LIMITS & CONTINUITY
limx-->3 x/√(X+5)
(3√2)/4
A garden is to be laid out in a rectangular area and protected by chicken wire fence. What is the largest possible area of the garden if only 100 feet of chicken wire is available for the fence?
∫1+tan2x dx
∫4-3 X2 dx
91/3
How old is Mrs. Johnson
39
lim θ-->0 (1-cos2θ)/(1+cosθ)
0
A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric fence. With 600m of wire at your disposal, what is the largest area you can enclose, and what are its dimensions?
A=45000m2
∫6x/x2-1 dx
3ln l x2-1 l + c
∫2π0 sinx dx
0
Who is Mrs. Johnson married to?
Mr. Dave Johnson
Vertical asymptote of f(x)=5x/2x-1
1/2
A garden is to be laid out in a rectangular area and protected by a chicken wire fence. What is the largest possible area of the garden if only 100 running feet of chicken wire is available for the fence?
A=625FT2
y= -1/2cos(6x)+c
∫3-2 (3x-5)3 dx
-1198.75
How many kids does Mrs. Johnson have?
2
Horizontal asymptote of f(x)= 3x-5/6x2-x-15
An open box is to be made from a 15-inch by 25-inch piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides. What size should the squares be to obtain a box with the largest volume?
3.03in x 3.03 In
∫secxanx*esecxdx
∫41 (√X +3) dx
41/3
What town is Mrs. Johnson from?
Pearl River, NY
is f(x)= (3x2-x-2) /x-1 continuous?
No
An open box is to be made from a 15-inch by 25-inch piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides.
what should the max volume be?
513.05in3
∫1+tan2x dx
tanx+c
∫40 x dx
8
What color was Mrs. Johnson's prom dress?
BABY BLUE