2. Let g(t)=e-2,[sin(6π) + 2 cos(3m)]. FindJa-2)g(t)dt. 3. Let g(1)=-2111(1)-11(1-2)|. Plot g(t) Using g(t) from problem...
2. Let g(t)=e-21[sin(6m)+2cos(3m). Find | δ(1-2)g(t)dt.
1. Show that if x(t) is an even function of t, then X(jw)2 (t) cos(wt) dt and if r(t) is an odd function of t, then X(jw)2j (t) sin(wt) dt
answer 1,2,3,4 thank you. HW4.5: Problem 1 Previous Problem Problem List Next Problem 1 point) Evaluate each of the integrals (here &(t) is the Dirac delta function) (60-3)dt (2)cos(3t)S(t -2) dt- (3)/eTst cos(4t)(t - 3) dt - c0 sin()(t - 5) dt- HW4.5: Problem 1 Previous Problem Problem List Next Problem 1 point) Evaluate each of the integrals (here &(t) is the Dirac delta function) (60-3)dt (2)cos(3t)S(t -2) dt- (3)/eTst cos(4t)(t - 3) dt - c0 sin()(t - 5) dt-
let two vectors be a(t) = e^t i + (sin 2t) j + t^3 k and b(t) = (e^-t , cos 3t, - 2 t^3) in euclidean three space R^3. Find d/dt [a(t) * b(t)].
Unanswered 0/2 pts Question 18 Let G(X) = Set (t? - sin(t?)) dt. Find G'(x). Correct Answer O evo [c2x – sin (e24)] sin (22) - 230 -e* [e2+ sin(e200)] 2xe 2.2 + cos(e230) 23 2* — sin (2) None of these
Please answer with all steps. Thanks Given "x4 3 cos + 7 sin t 0.75_dt F(x) =let, d, G(x) =1 dt 5t0.75 0 Using the Fundamental Theorem of Calculus Part II, calculate the limit Lim Given "x4 3 cos + 7 sin t 0.75_dt F(x) =let, d, G(x) =1 dt 5t0.75 0 Using the Fundamental Theorem of Calculus Part II, calculate the limit Lim
2. Determine the following: T/2 (3 sin2 t cost İ + 3 (a) j + 2 sin t cos t k) dt sin t cos" t tan2 t t3-8 (b) lim sin t sin 2t t +2 2. Determine the following: T/2 (3 sin2 t cost İ + 3 (a) j + 2 sin t cos t k) dt sin t cos" t tan2 t t3-8 (b) lim sin t sin 2t t +2
Find the following integrals using integration by parts (IBP) (e) cos'(t)dt (f) S[In(t)]?dt (g) 83" 02 sin(20)de
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)...
Establish the identity. 1 - sin 0 cos e + COS 0 1 - sin e = 2 sec Write the left side of the expression with a common denominator. Do not expand the numerator. cos (1 - sin o) Expand and simplify the numerator by rewriting without any parentheses. + cos20 cos (1 - sin o) Apply an appropriate Pythagorean Identity to simplify the numerator of the expression from the previous step. cos (1 - sin o) (Do not...