Use graphs to find groups of expressions that appear to be identically equal. (a) 2cost +...
D Question 5 D Question 7 20 pts Find the Laplace transform. £{/0) of the following function: Solve the following Initial Value Problem: " + 4y = sint - Ul(t - 2) sin(t - 2n), y(0) -0,(0) = 0 * (+64 +5) +ed (cos(36) + sin(5t)) None of the given answers is correct Owt) --sint + sin(2t) - (t - 2x)} sin(t - 2x) - sin(21 – 2*))] (t) = sint - sin(2) - 11(- 21) sin(-2) - sin(2t -...
Match each given vector equation with the corresponding curve. y4 0 b a (0, 1,0) (1,0,0 , 1,0 d C 2 A (0,0. 2 y- r(t)= (, ? r(t) (sin (t),t) r (t) (t, cos (2t), sin (2t)) ? v r (t) (1 +t,3t,-t) r (t) (t)i-cos (t)j+sin (t) k =COS r(t)=i+tj+k r(t) i+tj+2k r(t)= (1,cos (t).2sin (t)
Match each given vector equation with the corresponding curve. y4 0 b a (0, 1,0) (1,0,0 , 1,0 d C 2 A...
Problem 2. In this problem, we will use Euler's formula to derive some trigonometric identities. (a) Using Euler's formula and the property that ez+w = e ew for any complex numbers z and | W, show that cost + sin? t = 1. (Hint: Start with 1 = eit-it.) (b) Similarly, show that cos(2t) = cos? t – sint. (Hint: Start with cos(2t) = Re(ezit).) (c) Similarly, show that sin(2t) = 2 sint cost. (d) Similary, show that cos(3t) =...
Help its for my Final Homework
Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. x' = 3x - 4y + sint y' = 2x-y-cost Eliminate x and solve the remaining differential equation for y. Choose the correct answer below. sint sint 10 cost + CA. y(t) = C, e cos 2t + Czesin 2t + 10 -cost 10 9 3 O B. y(t) = C, e -...
i need these 2 question please it will be helpful thank u
Document your solution to each problem. Clearly identify each step when solving a problem. 1. Find the Laplace transform off(t) when, K = 1. T1 =-27, =-1,73 = 1 and T.-3. 수 f(t) 2K 2. For the following functions, compute the Laplace transforms. You can use the tables for this question. a. f(t) (t) -2u(t) +u(t 1) b. g(t) 3e-C-u(t - 1) c. h (t) = 3 sin(t)...
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...
use
Theorem 7.2 to find L{f(t)} (i have pictured the table of 7.2)
** just solve #26 & #30 please!! NOT 28**
thank you!!
26. f(t) = (2t - 1) 28. f(t) = t - e-9 + 5 30. f(t) = (e' - e-)2 THEOREM 7.2 Transforms of Some Basic Functions (a) L{1} = 1 (b) L{t"} = 1 n = 1, 2, 3,... (C) L{e} = 1 (e) L{cos kt} = 2 * 2 (() {{sinh k} = 1...
for the curve r(t) find an equation for the indicated
plane at the given value of t
56) r(t) (t2-6)i+ (2t-3)j+9k; osculating plane at t=6 A) x+ y+(z+9)=0 C)x+y+ (z-9)-0 56) B) z-9 D) z -9 (3t sint+3 cos t)i + (3t cos t-3 sin t)j+ 4k; normal plane at t 1.5r.. A) y=-3 57) r(t) 57) B) y 3 C)x-y+z-3 D) x+y+z=-3
56) r(t) (t2-6)i+ (2t-3)j+9k; osculating plane at t=6 A) x+ y+(z+9)=0 C)x+y+ (z-9)-0 56) B) z-9 D)...
Match the graphs with their parametric equations. II y 2.0 kor 1.51 0.5 1.01 -1.0 -0.5 0.5 1.0 0.5 -0.51 -1.0 -0.5 0.5 1.0 ho IV 8 III у 0.21 6 0.1 х 40.2 -0.1 0.1 0.2 -0.1 -0.2 VI v у 11.06 у 0 0.B os 0.6 0.4 |-ho -0.5 0.5 102 -0.5 0.5 1.0 1.5 2.0 2.5 3.0 (a) x = 44 - t + 1, y = 42 Х IV = 42 – 2t, y = VE...