The position function of a particle is given by r(t) = t2, 2t, t2 − 16t . When is the speed a minimum? Step 1 To find when the speed is a minimum, we need to find the speed as a function of t, then find its derivative and see when it is 0. We begin by finding the velocity vector. Since r(t) = t2, 2t, t2 − 16t , we have v(t) = r'(t) = .

Step-by-step explanation:

The position of a particle is given by

Differentiating the above with respect to t, we get, velocity v(t) = .

Hence, the speed of the particle at t is .

The speed will be minimum, if

.

The speed will be minimum at t = 2.

At t=2, the speed is 14.

inequality:

620-37.4p ≥ 450

the minimum amount of packages needed to be removed from the elevator is 5.

step-by-step explanation:

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!