Let f(t) = t? and g(t) = 2t + 3. Find f*g. Select one: 1 t4 +3t3 12 123 a. 1 b. t +t3 1 +4 +t3 + 3t? 12 *** +++ Type here to search
3) Givenr"(t) = (6t + 4)+(-sint)i + (-4cos(2t))k, and r'O) = 0 and r(0) = 41 -1+k a) find r(t). 4) Givenf (x,y) = 6xły – yex-1 a) Find Vf(x,y). Show all support work! b) Find the direction of maximum increase of f(x,y) at the point (1,-1).
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. Evaluate e, ds where C is given by α(t)-(et cost, et sint, t), 0-t-2T. π.
The sketch of the following periodic function f (t) given in one period f(t) t2 -1, 0s t s 2 is given as follows f(t) 2 -1 We proceed as follows to find the Fourier series representation of f (t) (Note:Jt2 cos at dt = 2t as at + (a--)sina:Jt2 sin at dt = 2t sin at + sin at. Г t2 sin at dt-tsi. )cos at.) Please scroll to the bottom of page for END of question a) The...
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 -...
Question The value of the integrale sint t )dt Select one: O a. equals to O O b. equals to 1. O ö C. equals to 0. d. equals to o e. does not exist.
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.
Find the limit. 4- 34 lim 1-0 Select one: a. oo b. 1 0 C. In 3 - In 4 O d. 0 0 e. None of these O f. In4- In 3
all parts -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)...
1.) 2.) Find f(t) for the function F(s) = 52 - 8s + 4 (s + 1)(8 + 2)2 Multiple Choice O =-24e-t+ + (-12)e-2t+6 +(-24)te-27 O 19 = (13e-++(-12)e-2t +(-24)te-210 O p0 = (13e-+ +(-24)e-2t+ (-12)te-24) (0) O 10 = 8e-t +(-12)e-2t *+ (-24)te-27 Identify f(t) for the function F (s) = 32 + 1 (s+3)(s2+4s+5) Multiple Choice 5e-3t_4e-2 tsin(t) О (5e-3t_4e-2tcos(f)( (5e-3t+4e-2tcos() 4e-36-5e-2tcos()