Slope Fields
Tan Line Approx.
2nd deriv+concav
Intergrals+Separation of intergrals
Extremely Random Bonus
100
which is the differential equation for the graph above?
a) dy/dx = x^2 + y^2 b) dy/dx = x^2
c) dy/dx = 2 - y d) dy/dx= x - y
what is a)
100
Consider the differential equation dy/dx=xy/2
Let f be the function that satisfies the given differential equation. Write an equation for the tangent line to the curve y=(x) through the point (1,1)
what is y-1=1/2(x-1)
100
f is concave up on its domain and f(4)=5 and f´(4)=3
a) what is the estimate for f(12) using local linear approximation for f at x=4
b) Is it an underestimate or overestimate
what is y=29
what is an underestimate bc/ f(x) is concave up
100
dy/dx=3x^2/y
what is y= +/- square root 2x^3 + c
100
What are the names of Kim Kardashian and Kanye Westś kids?
what is North, Saint, Chicago, and Psalm
200
Math the correct graph to the differential equation dy/dx=1 - x^2
a)
b)
c)
what is c)
200
dy/dx=(5-y)cosx and f (0)=2
a) Write an equation for the line tangent to the graph of f at the point (0,2)
b) Use the tangent line to approximate f (2)
a) what is y-2=3(x-0)
b) what is y=8
200
The function f(x)=12x^3 - 2x^9 +12 is concave down at x=1
a) what is the estimate for f(3) using local linear approximation for f at x=1
b) Is it an underestimate or overestimate?
a) what is y=58
b) what is an overestimate because f(x) is concave down
200
dy/dx=ycox(x)
what is y= ce^sinx
200
Who is first in the English Premier league right now?
what is Manchester CIty
300
which is the differential equation for the graph above?
a) dy/dx= x + y b) dy/dx= In x
c) dy/dx= - x/y d) dy/dx= x
what is (c
300
Let f(x)= 4x^2 + 3
a) Find the tangent line to f at x=3
b) Use the tangent line from part (a) to approximate f at (1/2)
what is y= 24x-33
what is y= -21
300
Given the graph of f´´, find the points of inflection and state the intervals of concavity. Is it an overestimate or underestimate?
what is concave up (-infinity,-2)(1, infinity)
what is concave down (-2,1)
f has a poi @ -2 and 1
300
Find the solution y= f(x) to the differential equation dy/dx=2x/y with initial condition f(2)=1
what is y= square root 2x^² -7
300
What is a group of pandas called?
what is an embarrassment
400
which is the differential equation for the graph above?
a) dy/dx = x - y b) dy/dx= y - x
c) dy/dx= xy d) dy/dx= y + xy
what is b)
400
Let f(x)=cos^2(x). Use tan line approximation to estimate f(0.1)
what is y=1
400
consider the differential equation dy/dx= 6-2y
a) Find the value of the second derivative at the point (0,4)
b) Would the graph be considered concave up or down? Justify your answer.
a) what is 4
b) The graph would be considered concave up b/c the second derivative is greater than 0 at (0,4)
400
dy/dx=ysin(x) if y (pi/2)=2
what is y=2e^-cosx
400
Where does the code in ¨the matrix¨ come from?
what is sushi recipes
500
which is the differential equation to the graph above? a) dy/dx= x/y b) dy/dx= - y/x
c) dy/dx= -2xy d)dy/dx= 2x/y
what is a)
500
dy/dx= -4x/y and f(1)=3
A) Write an equation for the line tangent to the graph of f at the point (1,3)
b) Use the tangent line to approximate f (7)
what is: a) y-3=-4/3(x-1)
what is: b) y=-5
500
Consider the differential equation dy/dx= 1/2 x (not 2x) + y -1
Find the second derivative in terms of x and y
what is 1/2 (x) + y -1/2
500
dy/dx=6x^2 if y(0)=-2
y= - square root 4x^3 + 4
500
How are velociraptor noises in Jurassic Park actually made?
What is tortoises mating