
suppose vx=2t? and v,-12 t + sin(t) + cos(t) + e-t. If the initial position at...
Question 7 Suppose vx-2t2 and vy-12 t + sin(t) + cos(t) + et. If the initial position at t-0 is x-0, y-o, what is the final x position after 2 seconds? Select the correct answer CHECK ANSWER 0 of 1 attempts used LAST ATTEMPT O Between 0 and2 O Between 8 and 10 O Between 4 and 6 O Between 6 and O Between 2 and 4
1of 1 attempts used Question 7 Suppose v-2t2 and vy-12t+sin(t)+ cos(t)+ et. If the initial position at t-0 is x-0, y-0, what is the final x position after 2 seconds? Select the correct answer O Between 8 and 10 O Between D and 2 O Between 6 and 8 O Between 2 and 4 O Between 4 and 6 SONY 血ね F9 F10 5 6
If u(t) = sin(2t), cos(2t), t and v(t) = t, cos(2t), sin(2t) , use Formula 5 of this theorem to find d dt u(t) × v(t) .
If u(t) = (sin(2t), cos(3), t) and v(t) = (t cos(3), sin(2t)), use Formula 4 of this theorem to find lu(e) • vce). dt
(1 point) Given the acceleration vector a(t) = (-4 cos (2t))i + (-4 sin (2t))j + (-3t) k , an initial velocity of v (0) =i+ k, and an initial position of r (0)=i+j+ k, compute: A. The velocity vector v (t) = j+ . B. The position vector r(t) = j+ k
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-2t e - (13 points) Let f(t) cos 2t, sin 2t) for t 2 0. F() (a) (4 points) Find the unit tangent vector for the curve d (F(t)-v(t)) using the product rule for dt (b) (5 points) Let v(t) = 7'(t). Calculate the dot product and simplify v(t) (c) (4 points) For an arbitrary vector-valued function 7 (t) with velocity vector = 1, what can be said about the relationship between F(t) and v(t)? if F(t) (t)...
Solve the given initial-value problem. dax + 4x = -7 sin(2t) + 6 cos(2t), x(0) = -1, x'(0) = 1 xce) = -cos(2+) – sin(2t) + {cos(21) + (sin(21) Need Help? Read It Watch It Talk to a Tutor
Questions 9-11 all deal with the same curve: Consider the curver(t) = (cos(2t), t, sin(2t)) Find the length of the curve from the point wheret = 0 to the point where t = 71 O 75.7 G O 7/3.7 2. O 7V2.7 2 7.T 2 3 (Recall questions 9-11 all ask about the same curve) Find the arc-length parametrization of the curver(t) = (cos(26), t, sin(2t)), measure fromt O in the direction increasing t. Or(s) = (cos(V28), V28, sin(28)) Or(s)...
The switch closes at t 0 in the circuit shown. Determine v) if e(t)-10 sin(2t). 2Ω t 0 e(t) 0.1Fc(t) (a) vc() 3445etcos(2t) +8.620sin(21) (b) c(t) 3445e cos(2t)+17241sin(2t) (o) vet) 3445e +8.620sin(2t)-3.445 cos(2t) (d) vc(t) 3445e +17.241sin(2t)-3445cos(2t) Select the one best answer from the choices given below. a. Answer choice (a) b.Answer choice (b) C.Answer choice (c) d.Answer choice (d)
e-27 2. Calculate L et sint+e-2t cos st sint+e-2 cos 3t+t%e3+ + ✓at ec [e*sin U2n(t) sin 2t sin 21