A mouse on a tightrope is moving such that its position relative to some fixed point is given by x(t)=−2/3t^3+9t^2−36t+18 where x is measured in centimeters and tt is measured in seconds. Write an expression for the mouse's velocity. v(t)=v(t)=

Q: Fina aly for y = 3x V3-x4

A: we have to find dy for given y

Q: • / VI - x² dx

A:

Q: Find the distance traveled after 6 seconds by a particle whose velocity is v(t) = (t − 2) meters at…

A: Given

Q: A particle's acceleration is given by the expression a(t) = 3t2 m/s². The particle was measured to…

A:

Q: In an object was thrown upward at 64 ft/s from a height of 20 feet, its height h after t seconds is…

A: (A) To calculate the average velocity between 1 and 2 seconds, you can use the formula for average…

Q: The potential difference (V) across a capacitor that is discharging changes with time (t) according…

A: Sure, here is the graph: Be sure to check the data in the chart to make sure I got it right.

Q: r=secxcscsx dr/dx=

A:

Q: determine whether the sequence is monotonicand whether it is bounded. an = 2n3n/n!

A: Given: an=2n3nn! We have to determine whether the given sequence is monotonic and bounded.

Q: Find the conjugate of the expression. √7-z

A: We know that if z=x+iy,x,y∈ℝ then conjugate of z is z¯=x-iy .

Q: dx sinh3x tanh3x S

A:

Q: Evaluat dx (b) 2.6 m2

A:

Q: he concentration, C , of a certain drug in the bloodstream, t hours after injection, is given by the…

A: Given that the concentration, C , of a certain drug in the bloodstream, t hours after injection, is…