Question 2 1 pts Calculate the unit normal № at time t = 1 of a curve r(t) where v(1) = (0.7707, 1.4998, 1.4334) and a(1) = (-1.1350, 3.3871, -1.0273). Then sin(N · i) + sin(N · j) + sin(N · k) is -0.2646 O-2.6480 O-2.1779 O-2.7855 1.1551 -0.3903 -2.9924 O 0.4027

An object is attached to a spring. Assume that this object passes through its equlibrium position at times t = 0, 3, 6, 9...seconds. Assume that v(0) = 9 meters/seconds. (a) The position is x(t) = Acos(wt + o) where A = w= (b) Find the amplitude, the period and the frequency of x(t). Amplitude = meters. Period= seconds. Frequency= 1/seconds.

Show that tan-1 ( 1/v ) = π/2 - tan-1 v, if v > 0.

Differentiate. Fx) = 7V sin(x) f '(x) = Need Help? Read It Submit Answer Practice Anoth 2. -/1 points SCALCET8 Differentiate. y = sec(6) tan(8) y'= Need Help? Read It 3. -/1 points SCALCET8 Differentiate. (8) sec(e) 9 + sec(8) f (8) =

· An angle modulated signal has the form V(t) = 100 cos(2nf t + 4 sin 2000 t) when f =10 MHz. (i) Determine average transmitted power. (ii). Determine peak phase deviation.

IVI Question 3.21 Derivatives of the Inve Find tan '(z*),, P. dz Submit EXAMPLE 5 Calculate 4 csc (e² + 1)_ P. CSC dz

6. An ant crawls along a linear path with a velocity of v(t) = cos(3t) inches per minute. (a) What is the ant's displacement on the time interval [0, 7/2]? Include units. (b) How far did the ant travel on the time interval [0, 7/2]? Include units.

Find the values of h, k, and a that make the circle (x - h)2 + (y - k)2 = a2 tangent to the parabola y = x2 + 1 at the point (1, 2) and that also make the second derivatives d2y/dx2 have the same value on both curves there. Circles like this one that are tangent to a curve and have the same second derivative as the curve at the point of tangency are called osculating circles.

Compute central difference approximations for the first derivative of the function, y = cos(sin(x)+ 1), at x = 1.05 using a value of Ax = 0.05. ... a. -0.475751 b. -0.492344 с. -0.500128 d. -0.505727

i need the answers for the circled quistions please