20 questions
dy/dx=0.04y(3-y/120). What is the carrying capacity of the population? (Inactive)
0.04
3
120
360
Which shows the correct separation of variables for
dy/dx = 16xy - 24y?
24 + dy = 16xy dx
1/(16xy - 24y) dx = dy
(2x - 3) dx = 1/(8y) dy
2xy dx = (8 - 12y) dy
What is the equation of the line tangent to
y= x2+2x-1 at x=1? (Inactive)
y=2x
y=4x-2
y=4x
y=2x-2
Find the solution to the problem above (Inactive)
A
B
C
D
E
15x2
(5/4)x4
indeterminate
∞
0
∞
sec2x
secxtanx
Find the value of c that makes the function f(x) continuous.
-3
-2
-1
c=0
Determine the limit as x approaches 4 from the left (Inactive).
+ Infinity
- Infinity
Either one.
1/5
1
5
Does not exist
Find dy/dx
xy+y2=2
-y/(x+2y)
y/(x+2y)
-3y/x
-3x/y
Given the graph of f '(x), f(x) has ...
a local min at x = -6
a local min at x = 2
a local min at x = 2 and
a local max at x = -6
local mins at x = -2, 5 and
a local max at x = 3
Given the following graph of f', the derivative of f. For what x-value does f have a relative minimum?
x=-1 and x=4
x=-3
x=1
x=3
A ladder 13 feet long rests against a vertical wall and is sliding down the wall at the rate of 3 ft/s at the instant the foot of the ladder is 5 feet from the base of the wall. At this instant, how fast is the foot of the ladder moving away from the wall? (Inactive)
5/36 ft/sec
36/5 ft/sec
-36/5 ft/sec
-5/36 ft/sec
Louisa and Karis were each dropped off at the same bus stop. Louisa’s bus drops her off at 3:30 whereas Karis is dropped off ten minutes later. Louisa runs home at a constant rate of 6 mph and Karis runs home at 3 mph. Louisa lives north of the bus stop and Karis lives to the east. How fast is the distance between them changing at 4:00? (Active)
6.512 mph
7.115 mph
6.708 mph
6.641 mph
A man 6 feet tall walks at a rate of 5 ft/sec away from a light that is 15 ft above the ground. When he is 10 feet from the base of the light, at what rate is the length of his shadow changing? (Inactive)
10/3 ft/sec
25/3 ft/sec
3/10 ft/sec
3/25 ft/sec
Differential equation for the slope field is?
dy/dx = -x
dy/dx = x2
dy/dx = x/y
dy/dx = y/x
Find the volume of the region bounded by y = sqrtx, y = 0, x = 4 revolved around the x-axis (Inactive).
265pi/5
128pi/5
16pi
8pi
What is the formula for the volume of a solid using known cross sections? (where A(x) is the area of a cross section)
pi times Integral from a to b of A(x)
Integral from a to b of A(x)
Integral from a to b of (A(x))^2
pi times Integral from a to b of (A(x))^2