Let f(x) = -x^2 - 4x + 2, find f(-3)

Find the equation of the line through the point (-2,1) and have the following characteristic: slope of (-4/3).

A rectangular water tank is being filled at the constant rate of 20 liters/second. The base of the tank has dimensions w= 1 meter and L= 2 meters. What is the rate of change of the height of water in the tank?

lim x^2 + 2x -7, x approaches 3

Given y= 4e^x, find the third derivative.

If f(x) = 4x - x^2 find f(4) - f(-4)

A line passes through the points (2,-1) and (4,4). Write the equation of the line in point slope form that is perpendicular to that line and passes through the point (-1, 4)

An airplane is flying in a straight direction and at a constant height of 5000 meters. The angle of elevation of the airplane from a fixed point of observation is a. The speed of the airplane is 500 km/hr. What is the rate of change of angle a when it is 25 degrees?

lim x approaches 5, (x^2 -2x-15)/(x-5)

Determine the derivative of y= cscx -cotx.

If f(x) = x^2 -5x + 8 find f(-6)

Find the equation of the line passing through the points (–5, 7) and (2, 3).

Determine the rate of change: y= x^2-3 on [1,2]

lim x approaches 4, (x^2 -1)/ (x-4)

Find the derivative y= (3x^2 -1)^5

Let f(x) = 2x-3 and g(x) = 5x+1, find g(f(6))

Find an equation of the straight line hat is perpendicular to x + 5y= -3 and passes through the point (-1,4).

Find the rate of change of a line having the points (4,12) and (9,19)

Refer to the graph: lim x approaches infinity, g(x)

y= ln4x^4

If f(x) = { x^2 - 3, x_>0 find a) f(5)
2x+1, x<0

Find an equation of the straight line that passes through the points (-4,5) and (6,0).

Calculate the rate of change of a line crossing the points (3,8) and (6, 17)

Refer to the graph: f(-3)

y= (x^4--5) x (e^4x^5)