The position of a particle moving in a straight line is given by s(t) = e¹2t cos(5t) for t> 0 where t is in seconds. If the particle changes direction at time T seconds, then 7 must satisfy the equation: A. tan(5T) = 2.4 B. tan(57) 4.8 C. cos(5T) = 0 D. e-T 5 sin(57)-25 cos(57)) (cos(57)+5 sin(5T))

Q: Given

A: Here, we compare given f(x) to a sin(bx+c)+d

Q: On another planet, after t seconds, Cora hurls a projectile with initial velocity vo and angle from…

A: On another planet, after t seconds, Cora hurls a projectile with initial velocity v0 and angle θ…

Q: If the solution to ſe2* sec²(e²×+1)dx is equal to k tan(e2x+1) + C , find the exact value of k.

A: We know, ∫sec2(x)dx=tan(x) ddxemx=memx

Q: A bee flies along a path given by r(t) = . Knowing that the bee started on this path at t = 0…

A: rt=sin2ti^+cos2tj^+5t+1k^ Differentiating w.r.t. 'x' to both sides, we get-…

Q: 12. Which equation represents the cosine function with amplitude 2 and period 4z. (a) y (с) y = 2…

A:

Q: The equation S=6sin(t) – cos(t) gives the position of a body moving on a coordinate line (s in…

A:

Q: ● ftans (x) sec (x) dx M

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Given that f(x) = −3 cos(πx − 2) + 1, find the following quantities: (a) The Amplitude. (b) The…

A: Consider the given function fx=-3cosπx-2+1. Note that, the general form of the cos function is…

Q: An alternating current is described by the function i(t) = – 13 sin(450t + 40°) milliamperes, where…

A:

Q: Graph the epitrochoid with equations x  =11 =cos t - 4 cos(11t/2), y = 11 sin t - 4 sin(11t /2)

A:

Q: A particles velocity is 7 cos(2t) meters per second. at time t=0 its gone  2meters, where is it  at…

A: The velocity of the function is given as: