Evaluate `5t+4` if `t=3​`

Evaluate : ( 3^(-2) times ( 5^2 )^-3 times ( t^-3)^2 )/ ( ( 3^-2 )^5 times ( 5^3 )^-2 times ( t^-4 )^3 )

Subtract : 3t ^(4) - 4t ^(3) + 2t ^(2) - 6t + 6 from - 4t ^(4) + 8t ^(3) - 4t ^(2) - 2t + 11

A particle moves in an XY-plane in such a way that its x and y-coordinates vary with time according to x(t)=t^(3)-32t, y(t)=5t^(2)+12 Find the acceleration of the particle, if t = 3 s.

Find the value of each of the following polynomials at the indicated value of variables: (i) p(x)=5x^2-3x+7 at x=1 (ii) q(y)=3y^3-4y+sqrt(11) at y=2 (iii) p(t)=4t^4+5t^3-t^2+6 at t=a

The displacement s of a particle at a time t is given bys =t^(3)-4t^(2)-5t. Find its velocity and acceleration at t=2 .

The displacement of a particle at time t is given by s= 2t^(3) -5t^(2)+ 4t-3 . Find the velocity when t = 2 sec.

5.The displacement s of a particle at a time t is given by s=2t-5t+4t-3, find (i) the time when the acceleration is 14 ft/sec (ii) the velocity and the displacement at that time.