace transforms. F(s) = 0