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Derivatives
Limits
Particle/Projectile Motion
Anti Derivatives
Volume/Area
100
y'= 3x^(2)-2
What is x^(3)-2x
100
the value that a function or sequence "approaches" as the input or index approaches some value
What is the definition of a limit?
100
A rocket is propelled from earth at 100 m/s. it's height can be modeled by s(t)=100t-4.9t^(2). When will it reach its max height?
What is 10.204 seconds
100
The derivative of f(x)=x^3 is...
What is F'(x)=3x^2
100
Volume equation of a rectangular prism.
What is volume=length*width*height
200
if f(x) and g(x) are differentiable functions and if h(x)= f(x) * g(x) then: h'(x)= f'(x)*g(x)+g'(x)*f(x)
What is the product rule?
200
The end behavior model of f(x)=4x-5x^(3)+2 is...
What is -5x^(3)
200
You jumping off a cliff
What is an example of projectile motion?
200
The derivative of f(x)=sinx+c is...
What is f'(x)=cosx
200
Equation to find the area of a triangle
What is A=(1/2)bh
300
f'(x)=((2x-4)(3x^(2)+3x+1)-(6x+3)(x^(2)-4x+6))/(3x^(2)+3x+1)^2
What is find the derivative of f(x)= (x^(2)-4x+6)/(3x^(2)+3x+1)
300
The limit of (8-3x)/(x-7) as x approaches infinity is...
What is -3
300
A particles position can be modeled by: s(t)=t^(3)-7t^(2)+6t. What is the position of the particle at t=6?
What is 18?
300
the derivative of f(x)= tanx+c is...
What is f'(x)=sec^2(x)
300
A region enclosed by the curve y=sinx and the x-axis between [0,pi] is revolved around the x-axis. Find the volume.
What is pi^2/2
400
y'=5x^(4)-(8/5)x^(-1/5)-9x^(-4)+4
What is x^(5)-2x^(4/5)+3x^(-3)+4x
400
All vertical and horizontal asymptotes of f(x)=tanx
What is Horizontal asymptotes=none and Vertical asymptotes=none
400
A particles position can be modeled by s(t)=t^(3)-7t^(2)+6t. The Particles acceleration at t=2 is...
What is -2
400
the derivative of f(x)=(tanx^-1)+c is...
What is f'(x)=1/(1+x^2)
400
A region enclosed by y=x^2 and the x-axis between (0,5) is revolved around the x-axis. Find the volume of the solid.
What is 625pi u^3.
500
y'=x^(3)-(1/2)x^(2)-1 y''=3x^(2)-x
What is find the first and second derivative of y=(x^(4)/4)-(x^(3)/6)-x
500
The limit of (x^(2)-5x+4)/(x-1) as the limit approaches 1 is...
What is -3
500
A rockets position can be modeled by s(t)= 120t-4.9t^(2). The max height of the rocket is...
What is 734.693 meters
500
the derivative of f(x)=(3^2x)+c is...
What is f'(x)= 2ln3*3^2x
500
Explain the Washer Method.
What is 1. Sketch 2. Determine the equation for the big radius R 3. Determine the equation for the little radius r 4. A(x)=pi(R^2-r^2) 5. Integrate A(x) over bounds