find the slope between the two points:
P (1,2)
Q (0,3)
What is -1
100
Find the limit
f(x)= (x^2-5)
x--> 1
What is -4
100
Use the Derivative Definition
f(x)= x^2+3x
What is 2x+3
100
A farmer has 2000ft of fencing to enclose his pasture. The field will be shaped like rectangle and will be placed against a lake. What dimensions will produce the largest area?
What is x=1000ft, y= 500ft
100
Find the position function
a(t)= 3t, v(0)=2, and s(1)=3
What is t^3/2 +2t+1/2
200
Find the equation of the line m= -1/2, passes through P(1,-2)
What is y=-1/2x-3/2
200
Find the limit of the Function
f(x)= Lim (x^2-3x-4) / (x-4)
x--> 4
What is 5
200
Use the derivative definition
f(x)= -2x^2 - 4x + 3
What is -4x-4
200
Blood pressure in a patient will drop by an amount D(x)=.025x^2(30-x), where x is the amount of drug injected in cm^3. Find the dosage that provides the greatest drop in blood pressure.
What is x=20 cm^3
200
find the position function a(t)= 1, v(2)=2, s(0)=1
What is t^2/2 + 1
300
Find the general form of the equation of the line
passes through (-1,3) and is perpendicular to 3y+6x=9
What is 2y-2x=-5
300
Lim (sqrt (x+5)-sqrt(5)) / x
x→0
What is 0
300
Use the derivative definition
f(x)= x^3 - 7x
What is 3x^2 -7
300
A fisheries biologist is stocking fish in a lake. She knows that when there are n fish per unit of water, the average weight of the fish will be W(n)= 500-2n. What is the value of n that will maximize the the total weight after one season? Hint: Total weight= number of fish * average weight.
What is n=125
300
Find the constant for the velocity function
a(t)=3t^4 - t^3 +6t -7
v(5)= -6