Limits
limit x approach 0 (5x+2)
2
d/dx(13x)
13
integral of x
x^2/2+c
A candy shop has 250 booths to rent. If they rent x booths then their monthly profit is:
P(x) = -8x^2+3200x-80000
How many to rent to get max profit
200
How do we find area between curve
integral of upper function- lower function
limit x approach 0 (12x^2+2x+3)
3
d/dx (sin^2(x))
sin 2x
integral of 1/x^2
-1/x+C
what does mvt state
if a function f is continuous on the closed interval [a,b] and differentiable on the open interval (a,b), then there exists a point c in the interval (a,b) such that f'(c) is equal to the function's average rate of change over [a,b]
What is the area between fx =sqrtx-2 gx = 14-x and x=2
99/2
lim x approach infinity (sin6x)/2x
=0
d/dx(e^2x)
e^2x*2
integral of sin^2(x)dx
1/2(x-1/2sin(2x))+C
f(x)=x^3+2x^2-x on [-1,2]
.7863
what is the area between 2 points where graaphs cosx and -cosx+2 meet
4pi
lim x apprch infinity (sqrt9x^2+x -3x)
1/6
The derivative of sec x with respect to x is given by
sec x tan x
integral pi top 0 bottom sinxi
2
What is the average value of 8-2x^3, on the interval [3,4]
-104
a rod has a angular velocity of 0.2e^0.2x degrees
how many degrees does the rod move from x=1 to 3
e^.6-e^.2
limx aprch 3(4x^7+23)
8771
y=ln((x^2+1)/(x+3))^2
dy/dx=2(x^2+6x−1)/(x^2+1)(x+3)
integral pi top 0 bottomcosx
o
What is the average value of sinx on interval -6 le4ss than x lesstan -1
(cos6-cos1)/5
a cake increases mass by 25/x+3 inches an hour. how many inches did the cake increase between 0 and 4 hours
25ln7/3