= 150 suami suomauni un t r am DUL 1. Find the remaining 4 trig functions...
5) Find the remaining trig functions if coto Assume that is in Q11 sin = csc = cos sec= tan = cote TO
1. Find the exact value of the trig functions below.* 5 poin 1. a 5 3 4 sin = CSC 0 = Cos Ꮎ = sec 0 = tan = cot 0 = Your answer
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).
Given sect # 3 , t an acute angle, find the exact value of each of the remaining five trigonometric functions of t 4.
Given sect # 3 , t an acute angle, find the exact value of each of the remaining five trigonometric functions of t 4.
2. Find the Laplace transform of the following functions (a) f(t)3t+4 (b) cos(2Tt) (c) sin(2t T) (d) sin(t) cos(t) "Use Trig. Identity" (e) f(t) te 2t use first shifting theorem
1. Find the Laplace transforms of these functions: r(t) = tu(t), that is, the ramp function; Ae-atu(t); Be atu(t). 2. Determine the Laplace transform of f(t) = 50cos ot u(t). 3. Obtain the Laplace transform of f(t) = (cos (2t) + e 41) u(t). 4. Find the Laplace transform of u(t-2). 5. Find vo(t) in the circuit shown below, assuming zero initial conditions. IH F + 10u(i) 42 v. (1)
4. Suppose R and Q are functions such that: Q(-1) = 5 R(-1) = -4 R(5) = 7 Q'(-1) = -3 R'(-1) = 2 R' (5) = -1 Iff(x) = R(Q(x)), find f'(-1). f'(-1) = T.
1. Find the speed at the given value of t. r(t) = (7t + 4, 5t + 12, 3t + 3), t = 4 v(4) = Find the speed at the given value of t. r(t) = (sin(3t), cos(8t), cos(7t)), t = ! -() =
Problem 4 lly is flying around a room; his position at time t is r(t) = (3.cost, 2 sint,t"). temperature in the room is given by the function f(x,y,z) 5+ y + x2 + ys. What is the rate of change of the temperature experienced by the fly at timet? Problem 5 Find and using the chain rule. 1. S(x,y) = ye*, 1 = vº +v and y = uv. 2. /(x, y, z) = xy +sin , x =...
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Question 8 value 9p Show that the curve ที่(t-(2 + V2 cost, 1-sint, 3 + sin t , t e R lies at the intersection of a sphere and a plane. Find the curvature at an arbitrary point on the curve.
Question 8 value 9p Show that the curve ที่(t-(2 + V2 cost, 1-sint, 3 + sin t , t e R lies at the intersection of a sphere and...