Need some help with these please and thank you!
For what values of? a, m, and b does the function? f(x) satisfy the hypotheses of the mean value theorem on the interval [0,4]??
?f(x) = {-1 x=0
-x2+3x+a 0
mx+b 1≤x≤4
**An object is dropped from a? tower, 173 ft above the ground. The? object's height above ground t sec into the fall is s=173-16t^2
a. What is the? object's velocity,? speed, and acceleration at time? t?
b. About how long does it take the object to hit the? ground?
c. What is the? object's velocity at the moment of? impact?
The? object's velocity at time t is
The? object's speed at time t is ft/sec
The? object's acceleration at time t is ft/sec^2
It takes sec for the object to hit the ground.
?(Round to the nearest? tenth.)
The? object's velocity at the moment of impact is ft/sec
***The volume V=4/3πr3 of a spherical balloon changes with the radius.
a. At what rate ?(in3?/in?) does the volume change with respect to the radius when r=10 in?
b. Using the rate from part a?, by approximately how much does the volume increase when the radius changes from 10 to 10.2 in?
***Find the smallest perimeter and the dimensions for a rectangle with an area of 169 in^2.
The smallest perimeter for a rectangle with an area of 169 in^2 is in.
?(Simplify your? answer.)
The dimensions of this rectangle are in
****Assume that x=x(t) and y=y(t). y=x3+2 and dx/dt?=2 when x=3
dy/dt = I got 3x^2........ is this right??
****Find the smallest perimeter and the dimensions for a rectangle with an area of 169in^2 = in
The dimensions of this rectangle are in