Please solve this question, thank you!
Evaluate e, ds where C is given by α(t)-(et cost, et sint, t), 0-t-2T. π.
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
Given the path C: x(t) = (cost, sint, t), 0<t<2n. Let f(t, y, z) = x2 + y2 + 22. Evaluate (12 pts) f(,y,z)ds.
1. Find 12 + y² + 22 ds where is the helix r(t) = (a cost, a sint, bt) and 0 <t<l. 2. Evaluate |(2.84 +248, +16) - dr where C' is a curve that begins at (0,1) and ends at (1,2).
Find f. f'(t) = 2t - 4 sint, (0)= 5 Select one: a. f(t) = 2t - 3 sint +5 O b. f(t)= +2 +4 cost +1 c. f(t)=12 - 3 cost-5 d. f(t) = x2 +3 cost e. None of these
(22 - y2 + 2)ds, here C is the curve r(t) = (3 cost, 3 sint, 4t) with 0 <t<2.
Evaluate 1 dS where s is the surface z = 3 inside the cylinder x2 + y2-1. B.π C. 3/2 D. 2T E. 3π Evaluate 1 dS where s is the surface z = 3 inside the cylinder x2 + y2-1. B.π C. 3/2 D. 2T E. 3π
please be clear as possible. thanks 2. Evaluate the line integral where C is the given curve: BE SURE THAT YOU PARAMETERIZE EACH CURVE! (a) e dr where C is the are of the curve r y' from (-1,-1) to (1, 1): (b) dr dy where C conusists of the arc of the circle 2+ 4 from (2.0) to (0.2) followed by the line segment from (0.2) to (4,3) (c) y': ds where C is the line segment from (3,...
3. Let C be the curve r(t) = < sint, cost, t>,0 sts 1/2. Evaluate the line integral S ry ryds. 1/V2. 1/2, V2, 0,
y(t) is INCORRECT but x(t) is CORRECT DIFFERENTIAL EQUATIONS / Linear Algebra Only people that are proficient in DIFFERENTIAL EQUATIONS should even attempt to solve. No beginners or amateurs allowed. Please write clearly and legibly. No sloppy Handwriting. I must be able to clearly and easily read your solution and answer. Circle final answer. BELOW is an example of what the answer should look very similar to. should be in the same form basically. example 7.10.4 Question Help Use the...
7- Evaluate each of the following line integrals: (a) /xdy-ydx, c(t)-(cost,sint), 0<t<2π (b) xdx+ydy, c(t)-(cos(), sin,OSIS2 (c) yzdx +xzdy +xydz, where c consists of straight-line segments joining (1,0,0) to (0,1,0) to(0,0,1) 7- Evaluate each of the following line integrals: (a) /xdy-ydx, c(t)-(cost,sint), 0