Taylor Series
U-Sub
Polar
Volumes Category
Optimization
100
e^(x)
1+ x+ x^2/2! + x^3/3! + x^4/4!
100
∫(2x+5)(x^2+5x)^7dx
(1/8)(x^2+5x)^8+C
100
What does x equal what does y equal
x=rcos(0) y=rsin(0)
100
What is equation for finding the area between two lines
∫(outer)-(inner)dx
100
what derivitive is the max and min determined in
first
200
sin(x)
x - x^3/3! + x^5/5! - x^7/7!
200
∫√(7x+9)
(2/21)(7x+9)^(3/2) +C
200
What does 0 equal
tan^-1(y/x)
200
What is equation for finding the volume
∏∫(outer)^2-(outer)^2 dx
200
Sum of 2 numbers is 10 what is their max product
25
300
cos(x)
1 - x^2/2! + x^4/4! - x^6/6!
300
∫4cos(3x)
(4/3)sin(3x)+C
300
what does r equal
sqrt(x^2+y^2)
300
Give the correct integral for the area of Between lines 4-x^2 and x^3 + 2
2 ∫(X^3+2)-(4-x^2)dx 1
300
2400 ft of fencing no side on the river, what is the max area
720,000 ft
400
e^(x-1)^2 about x=1
1+ (x-1)^2 + (x-1)^4/2! + (x-1)^6/3!
400
∫e^(5x+2)
(1/5)e^(5x+2)
400
What are the polar coordinates for (3,8)
(8.54,69.4deg)
400
What is Volume of x^2 from 0 to 2
2 ∏∫(x^2)^2 32∏/5 0
400
A farmer wants to construct a rectangular pigpen using 1000f t of fencing. What dimensions should should the pigpen be to maximize area and what is the maximum area?
62500s
500
what is taylor series for x around 2
(x-2) + (x-2)^2/2 +(x-2)^3/3! + (x-2)^4/4!
500
∫(x^2+1)/(x^3+3x)
1/3ln lx^3+3xl + C
500
r=3 r=4-2sin0 curves intersect at pi/6 and 5pi/6 find area in between curve
24.709
500
y=sin(∏x) and y=x^3-4x give correct integral for finding the volume.
2 ∫((sin(∏x)-(x^3-4x))^2dx 0
500
We want to construct a box whose base length is 3 times the base width. The material used to build the top and bottom cost $10/ft2 and the material used to build the sides cost $6/ft2. If the box must have a volume of 50ft^3 determine the dimensions that will minimize the cost to build the box.
$637.60